The volume and temperature graph is given in the figure below. If pressures for the two processes are different, then which one, of the following, is true?
1. | \(P_1=P_2\) and \(P_3=P_4\) and \(P_3>P_2\) |
2. | \(P_1=P_2\) and \(P_3=P_4\) and \(P_3<P_2\) |
3. | \(P_1=P_2\) \(=\) \(P_3=P_4\) |
4. | \(P_1>P_2\) \(>\) \(P_3>P_4\) |
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 |
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.
At a pressure of 24 × 105 dyne/cm2, the volume of O2 is 10 litre and mass is 20g. The rms velocity will be:
1. | 800 m/s | 2. | 400 m/s |
3. | 600 m/s | 4. | Data is incomplete |
The volume \(V\) versus temperature \(T\) graph for a certain amount of a perfect gas at two pressures \(\mathrm{P}_1\) and
\(\mathrm{P}_2\) are shown in the figure. Here:
1. | \(\mathrm{P}_1<\mathrm{P}_2\) |
2. | \(\mathrm{P}_1>\mathrm{P}_2\) |
3. | \(\mathrm{P}_1=\mathrm{P}_2\) |
4. | Pressures can’t be related |
We have two vessels of equal volume, one filled with hydrogen and the other with equal mass of helium. The common temperature is \(27^{\circ}\mathrm{C}\) . What is the relative number of molecules in the two vessels?
1. \(\frac{n_H}{n_{He}} = \frac{1}{1}\)
2. \(\frac{n_H}{n_{He}} = \frac{5}{1}\)
3. \(\frac{n_H}{n_{He}} = \frac{2}{1}\)
4. \(\frac{n_H}{n_{He}} = \frac{3}{1}\)
During an experiment, an ideal gas is found to obey an additional law VP2 = constant. The gas is initially at temperature T and volume V. What will be the temperature of the gas when it expands to a volume 2V?
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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. | \(\dfrac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_1+P_2V_2T_2}\) |