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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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The total internal energy of two moles of a monoatomic ideal gas at temperature \(T = 300~\text{K}\) will be:
(Given: \(R = 8.31\) J/mol.K)
1. \(4789~\text{J}\)
2. \(7479~\text{J}\)
3. \(5896~\text{J}\)
4. \(8346~\text{J}\)
(Given: \(R = 8.31\) J/mol.K)
1. \(4789~\text{J}\)
2. \(7479~\text{J}\)
3. \(5896~\text{J}\)
4. \(8346~\text{J}\)
Subtopic: Specific Heat |
82%
From NCERT
JEE
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A gas has \(n\) degrees of freedom. The ratio of the specific heat of the gas at constant volume to the specific heat of the gas at constant pressure will be:
| 1. | \({\dfrac{n} {n+2}}\) | 2. | \({\dfrac{n+2} {n}}\) |
| 3. | \({\dfrac{n} {2n+2}}\) | 4. | \({\dfrac{n} {n-2}}\) |
Subtopic: Specific Heat |
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JEE
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One mole of a monoatomic gas is mixed with three moles of a diatomic gas. If the molecular specific heat of the mixture at constant volume is \(\dfrac{\alpha^2}{4} {R}~ \text{J} / \text{mol-K},\) then the value of \(\alpha\) will be:
(assume that the given diatomic gas has no vibrational mode)
(assume that the given diatomic gas has no vibrational mode)
| 1. | \(5\) | 2. | \(4\) |
| 3. | \(3\) | 4. | \(2\) |
Subtopic: Specific Heat |
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JEE
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\(N\) moles of non-linear polyatomic gas (degree of freedom \(6\)) is mixed with \(2\) moles of monoatomic gas. The resultant mixture has molar-specific heat equal to that of a diatomic gas, then the number of moles \((N)\) is:
1. \(4\)
2. \(5\)
3. \(6\)
4. \(3\)
1. \(4\)
2. \(5\)
3. \(6\)
4. \(3\)
Subtopic: Specific Heat |
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JEE
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A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature \(\left(27^{\circ} \mathrm{C}\right). \)The ratio of specific heat of gases at constant volume respectively is:
1. \(\frac{3}{2}\)
2. \(\frac{7}{5}\)
3. \(\frac{3}{5}\)
4. \(\frac{5}{2}\)
1. \(\frac{3}{2}\)
2. \(\frac{7}{5}\)
3. \(\frac{3}{5}\)
4. \(\frac{5}{2}\)
Subtopic: Specific Heat |
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