A heat engine operates between the temperatures of 300 K and 500 K. If it extracts 1200 J of heat energy from the source, then the maximum amount of work that can be done by the engine is:
1. 720 J
2. 520 J
3. 480 J
4. 200 J
If 3 moles of a monoatomic gas do 150 J of work when it expands isobarically, then a change in its internal energy will be:
| 1. | 100 J | 2. | 225 J |
| 3. | 400 J | 4. | 450 J |
In the case of free expansion, when a sample of gas expands suddenly, the change in internal energy of the gas will be:
1. Positive
2. Negative
3. Zero
4. May be positive or negative
1. \(6P_0V_0\)
2. \(5P_0V_0\)
3. \(3P_0V_0\)
4. \(2P_0V_0\)
The efficiency of a Carnot heat engine working between the temperatures \(27^{\circ}\mathrm{C}\) and \(227^{\circ}\mathrm{C}\) is:
1. 0.1
2. 0.6
3. 0.2
4. 0.4
Work done during the given cycle is:
1. 4
2. 2
3.
4.
The cyclic process of \(2\) moles of diatomic gas is shown in the figure. Which of the following statements is correct?

| 1. | The process \(BC\) is an isothermal compression. |
| 2. | The work done in the process \(CA\) is \(4 R T_0\) |
| 3. | The work done in the process \(AB\) is zero. |
| 4. | All of these |
An ideal gas is enclosed in an insulated cylinder. The piston is frictionless and attached to an ideal spring. When the gas is heated, then:
| 1. | the work is done against the spring only. |
| 2. | the work is done against the atmospheric pressure only. |
| 3. | the internal energy of gas increases. |
| 4. | the work is equal to the heat supplied. |
If a gas undergoes the change in its thermodynamic state from A to B via two different paths, as shown in the given pressure (P) versus volume (V) graph, then:
| 1. | the temperature of the gas decreases in path 1 from A to B. |
| 2. | the heat absorbed by the gas in path 1 is greater than in path 2. |
| 3. | the heat absorbed by the gas in path 2 is greater than in path 1. |
| 4. | the change in internal energy in path 1 is greater than in path 2. |
The PV diagram of an ideal gas is shown in the figure. The work done by the gas in the process is given by:
| 1. | \(\frac{9}{2}P_0V_0\) | 2. | \(\frac{15}{2}P_0V_0\) |
| 3. | \(\frac{13}{2}P_0V_0\) | 4. | \(\frac{3}{2}P_0V_0\) |