- 1(current)
Q. No.| List -I (Isothermal Process) |
List-II (work done) \((V_f>V_i)\) |
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| P. | Reversible expansion | 1. | \(w=0\) |
| Q. | Free expansion | 2. | \(w=-n R T \ln \frac{V_f}{V_i}\) |
| R. | Irreversible expansion | 3. | \(w=-\mathrm{P}_{\mathrm{ext}}\left(\mathrm{~V}_{\mathrm{f}}-\mathrm{V}_{\mathrm{i}}\right)\) |
| S. | Irreversible Compression |
4. | \(\mathrm{w}=-\mathrm{P}_{\mathrm{ext}}\left(\mathrm{~V}_{\mathrm{i}}-\mathrm{V}_{\mathrm{f}}\right)\) |
Select the correct match:
| P | Q | R | S | |
| 1. | 4 | 3 | 2 | 1 |
| 2. | 2 | 1 | 3 | 4 |
| 3. | 1 | 2 | 3 | 4 |
| 4. | 3 | 4 | 1 | 2 |
Subtopic: Thermodynamics' Properties and process |
95%
Level 1: 80%+
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For an ideal gas volume is made 8 times and temperature is decreased 4 times, and heat exchanged during process is zero (q=0), select the correct gas:
1. \(CH_4\)
2. \(He\)
3. \(CO_2\)
4. \(NH_3\)
1. \(CH_4\)
2. \(He\)
3. \(CO_2\)
4. \(NH_3\)
Subtopic: Thermodynamics' Properties and process |
81%
Level 1: 80%+
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| List-I | List-II (KJ) |
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| (I) | Isothermal reversible (1mole ideal gas, T = 300K, \(\mathrm{2dm^3}\) to \(\mathrm{20dm^3 ) }\) calculate |w| | (A) | 8.32 |
| (II) | Isothermal irreversible \(\mathrm{[3KPa, 1m^3 ~\text{to} ~3m^3 ]}\) calculate |w| | (B) | 6 |
| (III) | 1 mole gas undergoes constant pressure process in which change in temperature is 400K, Cp = 5R/2, calculate \(\mathrm{\Delta H}\) | (C) | 4 |
| (IV) | 1 mole ideal gas having Cv=3R/2 and \(\mathrm{\Delta T}\) = 320K, calculate \(\mathrm{\Delta U}\) | (D) | 5.74 |
Select the correct match
1. I-A: II-B: III-D: IV-C
2. I-D: II-B: III-A: IV-C
3. I-B: II-A: III-C: IV-D
4. I-A: II-B: III-C: IV-D
Subtopic: Thermodynamics' Properties and process | Enthalpy & Internal energy |
91%
Level 1: 80%+
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For the following change:
\(\begin{aligned} & \mathrm{H}_2 \mathrm{O}(\ell) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{~g}) \\ & 5^{\circ} \mathrm{C} \quad 100^{\circ} \mathrm{C} \end{aligned}\)
Choose the correct answer:
1. \( \mathrm{q}=+\mathrm{ve}, \mathrm{w}=+\mathrm{ve}, \Delta \mathrm{U}=+\mathrm{ve} \)
2. \( \mathrm{q}=-\mathrm{ve}, \mathrm{w}=-\mathrm{ve}, \Delta \mathrm{U}=+\mathrm{ve} \)
3. \(\mathrm{q}=+\mathrm{ve}, \mathrm{w}=-\mathrm{ve}, \Delta \mathrm{U}=+\mathrm{ve} \)
4. \( \mathrm{q}=-\mathrm{ve}, \mathrm{w}=-\mathrm{ve}, \Delta \mathrm{U}=-\mathrm{ve}\)
\(\begin{aligned} & \mathrm{H}_2 \mathrm{O}(\ell) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{~g}) \\ & 5^{\circ} \mathrm{C} \quad 100^{\circ} \mathrm{C} \end{aligned}\)
Choose the correct answer:
1. \( \mathrm{q}=+\mathrm{ve}, \mathrm{w}=+\mathrm{ve}, \Delta \mathrm{U}=+\mathrm{ve} \)
2. \( \mathrm{q}=-\mathrm{ve}, \mathrm{w}=-\mathrm{ve}, \Delta \mathrm{U}=+\mathrm{ve} \)
3. \(\mathrm{q}=+\mathrm{ve}, \mathrm{w}=-\mathrm{ve}, \Delta \mathrm{U}=+\mathrm{ve} \)
4. \( \mathrm{q}=-\mathrm{ve}, \mathrm{w}=-\mathrm{ve}, \Delta \mathrm{U}=-\mathrm{ve}\)
Subtopic: Thermodynamics' Properties and process | First Law of Thermodynamics |
65%
Level 2: 60%+
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Standard entropies of X2, Y2 and XY5 are 70, 50 and 110 JK–1mol–1 respectively. The temperature in Kelvin at which the given reaction will be at equilibrium is:
\(\frac{1}{2} \mathrm{X}_2+\frac{5}{2} \mathrm{Y}_2 \rightarrow \mathrm{XY}_5,~ \Delta \mathrm{H}=-35 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
1. 300
2. 400
3. 600
4. 700
\(\frac{1}{2} \mathrm{X}_2+\frac{5}{2} \mathrm{Y}_2 \rightarrow \mathrm{XY}_5,~ \Delta \mathrm{H}=-35 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
1. 300
2. 400
3. 600
4. 700
Subtopic: Thermodynamics' Properties and process | Spontaneity & Entropy | Gibbs Energy Change |
78%
Level 2: 60%+
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An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path \(\mathrm{A} \rightarrow \mathrm{~B} \rightarrow \mathrm{C} \rightarrow \mathrm{D} \rightarrow \mathrm{~A}\) as shown in the three cases below:
Choose the correct option regarding change in internal energy, \(\Delta \mathrm{U} \):
1. \(\Delta \mathrm{U}\) (Case-III) > \(\Delta \mathrm{U}\) (Case-II) > \(\Delta \mathrm{U}\) (Case-I)
2. \(\Delta \mathrm{U}\) (Case-I) > \(\Delta \mathrm{U}\) (Case-II) > \(\Delta \mathrm{U}\) (Case-III)
3. \(\Delta \mathrm{U}\) (Case-I) > \(\Delta \mathrm{U}\) (Case-III) > \(\Delta \mathrm{U}\) (Case-II)
4. \(\Delta \mathrm{U}\) (Case-I) = \(\Delta \mathrm{U}\) (Case-II) = \(\Delta \mathrm{U}\) (Case-III)
Choose the correct option regarding change in internal energy, \(\Delta \mathrm{U} \):
1. \(\Delta \mathrm{U}\) (Case-III) > \(\Delta \mathrm{U}\) (Case-II) > \(\Delta \mathrm{U}\) (Case-I)
2. \(\Delta \mathrm{U}\) (Case-I) > \(\Delta \mathrm{U}\) (Case-II) > \(\Delta \mathrm{U}\) (Case-III)
3. \(\Delta \mathrm{U}\) (Case-I) > \(\Delta \mathrm{U}\) (Case-III) > \(\Delta \mathrm{U}\) (Case-II)
4. \(\Delta \mathrm{U}\) (Case-I) = \(\Delta \mathrm{U}\) (Case-II) = \(\Delta \mathrm{U}\) (Case-III)
Subtopic: Thermodynamics' Properties and process |
81%
Level 1: 80%+
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In an adiabatic process, the magnitude of work done in the case of one step & infinite steps follows the order:
1. \(\left|\mathrm{W}_{\text {rev }}\right|_{\text {expansion }}>\left|\mathrm{W}_{\text {Irrev }}\right|_{\text {expansion }}\)
2. \(\left|\mathrm{W}_{\text {rev }}\right|_{\text {expansion }}<\left|\mathrm{W}_{\text {Irrev }}\right|_{\text {expansion }}\)
3. \(\left|\mathrm{W}_{\text {rev }}\right|_{\text {expansion }}=\left|\mathrm{W}_{\text {Irrev }}\right|_{\text {expansion }}\)
4. Can't be predicted
1. \(\left|\mathrm{W}_{\text {rev }}\right|_{\text {expansion }}>\left|\mathrm{W}_{\text {Irrev }}\right|_{\text {expansion }}\)
2. \(\left|\mathrm{W}_{\text {rev }}\right|_{\text {expansion }}<\left|\mathrm{W}_{\text {Irrev }}\right|_{\text {expansion }}\)
3. \(\left|\mathrm{W}_{\text {rev }}\right|_{\text {expansion }}=\left|\mathrm{W}_{\text {Irrev }}\right|_{\text {expansion }}\)
4. Can't be predicted
Subtopic: Thermodynamics' Properties and process |
67%
Level 2: 60%+
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Subtopic: Thermodynamics' Properties and process |
78%
Level 2: 60%+
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Match List-I with List-II:
Choose the correct answer from the options given below:
1. (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
2. (A)-(II), (B)-(III), (C)-(IV), (D)-(I)
3. (A)-(II), (B)-(III), (C)-(I), (D)-(IV)
4. (A)-(II), (B)-(I), (C)-(III), (D)-(IV)
| List-I | List-II | ||
| (A) | Spontaneous process | (I) | \(\mathrm{\Delta H<0}\) |
| (B) | Process with \(\mathrm{\Delta P=0,} \mathrm{\Delta T=0}\) | (II) | \(\mathrm{\Delta G_{T,P}<0}\) |
| (C) | \(\mathrm{\Delta H_{reaction}}\) | (III) | Isothermal and Isobaric processes |
| (D) | Exothermic Process | (IV) | [Bond energies of molecules in reactants] – [Bond energies of product molecules ] |
Choose the correct answer from the options given below:
1. (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
2. (A)-(II), (B)-(III), (C)-(IV), (D)-(I)
3. (A)-(II), (B)-(III), (C)-(I), (D)-(IV)
4. (A)-(II), (B)-(I), (C)-(III), (D)-(IV)
Subtopic: Thermodynamics' Properties and process |
85%
Level 1: 80%+
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The magnitude of work done by a gas during a reversible expansion along the path ABC, as shown in the figure, is:
| 1. | 44 Nm | 2. | 46 Nm |
| 3. | 48 Nm | 4. | 50 Nm |
Subtopic: Thermodynamics' Properties and process | First Law of Thermodynamics |
83%
Level 1: 80%+
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- 1(current)
Q. No.
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