A monoatomic ideal gas undergoes a process given by the equation: \({\dfrac{pT}{V}}=\text{constant.}\) The molar specific heat capacity in the process equals:
1. \({\dfrac{3}{2}}R\)
2. \({\dfrac{5}{2}}R\)
3. \({\dfrac{1}{2}}R\)
4. zero
Subtopic:  Molar Specific Heat |
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The molar specific heat (at constant volume) of a monoatomic ideal gas is \(C_v={\Large\frac32}R\) while that of a diatomic ideal gas is \(C_v={\Large\frac52}R,\) where \(R\) is the universal gas constant. The molar specific heat (at constant pressure) of an equimolar mixture of the two will be:
1. \(\dfrac{1}{2}\left ( \dfrac{3}{2}R+\dfrac{5}{2}R \right )\)
2. \(\left(\dfrac23+\dfrac25\right)^{-1}R\)
3. \(3R\)
4. \(\dfrac{8}{15}R\)
Subtopic:  Molar Specific Heat |
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Two gases having molar specific heats \(C_{P_{\large1}}\) & \(C_{P_{\large2}}\) are mixed in the molar ratio \(1:1.\) The molar specific heat of the mixture will be \(C_{P},\) where \(C_{P}=\)
1. \(\dfrac{C_{P_{\large1}}+C_{P_{\large2}}}{2}\)    2. \(\dfrac{C^2_{P_{\large1}}+C^2_{P_{\large2}}}{C_{P_{\large1}}+C_{P_{\large2}}}\)   
3. \(\sqrt{C_{P_{\large1}}\cdot C_{P_{\large2}}}\) 4. \(\dfrac{2C_{P_{\large1}}\cdot C_{P_{\large2}}}{C_{P_{\large1}}+C_{P_{\large2}}}\)
Subtopic:  Molar Specific Heat |
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Given below are two statements: 
Assertion (A): The molar specific heat of water increases when it turns into steam at \(100^\circ\text C,\) under normal atmospheric pressure.
Reason (R): Heat must be supplied to water at \(100^\circ\text C\) in order to convert it into steam at \(100^\circ\text C:\) this is referred to as the latent heat of vaporisation.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Molar Specific Heat |
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