In a cyclic process, the internal energy of the gas:
| 1. | increases | 2. | decreases |
| 3. | remains constant | 4. | becomes zero |
The efficiency of Carnot's engine operating between reservoirs, maintained at temperatures 27°C and –123°C, is
(1) 50%
(2) 24%
(3) 0.75%
(4) 0.4%
When an ideal gas (γ = 5/3) is heated under constant pressure, then what percentage of given heat energy will be utilised in doing external work ?
1. 40 %
2. 30 %
3. 60 %
4. 20 %
An ideal monoatomic gas expands in such a manner that its pressure and volume can be related by equation \(PV^{5/3}=\text{constant}.\) During this process, the gas is:
1. Heated
2. Cooled
3. Neither heated nor cooled
4. First heated and then cooled
Which of the following graphs correctly represents the variation of with P for an ideal gas at constant temperature ?
(1)
(2)
(3)
(4)
A cyclic process for \(1\) mole of an ideal gas is shown in the \(V\text-T\) diagram. The work done in \(AB, BC\) and \(CA\) respectively is:

| 1. | \(0, R T_2 \ln \left(\frac{V_1}{V_2}\right), R\left(T_1-T_2\right)\) |
| 2. | \(R\left(T_1-T_2\right), 0, R T_1 \ln \frac{V_1}{V_2}\) |
| 3. | \(0, R T_2 \ln \left(\frac{V_2}{V_1}\right), R\left(T_1-T_2\right)\) |
| 4. | \(0, R T_2 \ln \left(\frac{V_2}{V_1}\right), R\left(T_2-T_1\right)\) |
The Carnot cycle (reversible) of gas is represented by a pressure-volume curve as shown in the figure. Consider the following statements:
| I. | The area \(ABCD\) = The work done on the gas |
| II. | The area \(ABCD\) = The net heat absorbed |
| III. | The change in the internal energy in the cycle = \(0\) |
Which of the statement(s) given above is/are correct?

| 1. | I only | 2. | II only |
| 3. | II and III | 4. | I, II, and III |
The heat energy absorbed by a system is going through a cyclic process shown in the figure is:
(1) 107 J
(2) 104 J
(3) 102 J
(4) 10–3 J
When a system is taken from state i to a state f along path iaf, Q = 50 J and W = 20 J.
If W = –13 J for the curved return path fi, Q for this path is -
1. 33 J
2. 23 J
3. – 7 J
4. – 43 J
An ideal gas is taken from point A to the point B, as shown in the P-V diagram. The work done in the process is -
1.
2.
3.
4.