The relation between two specific heats (in cal/mol) of a gas is:
1.
2.
3.
4.
If the mean free path of atoms is doubled , then the pressure of the gas will become:
1. P/4
2. P/2
3. P/8
4. P
If \(V_\text{H}\),\(V_\text{N}\) and \(V_\text{O}\) denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then:
1. \(V_\text{N}>V_\text{O}>V_\text{H}\)
2. \(V_\text{H}>V_\text{N}>V_\text{O}\)
3. \(V_\text{O}>V_\text{N}>V_\text{H}\)
4. \(V_\text{O}>V_\text{H}>V_\text{N}\)
Two thermally insulated vessels \(1\) and \(2\) are filled with air at temperatures \(\mathrm{T_1},\) \(\mathrm{T_2},\) volume \(\mathrm{V_1},\) \(\mathrm{V_2}\) and pressure \(\mathrm{P_1},\) \(\mathrm{P_2}\) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be:
1. | \(T_1+T_2\) | 2. | \(\dfrac{T_1+T_2}{2}\) |
3. | \(\dfrac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_2+P_2V_2T_1}\) | 4. | \(\dfrac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_1+P_2V_2T_2}\) |
The rms speed of oxygen atoms is v. If the temperature is halved and the oxygen atoms combine to form oxygen molecules, then the rms speed will be:
1.
2.
3. 2v
4.
The pressure in a diatomic gas increases from to , when its volume is increased from . The increase in internal energy will be:
1.
2.
3.
4.
In the PV graph shown below for an ideal diatomic gas, the change in the internal energy is:
1.
2.
3.
4.
The figure shows a process for a gas in which pressure (P) and volume (V) of the gas change. If and are the molar heat capacities of the gas during the processes AB and BC respectively, then:
1.
2.
3.
4.
The change in the internal energy of an ideal gas does not depend on?
1. | Number of moles |
2. | Change in temperature |
3. | Specific heat at constant pressure \(C_p\) of the gas |
4. | Specific heat at constant volume \(C_v\) of the gas |
The translational kinetic energy of oxygen molecules at room temperature is 60 J. Their rotational kinetic energy will be?
1. 40 J
2. 60 J
3. 50 J
4. 20 J