Q. No.If in the thermodynamic process shown in the figure, the work done by the system along A B C is 50 J and the change in internal energy during C A is 30 J, then the heat supplied during A B C is:
| 1. | 50 J | 2. | 20 J |
| 3. | 10 J | 4. | 80 J |
An ideal gas is taken through the cycle \(A\rightarrow B\rightarrow C\rightarrow A\) as shown in the figure below. If the net heat supplied to the gas is \(10~\text{J}\), then the work done by the gas in the process \(B\rightarrow C\) is:
| 1. | \(-10~\text{J}\) | 2. | \(-30~\text{J}\) |
| 3. | \(-15~\text{J}\) | 4. | \(-20~\text{J}\) |
An ideal gas undergoes a cyclic process ABCA as shown. The heat exchange between the system and the surrounding during the process will be:
| 1. | 10 J | 2. | 5 J |
| 3. | 15 J | 4. | 20 J |
In the cyclic process shown in the pressure-volume \((P-V)\) diagram, the change in internal energy is equal to:
1.
2.
3.
4. zero
For the indicator diagram given below, which of the following is not correct?
| 1. | Cycle II is a heat engine cycle. |
| 2. | Net work is done on the gas in cycle I. |
| 3. | Work done is positive for cycle I. |
| 4. | Work done is positive for cycle II. |
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 |
In a cyclic process, the internal energy of the gas:
| 1. | increases | 2. | decreases |
| 3. | remains constant | 4. | becomes zero |
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 |
In the \((P\text-V)\) diagram shown, the gas does \(5~\text J\) of work in the isothermal process \(ab\) and \(4~\text J\) in the adiabatic process \(bc.\) What will be the change in internal energy of the gas in the straight path from \(c\) to \(a?\)
1. \(9~\text J\)
2. \(1~\text J\)
3. \(4~\text J\)
4. \(5~\text J\)
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