Class 11PhysicsKinetic Theory of GasesMolar Specific Heat of gas and relation between them (Mayer's formula)
MediumThe molar specific heat of an ideal gas at constant pressure and constant volume is $C_{p}$ and $C_{v}$ respectively. If $R$ is the universal gas constant and $\gamma = \frac{C_p}{C_v}$,then $C_v =$
- A$\frac{1-\gamma}{1+\gamma}$
- B$\frac{1+\gamma}{1-\gamma}$
- C$\frac{\gamma-1}{R}$
- D$\frac{R}{\gamma-1}$
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Similar Questions
The molar specific heats of an ideal gas at constant pressure and constant volume are denoted by $C_P$ and $C_V$ respectively. If $\gamma = C_P/C_V$ and $R$ is the universal gas constant,then $C_V = $ ........
Medium
View SolutionIf the molar specific heat at constant volume is $\frac{3R}{2}$,then the adiabatic index $\gamma$ is:
Easy
View SolutionThe ratio of specific heats $(\gamma)$ of an ideal gas is given by
Medium
View SolutionMatch the $\frac{C_{P}}{C_{v}}$ ratio for ideal gases with different types of molecules:
Molecule type $\frac{C_{P}}{C_{v}}$ $A$. Monoatomic $I$. $\frac{7}{5}$ $B$. Diatomic rigid molecules $II$. $\frac{9}{7}$ $C$. Diatomic non-rigid molecules $III$. $\frac{4}{3}$ $D$. Triatomic rigid molecules $IV$. $\frac{5}{3}$
| Molecule type | $\frac{C_{P}}{C_{v}}$ |
|---|---|
| $A$. Monoatomic | $I$. $\frac{7}{5}$ |
| $B$. Diatomic rigid molecules | $II$. $\frac{9}{7}$ |
| $C$. Diatomic non-rigid molecules | $III$. $\frac{4}{3}$ |
| $D$. Triatomic rigid molecules | $IV$. $\frac{5}{3}$ |
If $C_P$ and $C_V$ are the specific heats of unit mass of nitrogen at constant pressure and constant volume respectively,then:
Medium
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