Match the process name given in Column-I with the corresponding data in Column-II and mark the appropriate option. 
Column-I Column-II
(A) Exothermic (i) \(\Delta H= 0 , \Delta U =0\)
(B) Spontaneous (ii) \(\Delta G=0~\)
(C) Cyclic process (iii) \(\Delta H\) is negative
(D) Equilibrium (iv) \(\Delta G\) is negative 

1. (A) →(ii), (B)→(iii), (C) →(i), (D)→ (iv)
2. (A) →(iv), (B)→(i), (C) →(iii), (D)→ (ii)
3. (A) →(i), (B)→(ii), (C) →(iv), (D)→ (iii)
4. (A) →(iii), (B)→(iv), (C) →(i), (D)→ (ii)

Subtopic:  Thermodynamics' Properties and process | Spontaneity & Entropy |
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Five moles of an ideal gas at 1 bar and 298 K undergo free expansion (expansion into vacuum) such that its volume becomes double. Calculate the work done during the process:

1. \( \mathrm{C}_{\mathrm{V}}\left(\mathrm{T}_2-\mathrm{T}_1\right)\)
2. \( \text {-RT }\left(\mathrm{V}_2-\mathrm{V}_1\right) \)
3. \( \text {-RT } \ln \mathrm({V}_1 / \mathrm{V}_2 )\)
4. Zero
Subtopic:  First Law of Thermodynamics | Enthalpy & Internal energy |
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Identify the intensive quantities/properties from the following:
(a) Enthalpy (b) Temperature
(c) Volume (d) Refractive Index

1. (a), (b) and (c) 
2. (b) and (d) 
3. (d) and (a) 
4. None of the above
Subtopic:  Classification of System, Extensive & Intensive Properties |
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Consider the data in the table given below and choose the correct answer:
(i) \(\mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{l})\)
                                 \(\Delta \mathrm{H}^{\circ}{ }_{298 \mathrm{~K}}=-285.9 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
(ii) \( \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{~g}) \)
                                \( \Delta \mathrm{H}^{\circ}{ }_{298 \mathrm{~K}}=-241.8 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
The molar enthalpy of vapourisation of water will be:
1. \(\mathrm{74.8~kJ} \mathrm{mol}^{-1}\)
2. \(\mathrm{22.0~kJ} \mathrm{mol}^{-1}\)
3. \(\mathrm{44.1~kJ} \mathrm{mol}^{-1}\)
4. \(\mathrm{52.7kJ} \mathrm{mol}^{-1}\)
Subtopic:  Enthalpy & Internal energy |
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What is the boiling point of the liquid at 1 atm if the enthalpy of vaporization of a liquid is 30 \(\mathrm{kJ} \mathrm{mol}^{-1}\) and entropy of vaporization is 75 \( \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\)?

1. 250 \(K\)
2. 400 \(K\)
3. 450 \(K\)
4. 600 \(K\)
Subtopic:  Spontaneity & Entropy |
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Match the reaction given in column I with appropriate options in column II
Column-I
(Reaction)
 Column-II
(Characteristics/
Property)
(A)  \( \mathrm{CO}_2(\mathrm{~s}) \rightarrow \mathrm{CO}_2(\mathrm{~g}) \) (p) Phase transition
(B)  \(\small\mathrm{CaCO}_3(\mathrm{~s}) \rightarrow \mathrm{CaO}(\mathrm{s})+\mathrm{CO}_2(\mathrm{~g})\) (q) Allotropic change
(C)  \( 2 \mathrm{H}^* \rightarrow \mathrm{H}_2(\mathrm{~g}) \) (r) \(\Delta H\) is positive
(D)  \( \mathrm{P}_{\text {(white, solid) }} \rightarrow \mathrm{P}_{\text {(red, solid) }} \) (s) \(\Delta S\) is positive
(t) \(\Delta S\) is negative

1. A-(r, t), B-(p, q, s), C-(p, q, s), D-(p, q, s, t)
2. A-(p, r, s), B-(r, s), C-(t), D-(p, q, t)
3. A-(r, t), B-(p, q,), C-(p, s), D-(p, t)
4. A-(r), B-(s), C-(p), D-(p, q, s, t)
Subtopic:  Enthalpy & Internal energy | Spontaneity & Entropy |
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The temperature at which the given reaction is in equilibrium is:
\(\mathrm{X_{(g)} +3Y_{(g)} \rightleftharpoons 2Z_{(g)} ; \Delta H= -40~ kJ ~mol^{-1}}~\)
(The standard entropies of X, Y, and Z are 60, 40, and 50 J K–1 mol–1, respectively.) 

1. 273 K 
2. 600 K 
3. 500 K 
4. 400 K 
Subtopic:  2nd & 3rd Law of Thermodynamics |
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Match Column-I with Column-II and mark the appropriate choice:
Column-I Column-II
(A) State Function (i) At constant pressure
(B) \(\Delta H = q\) (ii) Specific heat
(C) \(\Delta U = q\) (iii) Entropy
(D) Intensive property (iv) At constant volume 

1. (A) →(iii), (B)→(i), (C) →(iv), (D)→ (ii)
2. (A) →(ii), (B)→(iv), (C) →(i), (D)→ (iii)
3. (A) →(ii), (B)→(iv), (C) →(iii), (D)→ (i)
4. (A) →(iii), (B)→(ii), (C) →(i), (D)→ (iv)
Subtopic:  Enthalpy & Internal energy | Classification of System, Extensive & Intensive Properties |
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What is the enthalpy change (ΔH) for the reaction represented by the equation, \(\mathrm{OF_2 + H_2O \rightarrow O_2+2HF?}\)
[Given the bond energies of \(\mathrm{O-F, O-H, H-F}\) \(\mathrm {and~O=O}\) as 44, 111, 135, and 119 kcal mol–1, respectively]
 
1. –222 kcal  2. –88 kcal 
3. –111 kcal 4. –79 kcal 
Subtopic:  Thermochemistry |
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Match Column I (Reactions) with Column II (Enthalpy) and mark the appropriate choice:
 
Column I (Reactions) Column II (Enthalpy)
(A) \(\small{CH_{4(g)} + 2O_{2(g)} \rightarrow CO_{2(g)} + 2H_2O}\) (i) \(\Delta _{sol}H^o\)
(B) \( H_{2(g)} \rightarrow 2H_{(g)}\) (ii) \(\Delta _{lattice}H^o\)
(C) \(NaCl_{(s)} \rightarrow Na^+_{(g)} + Cl^-_{(g)} \) (iii) \(\Delta _{c}H^o\)
(D) \(NaCl_{(s)} \rightarrow Na^+_{(aq)} + Cl^-_{(aq)} \) (iv) \(\Delta _{bond}H^o\)

1. (A) →(iv), (B)→(iii), (C) →(i), (D)→ (ii)
2. (A) →(ii), (B)→(i), (C) →(iv), (D)→ (iii)
3. (A) →(i), (B)→(ii), (C) →(iii), (D)→ (iv)
4. (A) →(iii), (B)→(iv), (C) →(ii), (D)→ (i)
Subtopic:  Thermochemistry |
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