- 1(current)
Q. No.Which one of the following schematic graphs best represents the variation of \(PV\) (in joules) versus \(T\) (in kelvin) of one mole of an ideal gas? (The dotted line represents \(PV=T\)).
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Â Ideal Gas Equation |
Level 4: Below 35%
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An equimolar mixture of nitrogen and carbon dioxide gases is cooled until the carbon dioxide gas condenses. Assume that the volume of liquid \(CO_2\) is negligible compared to \(CO_2\) gas which behaves ideally. Before the gas condensed, the total pressure was \(P_1\) and after condensation the total pressure was \(P_2.\) The change in temperature is negligible. Then:
| 1. | \(P_1=P_2\) | 2. | \(P_1=2P_2\) |
| 3. | \(\Large\frac{P_1}{28}= \frac{P_2}{44}\) | 4. | \(28P_1=44P_2\) |
Subtopic: Â Ideal Gas Equation |
Level 3: 35%-60%
Hints
Consider a mole of a sample of hydrogen gas at NTP. Then:
| 1. | the volume of the gas is exactly \(2.24\times10^{-2}\, \text{m}^3.\) |
| 2. | the volume of the gas is approximately \(2.24\times10^{-2}\, \text{m}^3.\) |
| 3. | the gas will be in thermal equilibrium with \(1\) mole of oxygen gas at NTP. |
| 4. | the gas will be in thermodynamic equilibrium with \(1\) mole of oxygen at NTP. |
Subtopic: Â Ideal Gas Equation |
 57%
Level 3: 35%-60%
Please attempt this question first.
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During a certain atmospheric process, a pocket of air near the earth's surface rises upwards very rapidly into the upper regions of the atmosphere. As a result, the temperature of this air:
| 1. | increases. |
| 2. | decreases. |
| 3. | remains constant. |
| 4. | first increases, then decreases. |
Subtopic: Â Ideal Gas Equation |
 57%
Level 3: 35%-60%
Hints
An ideal gas undergoes a process during which the ratio \(\dfrac{V}{T^2}\) is constant. The variation of \(X=pV\) as a function of volume \(V\) is:
1. \(X\propto V\)
2. \(X\propto V^2\)
3. \(X\propto V^{\frac12}\)
4. \(X\propto V^{-\frac12}\)
1. \(X\propto V\)
2. \(X\propto V^2\)
3. \(X\propto V^{\frac12}\)
4. \(X\propto V^{-\frac12}\)
Subtopic: Â Ideal Gas Equation |
 58%
Level 3: 35%-60%
Hints
- 1(current)
Q. No.
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