The temperature at which the rms speed of atoms in neon gas is equal to the rms speed of hydrogen molecules at \(15^{\circ} \mathrm{C}\) is: (Atomic mass of neon \(=20.2\) u, molecular mass of hydrogen \(=2\) u)
1. | \(2.9\times10^{3}\) K | 2. | \(2.9\) K |
3. | \(0.15\times10^{3}\) K | 4. | \(0.29\times10^{3}\) K |
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. | \(v\)/\(\sqrt2\) |
Assertion (A): | The average velocity of the molecules of an ideal gas increases when the temperature rises. |
Reason (R): | The internal energy of an ideal gas increases with temperature, and this internal energy is the random kinetic energy of molecular motion. |
1. | (A) is True but (R) is False. |
2. | (A) is False but (R) is True. |
3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
1. | \(v_a>v_{rms}\) |
2. | \(v_a<v_{rms}\) |
3. | \(v_a=v_{rms}\) |
4. | \(v_{rms}\) is undefined |
1. | mass of the gas |
2. | kinetic energy of the gas |
3. | number of moles of the gas |
4. | number of molecules in the gas |