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Q. No.The ratio of molar specific heat capacity at constant pressure (\(C_p\)) to that at constant volume (\(C_v\)) varies with temperature (\(T\)) as: (assume temperature is low)
1. \(T^0\)
2. \(T^{\frac{1}{2}}\)
3. \(T^1\)
4. \(T^{\frac{3}{2}}\)
Subtopic: Molar Specific Heat |
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The heat taken by the gas in process \(a\) to \(b\) is \(6P_{0}V_{0}.\) Match Column I with Column II.
Choose the correct option:
| Column I | Column II | ||
| A. | \(W_{ab}\) | P. | \(1.5R\) |
| B. | \(\Delta U_{ab}\) | Q. | \(\dfrac {3P_0V_0}{2}\) |
| C. | molar heat capacity in the given process | R. | \(\dfrac {9P_0V_0}{2}\) |
| D. | \(C_{V}\) for the gas | S. | \(2R\) |
| 1. | A → P, B → Q, C → S, D → R |
| 2. | A → R, B → Q, C → S, D → P |
| 3. | A → Q, B → R, C → P, D → S |
| 4. | A → Q, B → R, C → S, D → P |
Subtopic: Types of Processes |
62%
From NCERT
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Given below are two statements:
| Statement-I: | When \(\mu\) amount of an ideal gas undergoes adiabatic change from state \(\left(\mathrm{P}_1, \mathrm{~V}_1, \mathrm{~T}_1\right)\) to state \(\left(\mathrm{P}_2, \mathrm{~V}_2, \mathrm{~T}_2 \right)\), the work done is, \(\mathrm{W}=\frac{\mu{R}\left(\mathrm{T}_2-\mathrm{T}_1\right)}{1-\gamma}\), where \(\gamma=\frac{C_P}{C_v}\) and R = universal gas constant, |
| Statement-II: | In the above case, when work is done on the gas, the temperature of the gas would rise. |
| 1. | Both statement-I and statement-II are true. |
| 2. | Both statement-I and statement-II are false. |
| 3. | Statement-I is true but statement-II is false. |
| 4. | Statement-I is false but statement-II is true. |
Subtopic: Types of Processes |
72%
From NCERT
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Given below are two statements:
| Assertion (A): | Reversible systems are difficult to find in the real world. |
| Reason (R): | Most processes are dissipative in nature. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
Subtopic: Second Law of Thermodynamics |
80%
From NCERT
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Given below are two statements:
| Assertion (A): | It is possible that the temperature of a gas may fall even as it is being heated. |
| Reason (R): | The specific heat capacity of a gas changes from process to process. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: First Law of Thermodynamics |
From NCERT
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Given below are two statements:
| Statement I: | The efficiency of any thermodynamic engine can approach \(100\%\) if friction and all dissipative processes are reduced. |
| Statement II: | The first law of thermodynamics is applicable only to non-living systems. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Second Law of Thermodynamics |
53%
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Given below are two statements:
| Assertion (A): | In an isothermal process, whole of the heat energy supplied to the body is converted into internal energy. |
| Reason (R): | According to the first law of thermodynamics, \(\Delta Q = \Delta U + \Delta W \). |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Types of Processes |
79%
From NCERT
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We consider a thermodynamic system. If \(\Delta U\) represents the increase in its internal energy and \(W\) the work done by the system, which of the following statements is true?
| 1. | \(\Delta {U}=-{W}\) in an isothermal process. |
| 2. | \(\Delta {U}={W}\) in an isothermal process. |
| 3. | \(\Delta {U}=-{W}\) in an adiabatic process. |
| 4. | \(\Delta {U}={W}\) in an adiabatic process. |
Subtopic: First Law of Thermodynamics |
83%
From NCERT
AIPMT - 1998
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If a gas changes volume from 2 litres to 10 litres at a constant temperature of 300K, then the change in its internal energy will be:
| 1. | 12 J | 2. | 24 J |
| 3. | 36 J | 4. | 0 J |
Subtopic: Molar Specific Heat |
85%
From NCERT
AIPMT - 1998
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An ideal gas heat engine operates in a Carnot cycle between 227ºC and 127ºC. It absorbs 6 × 104 cals of heat at higher temperatures.
The amount of heat converted to work will be?
1. 4.8 × 104 cals
2. 2.4 × 104 cals
3. 1.2 × 104 cals
4. 6 × 104 cals
Subtopic: Carnot Engine |
73%
From NCERT
AIPMT - 2005
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