Which one of the following graph is correct at constant pressure?
1. | 2. | ||
3. | 4. |
Molecular weight of two gases are \(M_1\) and \(M_2.\) At any temperature, the ratio of root mean square velocities \(v_1\) and \(v_2\) will be:
1. \(\sqrt{\frac{M_1}{M_2}}\)
2. \(\sqrt{\frac{M_2}{M_1}}\)
3. \(\sqrt{\frac{M_1+M_2}{M_1-M_2}}\)
4. \(\sqrt{\frac{M_1-M_2}{M_1+M_2}}\)
Volume, pressure, and temperature of an ideal gas are \(V,\) \(P,\) and \(T\) respectively. If the mass of its molecule is \(m\), then its density is: [\(k\)=Boltzmann's constant]
1. | \(mkT\) | 2. | \(P \over kT\) |
3. | \(P \over kTV\) | 4. | \(Pm \over kT\) |
At what temperature is the root mean square speed of molecules of hydrogen twice as that at STP?
1. \(273\) K
2. \(546\) K
3. \(819\) K
4. \(1092\) K
The curve between absolute temperature and \(\mathrm{v}^2_{rms}\) is:
1. | 2. | ||
3. | 4. |
The molecules of a given mass of gas have rms velocity of 200 ms-1 at \(27^{\circ}\mathrm{C}\) and 1.0 x 105 Nm-2 pressure. When the temperature and pressure of the gas are increased to, respectively, \(127^{\circ}\mathrm{C}\) and 0.05 X 105 Nm-2, rms velocity of its molecules in ms-1 will become:
1. 400/√3
2. 100√2/3
3. 100/3
4.100√2
The ratio of the specific heats in terms of degrees of freedom (\(n\)) is given by:
1. \(1+1/n\)
2. \(1+n/3\)
3. \(1+2/n\)
4. \(1+n/2\)
At which temperature the velocity of \(\mathrm{O_2}\) molecules will be equal to the velocity of \(\mathrm{N_2}\) molecules at \(0^\circ \mathrm{C}?\)
1. | \(40^\circ \mathrm{C}\) | 2. | \(93^\circ \mathrm{C}\) |
3. | \(39^\circ \mathrm{C}\) | 4. | Cannot be calculated |
If the pressure in a closed vessel is reduced by drawing out some gas, the mean free path of the molecules:
1. | decreases |
2. | increases |
3. | remains unchanged |
4. | increases or decreases according to the nature of the gas |
The specific heat of an ideal gas is:
1. proportional to
2. proportional to T2.
3. proportional to T3.
4. independent of