An ideal gas is compressed to half its initial volume by means of several processes.
Which of the following processes results in the maximum work being done on the gas?
1. Adiabatic
2. Isobaric
3. Isochoric
4. Isothermal
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of CP/CV for the gas is equal to:
1. | 4/3 | 2. | 2 |
3. | 5/3 | 4. | 3/2 |
An ideal gas goes from state \(A\) to state \(B\) via three different processes, as indicated in the \(P\text-V\) diagram. If \(Q_1,Q_2,Q_3\) indicates the heat absorbed by the gas along the three processes and \(\Delta U_1, \Delta U_2, \Delta U_3\) indicates the change in internal energy along the three processes respectively, then:
1. | \({Q}_1>{Q}_2>{Q}_3 \) and \(\Delta {U}_1=\Delta {U}_2=\Delta {U}_3\) |
2. | \({Q}_3>{Q}_2>{Q}_1\) and \(\Delta {U}_1=\Delta {U}_2=\Delta {U}_3\) |
3. | \({Q}_1={Q}_2={Q}_3\) and \(\Delta {U}_1>\Delta {U}_2>\Delta {U}_3\) |
4. | \({Q}_3>{Q}_2>{Q}_1\) and \(\Delta {U}_1>\Delta {U}_2>\Delta {U}_3\) |
In thermodynamic processes, which of the following statements is not true?
1. | In an adiabatic process, the system is insulated from the surroundings. |
2. | In an isochoric process, the pressure remains constant. |
3. | In an isothermal process, the temperature remains constant. |
4. | In an adiabatic process, \(P V^\gamma\) = constant. |
In isothermal expansion, the pressure is determined by:
1. | Temperature only |
2. | Compressibility only |
3. | Both temperature and compressibility |
4. | None of these |
Under isothermal conditions, the volumes of ideal gas A and actual gas B grow from V to 2 V. The increase in internal energy:
1. | will be the same in both A and B. |
2. | will be zero in both the gases. |
3. | of B will be more than that of A. |
4. | of A will be more than that of B. |
The specific heat of a gas in an isothermal process is:
1. | Infinite | 2. | Zero |
3. | Negative | 4. | Remains constant |
The pressure and density of a diatomic gas changes adiabatically from (P, d) to (P', d'). If , then should be:
1. | 1/128 | 2. | 32 |
3. | 128 | 4. | None of the above |
Two identical samples of a gas are allowed to expand, (i) isothermally and (ii) adiabatically. Work done will be:
1. | more in the isothermal process. |
2. | more in the adiabatic process. |
3. | equal in both processes. |
4. | none of the above. |
In an adiabatic expansion of a gas, if the initial and final temperatures are \(T_1\) and \(T_2\), respectively, then the change in internal energy of the gas is:
1. \(\frac{nR}{\gamma-1}(T_2-T_1)\)
2. \(\frac{nR}{\gamma-1}(T_1-T_2)\)
3. \(nR ~(T_1-T_2)\)
4. Zero