Two chambers of different volumes, one containing g of a gas at pressure and other containing g of the same gas at pressure are joined to each other. If the temperature of the gas remains constant, the common pressure reached is:
1.
2.
3.
4.
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.
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. | \(\dfrac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_1+P_2V_2T_2}\) |
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. \(V_\text{O}>V_\text{H}>V_\text{N}\)
If the ratio of vapour density for hydrogen and oxygen is \(1 \over 16\), then under constant pressure, the ratio of their rms velocities will be:
1. | \(4 \over 1\) | 2. | \(1 \over 4\) |
3. | \(1 \over 16\) | 4. | \(16 \over 1\) |
What is the velocity of a wave in a monoatomic gas having pressure 1 kilopascal and density ?
1.
2.
3. Zero
4. None of these
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
The relation between two specific heats (in cal/mol) of a gas is:
1.
2.
3.
4.
The root mean square velocity of the molecules of a gas is 300 m/s. What will be the root mean square speed of the molecules if the atomic weight is doubled and absolute temperature is halved?
1. | 300 m/s | 2. | 150 m/s |
3. | 600 m/s | 4. | 75 m/s |
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.