Q. No.1. \(P^{\gamma-1} {~T}^\gamma \)
2. \(T V^{1-\gamma} \)
3. \(V^{\gamma-1} {~T}^ \gamma \)
4. \(P^{1-\gamma} ~{T}^\gamma\)
| 1. | \(4\) | 2. | \(1\) |
| 3. | \(2\) | 4. | \(3\) |
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. | \(\text{If}~P_1>P_2,~\text{then}~V_1>V_2\) |
Two cylinders \(A\) and \(B\) of equal capacity are connected to each other via a stop cock. A contains an ideal gas at standard temperature and pressure. \(B\) is completely evacuated. The entire system is thermally insulated. The stop cock is suddenly opened. The process is:
| 1. | adiabatic | 2. | isochoric |
| 3. | isobaric | 4. | isothermal |
The \((P\text{-}V)\) diagram for an ideal gas in a piston-cylinder assembly undergoing a thermodynamic process is shown in the figure. The process is:
| 1. | adiabatic | 2. | isochoric |
| 3. | isobaric | 4. | isothermal |
| 1. | isochoric | 2. | isothermal |
| 3. | adiabatic | 4. | isobaric |
Thermodynamic processes are indicated in the following diagram:
Match the following:
| Column-I | Column-II | ||
| \(\mathrm{(P)}\) | Process I | \(\mathrm{(a)}\) | Adiabatic |
| \(\mathrm{(Q)}\) | Process II | \(\mathrm{(b)}\) | Isobaric |
| \(\mathrm{(R)}\) | Process III | \(\mathrm{(c)}\) | Isochoric |
| \(\mathrm{(S)}\) | Process IV | \(\mathrm{(d)}\) | Isothermal |
| 1. | \(\mathrm{P → c, Q → a, R → d, S→ b}\) |
| 2. | \(\mathrm{P→ c, Q → d, R → b, S → a}\) |
| 3. | \(\mathrm{P → d, Q → b, R → b, S → c}\) |
| 4. | \(\mathrm{P → a, Q → c, R → d, S → b}\) |
A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then,
| 1. | compressing the gas through an adiabatic process will require more work to be done. |
| 2. | compressing the gas isothermally or adiabatically will require the same amount of work. |
| 3. | which of the case (whether compression through isothermal or through the adiabatic process) requires more work will depend upon the atomicity of the gas. |
| 4. | compressing the gas isothermally will require more work to be done. |
| 1. | \(64P\) | 2. | \(32P\) |
| 3. | \(\frac{P}{64}\) | 4. | \(16P\) |
1. \(2\)
2. \(5/3\)
3. \(3/2\)
4. \(4/3\)
© 2026 GoodEd Technologies Pvt. Ltd.