India 2020 — INChO2020-Questions-en.pdf

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Problema 1

Question No 1 2 3 4 5 6 Total Marks 16 22 24 13 29 15 119 Marks Obtained

Signature of Examiner 1 H hydrogen 1.008 [1.0078, 1.0082] 1 18 3 Li lithium 6.94 [6.938, 6.997] 4 Be beryllium 9.0122 11 Na sodium 22.990 12 Mg magnesium 24.305 [24.304, 24.307] 19 K potassium 39.098 20 Ca calcium 40.078(4) 37 Rb rubidium 85.468 38 Sr strontium 87.62 38 Sr strontium 87.62 55 Cs caesium 132.91 55 Cs caesium 132.91 56 Ba barium 137.33 87 Fr francium 88 Ra radium 5 B boron 10.81 [10.806, 10.821] 13 Al aluminium 26.982 31 Ga gallium 69.723 49 In indium 114.82 81 Tl thallium 204.38 [204.38, 204.39] 6 C carbon 12.011 [12.009, 12.012] 14 Si silicon 28.085 [28.084, 28.086] 32 Ge germanium 72.630(8) 50 Sn tin 118.71 82 Pb lead 207.2 7 N nitrogen 14.007 [14.006, 14.008] 15 P phosphorus

30.974 33 As arsenic 74.922 51 Sb antimony 121.76 83 Bi bismuth

208.98 8 O oxygen 15.999 [15.999, 16.000] 16 S sulfur 32.06 [32.059, 32.076] 34 Se selenium 78.971(8) 52 Te tellurium 127.60(3) 84 Po polonium 9 F fluorine 18.998 17 Cl chlorine 35.45 [35.446, 35.457] 35 Br bromine 79.904 [79.901, 79.907] 53 I iodine 126.90 85 At astatine 10 Ne neon 20.180 2 He helium 4.0026 18 Ar argon 39.95 [39.792, 39.963] 36 Kr krypton 83.798(2) 54 Xe xenon 131.29 86 Rn radon 22 Ti titanium 47.867 22 Ti titanium 47.867 40 Zr zirconium 91.224(2) 72 Hf hafnium 178.49(2) 104 Rf rutherfordium

23 V vanadium 50.942 41 Nb niobium 92.906 73 Ta tantalum 180.95 105 Db dubnium 24 Cr chromium 51.996 24 Cr chromium 51.996 42 Mo molybdenum 95.95 74 W tungsten 183.84 106 Sg seaborgium 25 Mn manganese 54.938 43 Tc technetium 75 Re rhenium 186.21 107 Bh bohrium 26 Fe iron 55.845(2) 44 Ru ruthenium 101.07(2) 76 Os osmium 190.23(3) 108 Hs hassium 27 Co cobalt 58.933 45 Rh rhodium 102.91 77 Ir iridium 192.22 109 Mt meitnerium 28 Ni nickel 58.693 46 Pd palladium 106.42 78 Pt platinum 195.08 110 Ds darmstadtium 29 Cu copper 63.546(3) 47 Ag silver 107.87 79 Au gold 196.97 30 Zn zinc 65.38(2) 48 Cd cadmium 112.41 80 Hg mercury 200.59 111 Rg roentgenium 112 Cn copernicium 114 Fl flerovium 113 Nh nihonium 115 Mc moscovium 117 Ts tennessine 118 Og oganesson 116 Lv livermorium 57 La lanthanum 138.91 58 Ce cerium 140.12 59 Pr praseodymium 140.91 60 Nd neodymium 144.24 61 Pm promethium 62 Sm samarium 150.36(2) 63 Eu europium 151.96 64 Gd gadolinium 157.25(3) 65 Tb terbium 158.93 66 Dy dysprosium 162.50 67 Ho holmium 164.93 68 Er erbium 167.26 69 Tm thulium 168.93 70 Yb ytterbium 173.05 71 Lu lutetium 174.97 89 Ac actinium 90 Th thorium 232.04 91 Pa protactinium 231.04 92 U uranium 238.03 93 Np neptunium 94 Pu plutonium 95 Am americium 96 Cm curium 97 Bk berkelium 98 Cf californium 99 Es einsteinium 100 Fm fermium 101 Md mendelevium 102 No nobelium 103 Lr lawrencium 21 Sc scandium 44.956 39 Y yttrium 88.906 57-71

lanthanoids 89-103

actinoids atomic number Symbol name conventional atomic weight standard atomic weight 2 13 14 15 16 17 Key: 3 4 5 6 7 8 9 10 11 12 For notes and updates to this table, see www.iupac.org. This version is dated 1 December 2018. Copyright © 2018 IUPAC, the International Union of Pure and Applied Chemistry. IUPAC Periodic Table of the Elements Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

1 Problem 1

16 marks Chemistry of the artificial hair dyes Dyeing of hair is an ancient art. Earlier, dyes were obtained from plants such as indigo, henna, turmeric and amla. In dyeing with natural henna, an aglycone molecule (structure shown below), gets converted to orange colored Lawsone in the presence of an oxidant (such as air).

Hydroquinone (1,4-dihydroxybenzene) and analogous 1,4-diimine derivatives also undergo similar transformations under the influence of an oxidant. A chemistry teacher at a hair salon once observed the barber preparing a low-cost hair colorant for a customer by mixing a spoonful of brownish-white crystalline solid with H2O2 and shaving cream. A little investigation indicated that the white solid was a chemical called PPD (p-phenylenediamine). On further reading, the teacher realized that PPD was one of the first synthetic chemical launched for hair dyeing market in the year 1907. Later he found that most of the hair colorants being sold in the market, including the so-called “natural/herbal” hair colours had PPD in them. Hair proteins have iso-ionic points (when the number of +ve and –ve charged species in protein are equal) around pH = 4.8 6.8. Therefore, some of the hair dyes are also +vely charged species, which hair proteins absorb from neutral-alkaline solutions. In this problem, we will explore how colourless PPD leads to the intense black and numerous other hair colours. Under oxidizing condition, PPD gets converted to corresponding diimine A (C6H6N2).

1.1 Draw the structure of A.

Oxidant Aglycone Lawsone Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

2 B C D C (Hair dye) In aqueous solutions in the pH range 7-10, a small fraction of A molecules exists in monoprotonated form B. 1.2 Draw the structure of B.

Usually colour in organic molecules originates due to extended conjugation. Black colour is generated from PPD by two pathways I and II. Pathway I: In many commercial hair colorants, the white powder contains a mixture of several compounds (called couplers) along with PPD. Under oxidizing conditions, PPD reacts with different couplers producing different hair colors, which in specific combination give black colour. For example, oxidized form of PPD (B) reacts with the coupler m-phenylenediamine in aqueous phase to form the thermodynamically stable product C, which on further oxidation produces a blue hair dye D (a cationic species having two rings). 1.3 Write the structure of C and dye D.

When resorcinol is used as a coupler, a yellow-green dye E is produced which reacts with diazomethane to form a compound having molecular formula C20H18N4O2. 1.4 Write the structure of E.

E (Yellow-Green colour) B Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

3 G [O] H Rearrangement leuco-indoaniline Pathway II: When PPD is alone subjected to oxidation, the oxidized form A slowly gets polymerized to give an intermediate F, which on further oxidation gives an intense black hair colour. 1.5 Write the part-structure of the polymer (F).

The oxidative coupling of 4-dimethylamino aniline with phenol can take a different pathway. A 2 e oxidation of 4-dimethylamino aniline generates a cationic intermediate species G. Reaction of phenol with G, produces a colourless species leuco-indoaniline, which gets easily oxidized to give a dye, indoaniline. Quantum mechanical calculations indicate that conversion from G to leuco-indoaniline can go through a very low energy pathway involving formation of another intermediate species H. Due to $\pi -\pi$ stacking interactions between two rings, H can easily rearrange to produce leuco-indoaniline.

1.6 Draw the most stable resonance form of G and possible structure of H.

F Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

4 Around the period of discovery of poly-PPD, scientists were able to polymerize aniline also. Some poly-anilines were found to be good electrical conductors, leading to Nobel Prize award in 2000 to Alan G. MacDiarmid, Alan J. Heeger and Hideki Shirakawa. In acidic medium and presence of an oxidant, aniline first forms a polymer I having empirical formula C12H10N2, which on subsequent partial oxidation (with 50% of the polymer chain getting oxidized) produces J. Protonated form of J exhibits high electrical conductivity.

1.7 Write the part structures of polymers I an

Topic: Modern-Quantum Physics Metodi: Physical Modeling Competenze: Physical Reasoning, Diagrammatic Reasoning Fonte: Testo (PDF) — p.1

Problema 2

Problem 2

22 marks Towards a new Metallurgy from e-waste

The global market for electrical and electronic equipment continues to expand, while the lifespan of products is becoming shorter. A large amount of metals mined from earth crust are now being piled up in heaps of electronic waste (e-waste).With many of the natural metal ores being exhausted, there is a need to develop chemistry to extract metals and their compounds from e-waste. One of the most complex components in e-waste are Printed Circuit boards (PCBs). The average metallic composition of a typical PCB from a computer is 20.1% Cu, 7.2% Fe, 3.6% Al, 2.8% Zn, 2.1% Pb, 3.3% Sn, and 0.7% Ni. Apart from these, Ag or some other metals are also present in some e-waste depending on the design of the electronic components.

Consider a sample of PCB waste that contains all the above mentioned 8 metals including Ag. To extract metals, e-waste is first grinded to a powder form and then subjected to separation processes. Pieces of metallic Fe and Al, present in component casing, etc, are separated by magnetic separation and Eddy current technique, respectively. Note that these physical methods may only separate the elemental forms and not compounds or alloys of Fe and Al.

Chemical processing of the ground powder starts by dissolving in concentrated nitric acid. The reaction of metals with nitric acid varies greatly depending on the metal, its form and the concentration of the acid.

2.1 A common reaction product is NO gas. List the other possible N-containing molecules/ions that can result from reactions of nitric acid with metals.

Filtration Grinding

1. Physical Separation;
2. Dissolving in acid Circuit board Hammer Mill Further processing Metals/ Compounds Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

7 2.2 An important task for the recycler is to know the amount of HNO3 solution required for complete dissolution of the metals present in an e-waste powder. Which of the following information would be necessary to know the minimum required amount of nitric acid? (Mark X in the box (es))

a) Stoichiometric ratio of metals and their compounds and nitric acid in their reactions b) Mass percentages of various metals and their compounds present in the ground e-waste c) Density of pure metals and their compounds present in e-waste d) Atomic masses of various metals present e) Concentration of nitric acid

f) $\Delta H$ of the reactions representing formation of metal nitrates

2.3 If metallic copper reacts with 1 M HNO3, NO gas is produced.

a) Write the individual oxidation and reduction reactions indicating the electron transfer and the balanced equation for the overall reaction. b) Calculate the minimum volume of 1 M HNO3 required to completely dissolve 100 g of Cu.

In the following part, we are presenting a model procedure for separation of the components from ground PCB. 2.4 Treatment of ground PCB powder with concentrated HNO3 produces a white precipitate P1. A major fraction of P1 is due to a metal Y, which is one of the major components of solder, reacting with the acid and forming the hydrated form of its oxide liberating a brown gas. Identify Y and write the balanced chemical equation of this reaction.

The filtrate F1 obtained after removing P1 from the mixture is then mixed with dil. HCl and filtered to obtain a precipitate P2 and a filtrate F2. P2 is boiled with water for few minutes and filtered while hot to obtain filtrate F3. To a small portion of F3, addition of K2CrO4 yields a yellow precipitate, P3. 2.5 Identify the composition of P2 and P3.

P2 -

P3 - Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

8 From the filtrate F2, metals M1 (which was present in P2 but has not completely precipitated in the previous step) and M2 are precipitated out by passing H2S gas through the solution, which on filtration, gives a precipitate P4 and filtrate F4. Apart from M1 and M2, there are two more metals M3 and M4 in F2 that can be precipitated with H2S. However, the precipitation of these is governed by the pH of the solution. $K_{\text{sp}}$ values of the sulphides of these metals are: $M_1$: $1\times 10^{-28}$; $M_2$: $1\times 10^{-37}$; $M_3$: $1\times 10^{-22}$; $M_4$: $1\times 10^{-23}$

2.6 Determine the minimum [H+] required to separate M1 and M2 from M3 and M4 by passing H2S through the solution. (Assume that the precipitation is complete when the concentration of precipitated metal ion reduces to $10^{-6}$ M and the saturated concentration of H2S in water as well as in acidic solutions is $3.8{\text{g L}}^{-1}$. $M_1$, $M_2$, $M_3$ and $M_4$ are divalent in nature). Show all steps of calculations. For H2S, $K_{\text{a1}}=1.0\times 10^{-7}$, $K_{\text{a2}}=1.0\times 10^{-19}$.

The precipitate P4 is re-dissolved in 6 M HNO3 and mixed with concentrated H2SO4 and boiled. M1 precipitates then as P5 and a filtrate F5 is obtained. On passing H2S gas through filtrate F5, a black precipitate P6 is obtained.

2.7 Identify the composition of P5 and P6.

The filtrate F4 is boiled well in air to expel a gas and then NH4Cl is added followed by excess of NH4OH. During this process M5 and M6 gets precipitated as P7, which after filtration leaves filtrate, F6. The precipitate P7 after washing with water is relatively safe for disposing in soil (as its components are found in many natural soils).

2.8 Identify which gas was necessary to be expelled by boiling and the composition of precipitate P7.

P5 -

P6 - Gas -

P7 - Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

9 2.9 If excess NH4OH is added before adding NH4Cl, then two other metals M3 and M4 also get precipitated. Write the chemical reactions for precipitations for these metals.

2.10 Determine the pH of a solution prepared by adding 50 g of NH4Cl to 100 mL water followed by addition of 100 mL solution of 1 M NH4OH. ($K_{\text{b}}$ (NH4OH) $=1.8\times 10^{-5}$)

The filtrate F6 is saturated with H2S to obtain M3 and M4 as precipitate P8. The precipitate P8 on treating with dilute HCl leads to dissolution of precipitate M4 only that is separated as filtrate F7. The filtrate is neutralized using aqueous NaOH solution and on passing H2S again through the filtrate dirty white precipitate P9 is obtained.

2.11 Identify precipitates of M3 and M4 in P8.

2.12 Which of the following reagents used above is not essential for the separation of metals from ewaste in the method presented above: HNO3, HCl, NH4Cl, NH4OH, H2S, K2CrO4, NaOH.

M3 -

M4 - Indian National Chemistry Olympiad 2020

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Ethephon

A

B

Topic: Electrostatics Metodi: Physical Modeling, Dimensional Analysis Competenze: Mathematical Modeling, Physical Reasoning Fonte: Testo (PDF) — p.8

Problema 3

Problem 3

24 Marks Growth Hormones for Apples

The red colour of the peel is a key quality marker for many varieties of apples, which affects consumer preferences for the fruit in market. Several chemicals are used at different stages of apple growth to modify anthocyanin content of the fruit and hence its colour.

Ethephon (structure given) is a major agrochemical used in India which promotes fruit maturity, increases the red skin color and allows early harvest of apples. One of the routes to prepare Ethephon is by using phosphorus trichloride and 1,2-epoxyethane to give a phosphite A (C6H12Cl3O3P). A undergoes rearrangement to a phosphonate B which hydrolyses to yield Ethephon.

3.1 Give the structures of A and B.

3.2 Using the data of bond energies given below and by showing appropriate calculations, determine if the rearrangement $A\to B$ will lead to heating or cooling of the reaction mixture.

Bonds Bond dissociation energy (${\text{kJ mol}}^{-1}$) Bonds Bond dissociation energy (${\text{kJ mol}}^{-1}$) P O 335 C O 358 P=O 544 C P 264 C C 348 C Cl 338 Indian National Chemistry Olympiad 2020

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C

D

E Commercially, Ethephon is sold in about $360{\text{g L}}^{-1}$ aqueous solutions. 3.3 Determine the pH of the above Ethephon solution. For Ethephon, $\text{p}{K}_{\text{a1}}=2.82$, $\text{p}{K}_{\text{a2}}=7.21$.

.

In aqueous solutions with pH >5, Ethephon undergoes slow decomposition via two different pathways to give different products.

In pathway I, one of the decomposition products C is a natural plant hormone. C is a colourless gas at room temperature which if treated with bromine followed by treatment with NaNH2 in liquid ammonia gives a colourless gas D. In Pathway II, one of the decomposition products is a carbon containing compound E, which is toxic for liver in animals. Pure E is a viscous oily liquid at room temperature. 3.4 Draw the structures of C, D, and E.

A 0.04 M solution of Ethephon was prepared in aqueous NaOH. The solution had a pH = 7.5 at time t = 0 s. The volume of gas C evolved ($V_t$) from this solution was monitored as a function of time t at $30{}^{\circ }\text{C}$. The data obtained is presented in the graph below. Pathway I Pathway II pH > 5 Ethephon pH > 5 H2O C H2O E

1. Br2, CS2
2. NaNH2 (excess) / NH3 (liq) D Indian National Chemistry Olympiad 2020

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3.5 Using the data in the above graph, calculate the rate constant of the decomposition pathway I. Ethephon solutions for farm applications are prepared usually in carrier water (dilute solutions of sodium or calcium carbonate), which generates solutions with pH of about 7-8. 3.6 A farmer took a 200 mL bottle of $360{\text{g L}}^{-1}$ Ethephon and diluted the content in carrier water at $30{}^{\circ }\text{C}$ to obtain 200 L solution at 12:30 pm. After that he went for lunch and started spraying this solution on plants at 2:30 pm. If decomposition by pathway I was predominant during this time, by what fraction did the concentration of Ethephon drop in the spray solution due to lunch break by the farmer? $y=1.42-(1.48\times 10^{-4})x$ ${\log }_{10}(V_{\infty }-V_t)$ Indian National Chemistry Olympiad 2020

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Due to toxic effects of Ethephon by-products, there has been constant search for other plant growth regulators. Another such hormone being used is methyl jasmonate extracted from jasmine flower. It also promotes ripening, enhances the red color, and decreases the chlorophyll content in the apples. One of the routes to synthesize methyl jasmonate is detailed below. The first step involves a reaction of the following diester with a base to yield a cyclic product P. P on isolation and subsequent reaction with the given alkyl halide gives the compound Q, following the reaction sequence given below:

3.7 Draw the structures of P and Q.

3.8 The formation of P will be favoured if the solution of starting material is (Mark X in the

correct box)

i) concentrated

ii) dilute

3.9 The most suitable solvent for conversion of P to Q is (Mark X in the correct box)

(i) N,N-dimethyl formamide

(ii) ethanol

(iii) n-hexane

3.10 Q on treatment with palladium acetate and triphenyl phosphine yields a compound R and,

among other products, a gas which turns lime water milky. Draw the structure of R.

Solvent NaH, Q R

P

Q Indian National Chemistry Olympiad 2020

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Methyl jasmonate

T

U R is then converted to S.

3.11 The best reagent for converting R to S is (Mark X in the appropriate box)

a) H2 / 5% Pd - CaCO3

b) Na/C2H5OH + NH3

c) LiAlH4 / AlCl3

d) conc H2SO4

e) NaOH/H2O/ Heat

f) Pyridinium Chlorochromate/Al2O3/Hexane

3.12 T is the other stereoisomer of S. Draw the structure of T.

3.13 S on treatment with the dimethyl malonate in sodium methoxide and methanol gives the addition product U. Draw the structure of U?

3.14 U is then mixed with 1 equivalent of adipic acid and heated at $190{}^{\circ }\text{C}$ for 6 hours. At the end, excess aqueous NaHCO3 is added to the flask and shaken well. Then the aqueous portion is removed leaving behind a liquid in the flask from which the methyl jasmonate is obtained by distillation. The aqueous solution on evaporation gives sodium monomethyl adipate and NaHCO3. Draw the structure of methyl jasmonate.

3.15 Write the number of the optical stereoisomers of methyl jasmonate (such that the configuration at the unsaturated bond is same as that in S).

S R Indian National Chemistry Olympiad 2020 Roll No

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Topic: Thermodynamics Metodi: First Law of Thermodynamics, Experimental Data Analysis, Graph Linearization Competenze: Mathematical Modeling, Graph Linearization, Physical Reasoning Fonte: Testo (PDF) — p.12

Problema 4

Problem 4

13 marks Water and Heat

In this problem, we will try to estimate the impact of evaporation on temperature changes in a kitchen. Usually an important parameter related to air temperature is its relative humidity, which can be defined as Relative humidity = Amount of water vapour per unit volume of air Saturation vapour content per unit volume of air at that temperature . Saturation vapour content of air $m_{\text{sat}}$ (in g per ${\text{m}}^3$ of air) is a function of air temperature and is given by:

$m_{\text{sat}}=22+0.72(T-298)$ where T is the air temperature in K.

A kitchen has an air volume of $12.1{\text{m}}^3$ and a LPG (predominantly butane) cylinder based stove. Consider the kitchen a closed system and assume kitchen walls, door and window as adiabatic. On a day, the kitchen air had a relative humidity of 13.0%, temperature of $25{}^{\circ }\text{C}$ and a pressure of 1 atm. In a steel vessel (heat capacity: $110{\text{J K}}^{-1}$), 1.800 kg of water was kept on flame for heating. When the water just started boiling, the gas flame was turned off. During this process, the mass of gas cylinder decreased by 15.2 g. When the temperature of water is changing (during heating or cooling), the amount of water that evaporates at any given temperature is variable. For simplicity, in this situation assume that whatever water evaporates in a process, it evaporates at the middle temperature of the starting and the final temperatures of that process.

Assume the following quantities to be constant over the temperature range involved in this problem.

1. Calorific value of butane $=49.1{\text{kJ g}}^{-1}$
2. Specific Heat of Water $=4.18{\text{J g}}^{-1}{\text{K}}^{-1}$
3. Latent Heat of Evaporation of water $=42.20{\text{kJ mol}}^{-1}$
4. For air (assuming to be ideal diatomic gas), $C_p=5R/2$; $C_v=7R/2$, where R is the universal gas constant

4.1 Consider Stage 1 to be the period of heating of water till the flame was just turned off. Assume that during this stage, there was negligible change in temperature and pressure of the kitchen air. Determine the increase in relative humidity of the air at the end of this stage, if all the heat released from flame was absorbed by the water-vessel system. Indian National Chemistry Olympiad 2020 Roll No

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If you could not determine the increase in relative humidity in above question, take this value to be 50% for further questions in this problem.

4.2 Consider Stage 2 to be the period after the flame was just turned off. During this stage, the water starts cooling, which leads to heating of air. Determine the kitchen air temperature in K when the system reaches thermal equilibrium under the following two possibilities. Note: Starting point of both these possibilities is the end of Stage 1 (defined in 4.1). Indian National Chemistry Olympiad 2020 Roll No

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17 Possibility a) After switching off the flame, the water surface in the vessel was covered with a thin lid of negligible heat capacity and there was negligible air space in the container (thus assume no water evaporated during this phase). Indian National Chemistry Olympiad 2020 Roll No

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18 Possibility b) If the vessel was kept open during cooling stage (hence, the water could evaporate).

This problem shows that how important evaporation from hot foods is in controlling heating of surrounding air particularly in absence of air circulation. Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

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Topic: Thermodynamics, Kinetic Theory Metodi: First Law of Thermodynamics, Ideal Gas Law, Energy Conservation Method Competenze: Mathematical Modeling, Physical Reasoning, Estimation & Approximation Fonte: Testo (PDF) — p.17

Problema 5

Problem 5

29 marks The different forms of Solid CaCO3

CaCO3 is one of the most common minerals in living & non-living natural world. In industries, it deposits in many systems due to presence of Ca2+ in waters and CO2 in air. In all these systems, CaCO3 is found in 6 different forms: one amorphous form, two hydrated crystalline forms and three anhydrous crystalline forms (Calcite, Aragonite and Vaterite) with different physico-chemical properties. Formation and dissolution conditions of these forms are very important to understand while dealing with these systems. At STP, calcite is thermodynamically the most stable form. Calcite crystallizes in hexagonal structure. Aragonite and vaterite crystallize in orthorhombic structure. Following figures shows the unit cells of the three anhydrous crystalline forms: (Big balls indicate Ca2+ ions, small black and gray balls indicate C and O atoms, respectively.)

5.1 Density of aragonite $=2.93{\text{g cm}}^{-3}$. Calculate the densities (in ${\text{g cm}}^{-3}$) of calcite and vaterite. Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

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5.2 Determine the % change in volume in a crystalline CaCO3 sample as it undergoes the following transitions .

5.3 Based on above calculations, which anhydrous crystalline form can become more stable than calcite at higher pressures?

The three anhydrous crystalline forms have lower solubility in water than amorphous CaCO3. A plot of $\ln \text{AP}$ in solutions ($\text{AP}$ = product of activities of Ca2+(aq) and CO3${}^{2-}$(aq) in solution) that are in equilibrium with the different solid forms of CaCO3 at different temperatures is given here. A sample of water was kept with calcite till equilibrium was reached. Then the supernatant was taken out in another container and was subjected to fast evaporation along with stirring at $25^{\circ }C$ using suitable apparatus. Slow evaporation can lead to the formation of the crystalline phases before formation of amorphous phase.

5.4 After what percent reduction in water volume of the above supernatant (from calcite) at $25{}^{\circ }\text{C}$, would amorphous CaCO3 start precipitating?

i) from calcite to aragonite

ii) from aragonite to vaterite

Adapted from J. Phys.: Condens. Matter 21 (2009) 425102 (6pp) Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

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The crystalline forms under suitable temperature and pressure conditions can also directly interconvert into each other.

5.5 Calculate the change in the molar entropy of CaCO3 during the transformation of aragonite to calcite at $25{}^{\circ }\text{C}$, given that the enthalpies of formation for calcite and aragonite are $-1206.9$ and $-1207.0{\text{kJ mol}}^{-1}$, respectively (determined by calorimetry).

Though calcite is thermodynamically the most stable form of CaCO3, many natural materials (e.g. conch shells and mollusk’s shells) have predominantly aragonite form. It has been observed that the presence of cations in solution whose ionic size is larger than that of Ca2+ favour formation of aragonite phase.

5.6 Based on the above hypothesis, identify which of the following ions would facilitate the formation of aragonite phase: Mg2+, Sr2+, Pb2+, Mn2+, Fe3+

At a range of environmentally relevant temperatures ($7.5-25{}^{\circ }\text{C}$), particles of amorphous CaCO3 rapidly dehydrate and crystallize to form particles of vaterite, which slowly transforms to calcite.

$k_1$ $k_2$ Amorphous $\to$ Vaterite $\to$ Calcite Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

22 The second stage of the transformation is approximately 10 times slower than the first. The rate constant for varterite to calcite transformation ($k_2$) at $10{}^{\circ }\text{C}$ is $8.6\times 10^{-5}{\text{s}}^{-1}$. Assume no change in the solution that is in contact with the solid CaCO3 during this time scale.

5.7 Assuming amorphous to calcite transformation as a sequence of consecutive unimolecular processes, calculate the mass percentages of amorphous and vaterite forms of the total CaCO3 mass present after 30 min at $10{}^{\circ }\text{C}$. Amount of vaterite $m_V(t)$ at a particular time t is given by,

where, $k_1$ is the rate constant for the formation of vaterite from amorphous form and $m_A(t)$ is the amount of amorphous form at time t.

5.8 If 1 kg of amorphous CaCO3 had precipitated at t = 0, calculate (i) the time in which the maximum amount of vaterite would be observed, and (ii) the mass of this maximum amount of vaterite.

$m_V(t)=\frac{k_1}{k_2-k_1}\left(e^{-k_{1}t}-e^{-k_{2}t}\right)m_A(0)$

Dissolution of calcium carbonate

Scales of CaCO3 are found in heated water boilers and pipelines. The hardest ones are due to calcite and aragonite forms. These can be removed by mechanically scrapping or chemically dissolving using acids and chelating agents such as EDTA (represented here as ${\text{H}}_m{\text{Y}}^{x-}$, $m=0\text{-}4$, $x=4\text{-}0$). The pH dependence of the initial rate of calcite dissolution in solutions of different pH (prepared using HCl, water and NaOH) in inert atmosphere and under stirring conditions is shown below.

Adapted from Chemical Geology, 42 (1984) 119—136

5.9 Identify whether each of the following statements can be inferred / cannot be inferred about dissolution of calcite from the above graph (Mark X in the appropriate box).

Yes No (i) There is no dissolution of calcite in solutions with pH > 5.3.

(ii) Dissolution of calcite follows an overall zero order kinetics at pH > 5.3.

(iii) Dissolution of calcite follows an overall first order kinetics below pH = 4.0.

(iv) Dissolution of calcite follows a second order kinetics with respect to [H+] in the pH range 4.0 – 5.0.

(v) Dissolution of calcite becomes faster with increasing solution pH.

(vi) H2O also has a dissolution pathway for calcite independent of H+.

The following graph shows the effect of EDTA and pH on initial rates of calcite dissolution with respect to the stirring rate (rotating speed) in inert atmosphere. The pH of the EDTA and KCl solutions were adjusted using HCl (aq.) and NaOH (aq.). Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

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Consider $r_Z$, the initial rate of dissolution per unit surface area of calcite due to dissolving species Z with initial concentration [Z] in the solution, to be given by $r_Z=k_Z[Z]$ where $k_Z$ is the rate constant of the dissolution reaction due to species Z. The pKa values of EDTA are 2.0, 2.7, 6.2 and 10.3, respectively. Assume that (i) the predominant species dissolving calcite in the given solutions are H+(aq) and $HmYx-(aq$) (m = 0 4, x = 4 0). (ii) the rates of dissolution due to multiple species in a given system are additive. (iii) at the given pH values, the predominant species of EDTA is present as almost 100% of the total EDTA concentration.

5.10 Determine the ratios of rate constants of dissolution due to $H2Y2-(aq$), $Y4-(aq$) and H+(aq) by considering the appropriate rates of dissolution at the rotating speed of 100 $s-1$.

Adapted from Journal of Colloid and Interface Science 204(1998), 187–197. 4 Indian National Chemistry Olympiad 2020 Roll No ©HBCSE, February 1, 2020

25 5.11 The following table has some statements related to the different forms and dissolution kinetics of CaCO3. Choose the correct option for each pair of statements (from i - iv given below and mark X in the box): i. Statement A is correct and Statement B is wrong ii. Statement A is wrong and Statement B is correct iii. Both Statements A and B are correct and B is the reason for A iv. Both Statements A and B are correct and B is not the reason for A

i ii iii iv a. Statement A: The transformation of aragonite to calcit

Topic: Thermodynamics Metodi: First Law of Thermodynamics, Experimental Data Analysis, Differential Equations Competenze: Mathematical Modeling, Physical Reasoning, Graph Linearization Fonte: Testo (PDF) — p.21

Problema 6

Problem 6

15 Marks Derivatizing Eugenol

Eugenol (A) is a compound present in cloves, tulsi, and many other plants. It is used to darken the colour of natural henna on skin. It is used in foods, cosmetics and pharmaceuticals as antimicrobial, analgesic and antioxidant.

Eugenol can be easily converted to 1-allyl-3,4-dimethoxybenzene (B).

6.1 From the following sets of reagents, identify which can be used for this conversion of A to B. (Mark X in the correct box/es)

(a) CH3I/K2CO3

(b) (CH3)2SO4/KOH

(c) CH3I/H2SO4 (d) Me2SO/KOH

(e) Me2S/H2SO4

Several derivatives of Eugenol have been studied and have been found to have useful pharmaceutical properties. Here we will look at methods of obtaining two such derivatives. Compound B can be oxidized with molar equivalent amounts of OsO4 in aqueous medium to yield C. However, toxicity and high cost of OsO4 prevents its wider use despite high yield and selectivity. An different pathway was developed by an American chemist Barry Sharpless for the same transformation. This method uses fractional molar equivalents of OsO4 (relative to the olefin) along with a few other reagents, listed on the arrow below.

The mixture is slightly turbid due to presence of small amount of non-aqueous phase in the system. A generic mechanism of this reaction is given below. L is a species which coordinates with the Os center facilitating the reaction, and X and Y are two other species in the reaction mixture.

B A K3Fe(CN)6 (6 mmol) OsO 4 (0.02 mmol) K2CO3 (6 mmol) tert -Butanol (5 mL) H2O (5 mL) Pyridine (0.04 mmol) B (2 mmol) Indian National Chemistry Olympiad 2020

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6.2 i) Draw the structure of product C.

ii) The overall reaction B C can be classified as (Mark X in the appropriate box(es)): a) redox reaction

b) addition reaction

c) hydrolysis reaction

d) acid base reaction

iii) List the species (both ionic and non-ionic) that will exist in the reaction flask at the end of reaction, other than the following: H2O, H+, OH , product C

C Indian National Chemistry Olympiad 2020

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28 When the product C is treated with p-toluene sulfonyl chloride using the following procedure, a monoester D is produced as the single main product.

Step I: To a solution of compound C (1 mmol) in pyridine (2 mL), p-toluenesulfonyl chloride (TsCl, 1.1 mmol) was added at 0oC. The reaction mixture was stirred at 0oC (for about 20-30 min) till the compound C was no more detected (using chromatography).

Step II: Water (10 mL) was added to the reaction mixture followed by diethyl ether (5 mL), which led to formation of two layers in the reaction flask.

Step III: The ether layer was separated using a separating funnel. This ether solution was treated multiple times with 5% aq HCl (10 mL), followed by removal of the acidic layer.

Step IV: Finally, the ether layer was washed with 10% NaHCO3 (aq) and then treated with anhydrous sodium sulphate (to remove water from the solution). The solvent was evaporated to produce D as the single product.

6.3 Write the structure of D.

6.4 Which compound(s) were removed from the organic layer by using (i) water and (ii) HCl solution?

TsCl (1.1 mmol), Pyridine (2 mL) 0 oC D (i) (ii) Indian National Chemistry Olympiad 2020

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29 However, while carrying out the above procedure, a chemist forgot to treat the mixture with water in Step II and proceeded by adding diethyl ether, and then followed by Steps III and IV. The chemist identified two compounds E & F in the ether medium.

6.5 Identify E & F

When compound D is treated with solid K2CO3, compound G is formed.

6.6 Draw the structure of compound G.

E F D K2CO3 G HBCSE, February 1, 2020

Rough Page HBCSE, February 1, 2020

Rough Page HBCSE, February 1, 2020

Rough Page

Topic: Special Relativity Metodi: Physical Modeling Competenze: Physical Reasoning, Diagrammatic Reasoning Fonte: Testo (PDF) — p.28