Q. No.The graph between volume and temperature in Charle's law is?
1. an ellipse
2. a circle
3. a straight line
4. a parabola
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Two vessels separately contain two ideal gases \(\mathrm{A}\) and \(\mathrm{B}\) at the same temperature, the pressure of \(\mathrm{A}\) being twice that of \(\mathrm{B}\). Under such conditions, the density of \(\mathrm{A}\) is found to be \(1.5\) times the density of \(\mathrm{B}\). The ratio of molecular weight of \(\mathrm{A}\) and \(\mathrm{B}\) is:
| 1. | \(\frac{2}{3}\) | 2. | \(\frac{3}{4}\) |
| 3. | \(2\) | 4. | \(\frac{1}{2}\) |
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The figure below shows the graph of pressure and volume of a gas at two temperatures and . Which one, of the following, inferences is correct?
| 1. | \(\mathrm{T}_1>\mathrm{T}_2\) |
| 2. | \(\mathrm{T}_1=\mathrm{T}_2\) |
| 3. | \(\mathrm{T}_1<\mathrm{T}_2\) |
| 4. | No inference can be drawn |
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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 |
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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. | \(Pm \over kT\) |
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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. \(\frac{T_1+T_2}{2}\)
3. \(\frac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_2+P_2V_2T_1}\)
4. \(\frac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_1+P_2V_2T_2}\)
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At \(10^{\circ}\mathrm{C}\) the value of the density of a fixed mass of an ideal gas divided by its pressure is \(x\). At \(110^{\circ}\mathrm{C}\) this ratio is:
1. \(x\)
2. \(\frac{383}{283}x\)
3. \(\frac{10}{110}x\)
4. \(\frac{283}{383}x\)
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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. \(\frac{n_H}{n_{He}} = \frac{3}{1}\)
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An experiment is carried out on a fixed amount of gas at different temperatures and at high pressure such that it deviates from the ideal gas behaviour. The variation of with P is shown in the diagram. The correct variation will correspond to: (Assuming that the gas in consideration is nitrogen)
| 1. | Curve A | 2. | Curve B |
| 3. | Curve C | 4. | Curve D |
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