Q. No.What is the graph between volume and temperature in Charle's law?
1. An ellipse
2. A circle
3. A straight line
4. A parabola
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Two vessels separately contain two ideal gases \(A\) and \(B\) at the same temperature, the pressure of \(A\) being twice that of \(B.\) Under such conditions, the density of \(A\) is found to be \(1.5\) times the density of \(B.\) The ratio of molecular weight of \(A\) and \(B\) is:
| 1. | \(\dfrac{2}{3}\) | 2. | \(\dfrac{3}{4}\) |
| 3. | \(2\) | 4. | \(\dfrac{1}{2}\) |
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An isolated system-
| 1. | is a specified region where transfer of energy and mass takes place |
| 2. | is a region of constant mass and only energy is allowed through the closed boundaries |
| 3. | is one in which mass within the system is not necessarily constant. |
| 4. | cannot transfer neither energy nor mass to or from the surroundings. |
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The figure below shows the graph of pressure and volume of a gas at two temperatures \(T_1\) and \(T_2.\) Which one, of the following, inferences is correct?
| 1. | \(T_1>T_2\) |
| 2. | \(T_1=T_2\) |
| 3. | \(T_1<T_2\) |
| 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 \(P_1\) and
\(P_2\) are shown in the figure.
Here:
| 1. | \({P}_1<{P}_2\) |
| 2. | \({P}_1>{P}_2\) |
| 3. | \({P}_1={P}_2\) |
| 4. | Pressures can’t be related |
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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?
1.
2.
3.
4.
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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. | \(\dfrac{P}{kT}\) |
| 3. | \(\dfrac{P}{kTV}\) | 4. | \(\dfrac{Pm}{kT}\) |
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Which one, of the following, graphs represents the behaviour of an ideal gas at constant temperature?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
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The equation of state for 5g of oxygen at a pressure P and temperature T, when occupying a volume V, will be: (where R is the gas constant)
1. PV = 5 RT
2. PV = (5/2) RT
3. PV = (5/16) RT
4. PV = (5/32) RT
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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. | \(\dfrac{T_1+T_2}{2}\) |
| 3. | \(\dfrac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_2+P_2V_2T_1}\) | 4. | \(\dfrac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_1+P_2V_2T_2}\) |
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