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An ideal gas goes from \(A\) to \(B\) via two processes, \(\mathrm{I}\) and \(\mathrm{II},\) as shown. If \(\Delta U_1\) and \(\Delta U_2\) are the changes in internal energies in processes \(\mathrm{I}\) and \(\mathrm{II},\) respectively, (\(P:\) pressure, \(V:\) volume) then:

   

1. \(∆U_1 > ∆U_2\) 2. \(∆U_1 < ∆U_2\)
3. \(∆U_1 = ∆U_2\) 4. \(∆U_1 \leq ∆U_2\)

Subtopic:  Molar Specific Heat |
 89%
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The pressure-temperature \((P\text-T)\) graph for two processes, \(A\) and \(B,\) in a system is shown in the figure. If \(W_1\) and \(W_2\) are work done by the gas in process \(A\) and \(B\) respectively, then:

      

1. \(W_{1}=W_2\) 2. \(W_{1}<W_2\)
3. \(W_{1}>W_2\) 4. \(W_{1}= - W_2\)
Subtopic:  Work Done by a Gas |
 72%
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Which of the following reactions has the least difference between the change in enthalpy (∆H) and the change in internal energy (∆E) at a given temperature?

1. \(2 \mathrm{SO}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{SO}_3(\mathrm{~g})\)
2. \(\mathrm{CaCO}_3(s) \rightarrow \mathrm{CaO}(s)+\mathrm{CO}_2(g)\)
3. \(\mathrm{NH}_4 \mathrm{SH} (s) ~~\rightarrow ~\mathrm{NH}_3(g)+\mathrm{H}_2 \mathrm{~S}(g)\)
4. \(2 \mathrm{NH}_3 (g) ~\rightarrow ~\mathrm{N}_2(g)+3 \mathrm{H}_2(g)\)

Subtopic:  Enthalpy & Internal energy |
 79%
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A system that can neither exchange matter nor energy with the surroundings is classified as:

1. Open system

2. Isolated system

3. Closed system

4. Both (1) & (2)

Subtopic:  Classification of System, Extensive & Intensive Properties |
 91%
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Heat is supplied to a diatomic gas in an isochoric process. The ratio \(\Delta Q:\Delta U\) is: (symbols have usual meanings)
1. \(5:3\)
2. \(5:2\)
3. \(1:1\)
4. \(5:7\)

Subtopic:  First Law of Thermodynamics |
 71%
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If an ideal gas undergoes two processes at constant volumes \(V_1~\text{and}~V_2\) as shown in the pressure-temperature \((P\text-T)\) diagram, then:

             
1. \(V_1= V_2\)
2. \(V_1> V_2\)
3. \(V_1< V_2\)
4. \(V_1\ge V_2\)

Subtopic:  Types of Processes |
 82%
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\(0.04\) mole of an ideal monatomic gas is allowed to expand adiabatically so that its temperature changes from \(800~\text{K}\) to \(500~\text{K}.\) The work done during expansion is nearly equal to:

            

1. \(129.6~\text J\) 2. \(-129.6~\text J\)
3. \(149.6~\text J\) 4. \(-149.6~\text J\)
Subtopic:  Work Done by a Gas |
 59%
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The standard enthalpies of the formation of  NO2(g) and N2O4(g) are 8 kcal mol–1 and 2 kcal mol–1 respectively. The heat of dimerization of NO2 in the gaseous state is: 

1. 10 k cal mol–1 2. 6.0 k cal mol–1
3. –14 k cal mol–1 4. –6.0 k cal mol–1
Subtopic:  Thermochemistry |
 69%
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Work done during the given cycle is:
                               
1. 4P0V0

2. 2P0V0

3. 12P0V0

4. P0V0

Subtopic:  Work Done by a Gas |
 81%
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Calculate the Gibbs energy change when 1 mole of NaCl is dissolved in water at 298 K. Given,

a. Lattice energy of NaCl = 778 kJ mol-1

b. Hydration energy of NaCl =-774.3 kJ mol-1

c. Entropy change at 298 K = 43 JK-1 mol-1

1. -3.7 kJ 2. -9.1 kJ
3. -43 kJ 4. -13.14 kJ
Subtopic:  Thermochemistry |
 73%
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