Easy
The 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 the ratio of $C_p$ to $C_v$ is $\gamma$,then $C_v$ is equal to:
- A$\frac{\gamma-1}{R}$
- B$\frac{1-\gamma}{1+\gamma}$
- C$\frac{1+\gamma}{1-\gamma}$
- D$\frac{R}{\gamma-1}$
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Similar Questions
Match 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 | $IV$. $\frac{5}{3}$ |
Which of the following statements is correct regarding the molar specific heat of $1$ mole of an ideal gas at constant pressure $(C_P)$ and constant volume $(C_V)$?
Easy
View SolutionFor a monoatomic ideal gas,the universal gas constant $R$ is $n$ times the molar heat capacity at constant pressure $C_P$. Here,$n$ is ......
Easy
View SolutionWhich of the following statements is correct?
Medium
View Solution$C_v$ and $C_p$ denote the molar specific heat capacities of a gas at constant volume and constant pressure,respectively. Then
Difficult
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