Consider the following two statements.
(A): | If heat is added to a system, its temperature must increase. |
(B): | If positive work is done by a system in a thermodynamic process, its volume must increase. |
1. | Both A and B are correct. |
2. | A is correct but B is wrong. |
3. | B is correct but A is wrong. |
4. | Both A and B are wrong. |
Figure shows P-T diagram for given mass of an ideal gas for the process A→B. During this process, density of the gas is
1. Decreasing
2. Increasing
3. Constant
4. First decreasing then increasing
Statement I: | Molar heat capacity at constant pressure for all diatomic gases is the same. |
Statement II: | The specific heat capacity at constant pressure of all diatomic ideal gases is the same. |
1. | only (I) is correct |
2. | only (II) is correct |
3. | both (I) and (II) are correct |
4. | none of them are correct |
Match the thermodynamic processes taking place in a system with the correct conditions. In the table, Q is the heat supplied, W is the work done and U is the change in internal energy of the system.
Process | Condition | ||
(I) | Adiabatic | (A) | \(\Delta W=0\) |
(II) | Isothermal | (B) | \(\Delta Q=0\) |
(III) | Isochoric | (C) | \(\Delta U\neq0, \Delta W\neq0,\Delta Q\neq0\) |
(IV) | Isobaric | (D) | \(\Delta U=0\) |
1. | (I) – (B), (II) – (A), (III) – (D), (IV) – (C) |
2. | (I) – (A), (II) – (A), (III) – (B), (IV) – (C) |
3. | (I) – (A), (II) – (B), (III) – (D), (IV) – (D) |
4. | (I) – (B), (II) – (D), (III) – (A), (IV) – (C) |
1. | The change in internal energy in the process \(BC\) is \(-500R.\) |
2. | The change in internal energy in the whole cyclic process is \(250R.\) |
3. | The change in internal energy in the process \(CA\) is \(700R.\) |
4. | The change in internal energy in the process \(AB\) is \(-350R.\) |
1. | The magnitude of the work done by the gas is \(RT_{0}\ln 2\). |
2. | Work done by the gas is \(V_{0}T_{0}.\) |
3. | Net work done by the gas is zero. |
4. | Work done by the gas is \(2RT_{0}\ln2\). |
Assertion (A): | If the efficiency of the engine is \(\frac1n,\) then the coefficient of performance of the reversed cycle working as a refrigerator is \(n-1\). |
Reason (R): | \(1-\frac{T_{\text{low}}}{T_{\text{high}}},\) while the coefficient of performance of the reversed cycle is \(\frac{T_{\text{low}}}{T_{\text{high}~-~T_{\text{low}}}}\). | The efficiency of Carnot's cycle is
1. | (A) is true but (R) is false. |
2. | (A) is false but (R) is true. |
3. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
1. | \(4\) | 2. | \(1\) |
3. | \(2\) | 4. | \(3\) |
Assertion (A): | It is not possible for a system, unaided by an external agency to transfer heat from a body at a lower temperature to another at a higher temperature. |
Reason (R): | It is not possible to violate the second law of thermodynamics. |
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. |
Statement (A): | Heat is not a state function. |
Statement (B): | Heat supplied to a system is a path function. |
1. | Both statements (A) and (B) are true. |
2. | Both statements (A) and (B) are false. |
3. | Only statement (A) is true. |
4. | Only statement (B) is true. |