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Q. No.An ideal gas has molecules with \(5\) degrees of freedom. The ratio of specific heats at constant pressure \(C_{P}\) and at constant volume \(C_V\) is:
1. \(\frac{7}{2}\)
2. \(\frac{7}{5}\)
3. \(6\)
4. \(\frac{5}{2}\)
1. \(\frac{7}{2}\)
2. \(\frac{7}{5}\)
3. \(6\)
4. \(\frac{5}{2}\)
Subtopic: Specific Heat |
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A mixture contains one mole of a monoatomic gas and one mole of a rigid diatomic gas at room temperature \(\left(27^{\circ} \mathrm{C}\right). \) What is the ratio of their specific heats at constant volume?
| 1. | \(\dfrac{3}{2}\) | 2. | \(\dfrac{7}{5}\) |
| 3. | \(\dfrac{3}{5}\) | 4. | \(\dfrac{5}{2}\) |
Subtopic: Specific Heat |
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Consider a mixture of \(n\) moles of helium gas and \(2n\) moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its \(\dfrac{C_p}{C_v}\) value is:
| 1. | \(\dfrac{19}{13}\) | 2. | \(\dfrac{40}{27}\) |
| 3. | \(\dfrac{67}{45}\) | 4. | \(\dfrac{23}{15}\) |
Subtopic: Specific Heat |
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Let \(C_{p}\) and \(C_{v}\) denote the molar heat capacities of an ideal gas at constant pressure and volume, respectively. Which of the following is a universal constant?
1. \(C_{p}/C_{v}\)
2. \(C_{p}\times C_{v}\)
3. \(C_{p}-C_{v}\)
4. \(C_{p}+C_{v}\)
1. \(C_{p}/C_{v}\)
2. \(C_{p}\times C_{v}\)
3. \(C_{p}-C_{v}\)
4. \(C_{p}+C_{v}\)
Subtopic: Specific Heat |
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The relation between two specific heats (in cal/mol) of a gas is:
(where \(\text{(J)}\) represents \(1\) Joule)
1. \(C_P-C_V=\dfrac{R}{J}\)
2. \(C_V-C_P=\dfrac{R}{J}\)
3. \(C_P-C_V=R\)
4. \(C_V-C_P=R\)
Subtopic: Specific Heat |
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Which of the following is an incorrect relation? (where symbols have their usual meaning)
| 1. | \(\gamma=\dfrac{C_p}{C_v}\) | 2. | \(C_v=\dfrac{R}{\gamma-1}\) |
| 3. | \(C_p=\dfrac{\gamma R}{\gamma+1}\) | 4. | \(\gamma=1+\dfrac2f\) |
Subtopic: Specific Heat |
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