Q. No.For the given cycle, the work done during the isobaric process is:
1.
\(200\) J
2.
zero
3.
\(400\) J
4.
\(600\) J
An ideal gas undergoes a thermodynamic process described by the equation:
\(PV^2=C,\)
where \(C\) is a constant. The gas transitions from an initial state \((P_1, V_1, T_1)\) to a final state \((P_2, V_2, T_2).\) Which of the following statements is correct?
| 1. | \(\text{If}~P_1>P_2,~\text{then}~T_1<T_2 \) |
| 2. | \(\text{If}~V_2>V_1,~\text{then}~T_2>T_1\) |
| 3. | \(\text{If}~V_2>V_1,~\text{then}~T_2<T_1\) |
| 4. | \(\text{If}~P_1>P_2,~\text{then}~V_1>V_2\) |
A gas undergoes an isothermal process. The specific heat capacity of the gas in the process is:
| 1. | infinity | 2. | \(0.5\) |
| 3. | zero | 4. | \(1\) |
| 1. | \(4\) | 2. | \(1\) |
| 3. | \(2\) | 4. | \(3\) |
| 1. | \(30~\text J\) | 2. | \(-90~\text J\) |
| 3. | \(-60~\text J\) | 4. | zero |
1. \(P^{\gamma-1} {~T}^\gamma \)
2. \(T V^{1-\gamma} \)
3. \(V^{\gamma-1} {~T}^ \gamma \)
4. \(P^{1-\gamma} ~{T}^\gamma\)
| A. | Pressure | B. | Total heat |
| C. | Temperature | D. | Volume |
| E. | Work done | ||
| 1. | A, B and E only | 2. | B, C and D only |
| 3. | A, B and C only | 4. | A, C and D only |
One mole of an ideal gas at an initial temperature of \(T\) K does \(6R\) joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is \(5/3\), the final temperature of the gas will be:
1. \((T-2.4)\) K
2. \((T+4)\) K
3. \((T-4)\) K
4. \((T+2.4)\) K
The initial pressure and volume of a gas are P and V respectively. First, its volume is expanded to 4V by an isothermal process and then compressed adiabatically to volume V. The final pressure will be (γ = 1.5):
| 1. | 8P | 2. | 4P |
| 3. | P | 4. | 2P |
| 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. |
© 2026 GoodEd Technologies Pvt. Ltd.