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Q. No.A monoatomic gas performs a work of \(\dfrac{ Q} {4}\) where \(Q\) is the heat supplied to it. During this transformation, the molar heat capacity of the gas will be: (\(R\) is the gas constant.)
| 1. | \(R\) | 2. | \(2R\) |
| 3. | \(3R\) | 4. | \(4R\) |
Subtopic: Â Molar Specific Heat |
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From NCERT
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The \((P\text-V)\) graph of an ideal monoatomic gas is as shown. The molar heat capacity of gas will be:
1. \(2R\)
2. \(3R\)
3. \(5R\)
4. \(7R\)
Subtopic: Â Molar Specific Heat |
 53%
From NCERT
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One mole of a monoatomic ideal gas is mixed with one mole of a diatomic ideal gas. The molar specific heat of the mixture at constant volume is:
1. \(8R\)
2. \(\dfrac{3R}{2}\)
3. \(2R\)
4. \(2.5R\)
1. \(8R\)
2. \(\dfrac{3R}{2}\)
3. \(2R\)
4. \(2.5R\)
Subtopic: Â Molar Specific Heat |
 75%
From NCERT
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A gas undergoes an isothermal process. The specific heat capacity of the gas in the process is:
| 1. | infinity | 2. | \(0.5\) |
| 3. | zero | 4. | \(1\) |
Subtopic: Â Molar Specific Heat |
 72%
From NCERT
NEET - 2022
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A thermally insulated vessel contains an ideal gas of molecular mass \(M\) and a specific heat ratio of \(1.4.\) The vessel is moving with speed \(v\) and is suddenly brought to rest. Assuming no heat is lost to the surroundings, then the vessel temperature of the gas increases by:
(\(R=\) universal gas constant)
1. \(\dfrac{M v^2}{7 R} \)
2. \(\dfrac{M v^2}{5 R} \)
3. \(\dfrac{2M v^2}{7 R} \)
4. \(\dfrac{7M v^2}{5 R} \)
(\(R=\) universal gas constant)
1. \(\dfrac{M v^2}{7 R} \)
2. \(\dfrac{M v^2}{5 R} \)
3. \(\dfrac{2M v^2}{7 R} \)
4. \(\dfrac{7M v^2}{5 R} \)
Subtopic: Â Molar Specific Heat |
 56%
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A diatomic gas (\(\gamma= 1.4\)) does \(400\) J of work when it is expanded isobarically. The heat given to the gas in the process is:
1. \(1000\) J
2. \(1200\) J
3. \(1400\) J
4. \(1600\) J
1. \(1000\) J
2. \(1200\) J
3. \(1400\) J
4. \(1600\) J
Subtopic: Â Molar Specific Heat |
 72%
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At a certain temperature, the degree of freedom per molecule for gas is \(8\). The gas performs \(150\) J of work when it expands under constant pressure. The amount of heat absorbed by the gas will be:
1. \(530~\text{J}\)
2. \(380~\text{J}\)
3. \(100~\text{J}\)
4. \(750~\text{J}\)
1. \(530~\text{J}\)
2. \(380~\text{J}\)
3. \(100~\text{J}\)
4. \(750~\text{J}\)
Subtopic: Â Molar Specific Heat |
 82%
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The molar specific heat at a constant pressure of an ideal gas is \(\dfrac{7}{2}R.\) The ratio of specific heat at constant pressure to that at constant volume is:
| 1. | \(\dfrac{7}{5}\) | 2. | \(\dfrac{8}{7}\) |
| 3. | \(\dfrac{5}{7}\) | 4. | \(\dfrac{9}{7}\) |
Subtopic: Â Molar Specific Heat |
 78%
From NCERT
AIPMT - 2006
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\(600~\text{J}\) of heat is added to a monoatomic gas in a process in which the gas performs a work of \(150~\text{J}\). The molar heat capacity for the process is:
1. \(3R\)
2. \(4R\)
3. \(2R\)
4. \(6R\)
1. \(3R\)
2. \(4R\)
3. \(2R\)
4. \(6R\)
Subtopic: Â Molar Specific Heat |
 50%
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