Q. No.| 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 |
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. | \(\text{If}~P_1>P_2,~\text{then}~V_1>V_2\) |
| 1. | \(4\) | 2. | \(1\) |
| 3. | \(2\) | 4. | \(3\) |
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 |
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 |
| 1. | isochoric | 2. | isothermal |
| 3. | adiabatic | 4. | isobaric |
Thermodynamic processes are indicated in the following diagram:
Match the following:
| Column-I | Column-II | ||
| (P) | Process I | (a) | Adiabatic |
| (Q) | Process II | (b) | Isobaric |
| (R) | Process III | (c) | Isochoric |
| (S) | Process IV | (d) | Isothermal |
| 1. | P → c, Q → a, R → d, S→ b |
| 2. | P→ c, Q → d, R → b, S → a |
| 3. | P → d, Q → b, R → b, S → c |
| 4. | 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. \({P}^{1-\gamma}{T}^{\gamma}= \text{constant}\)
2. \({PV}^{\gamma}=\text{constant}\)
3. \({TV}^{\gamma-1}= \text{constant}\)
4. \({P}^{\gamma} {T}^{1-\gamma}=\text{constant}\)
© 2025 GoodEd Technologies Pvt. Ltd.