If the pressure in a closed vessel is reduced by removing some of the gas, how is the mean free path between two gas molecules affected?
1. | It increases. |
2. | It decreases. |
3. | It remains unchanged. |
4. | It increases or decreases depending on the nature of the gas. |
1. | \(T_\mathrm {H_{2}}=T_\mathrm{H e}\) | 2. | \(\dfrac{T_\mathrm{H_2}}{2}=\dfrac{T_\mathrm{He}}{4}\) |
3. | \(5 T_\mathrm{H_2}=3 T_\mathrm{He}\) | 4. | \(\dfrac{T_\mathrm{H_{2}}}{5}=\dfrac{T_\mathrm{{He }}}{3}\) |
1. | 2. | ||
3. | 4. |
Assertion (A): | The molecules of a monoatomic gas has three degrees of freedom. |
Reason (R): | The molecules of diatomic gas have five degrees of freedom. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
Assertion (A): | The molar heat capacity of the gas can have any value from \(-\infty\) to \(\infty\). |
Reason (R): | The molar heat capacity of the gas for the isothermal process is \(\infty\). |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
1. | \({\dfrac{n} {n+2}}\) | 2. | \({\dfrac{n+2} {n}}\) |
3. | \({\dfrac{n} {2n+2}}\) | 4. | \({\dfrac{n} {n-2}}\) |
Hydrogen gas is contained in a vessel and the RMS speed of the gas molecules is \(v\). The gas is heated isobarically so that its volume doubles, then it is compressed isothermally so that it returns to the same volume. The final RMS speed of the molecules will be:
1. | \(v\) | 22. | \(v\)/2 |
3. | \(v\)\(\sqrt2\) | 4. | \(v\)/\(\sqrt2\) |
A. | \((\overline{v^2}).\) | They have an equal mean square velocity
B. | \((\overline{v^2})\) than an oxygen molecule. | A nitrogen molecule has a greater mean square velocity
C. | A nitrogen molecule has a greater mean kinetic energy than an oxygen molecule. |
D. | An oxygen molecule has a greater mean kinetic energy than a nitrogen molecule. |
1. | Statement A only |
2. | Statement A and C only |
3. | Statement B and D only |
4. | Statement B only |