Class 11PhysicsKinetic Theory of GasesMolar Specific Heat of gas and relation between them (Mayer's formula)
EasyWhich 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 $(C_V)$?
- A$C_P$ of hydrogen gas is $\frac{5}{2}R$
- B$C_V$ of hydrogen gas is $\frac{7}{2}R$
- C$H_2$ has very small values of $C_P$ and $C_V$
- D$C_P - C_V = 1.99 \, \text{cal/mol-K}$ for $H_2$
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Similar Questions
How can specific heat be predicted from the law of equipartition of energy?
Medium
View SolutionLet $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of a diatomic gas. Considering the diatomic gas molecule as a rigid rotator,the ratio $\frac{\gamma_1}{\gamma_2}$ is
$Assertion :$ The ratio of $\frac{C_p}{C_v}$ for an ideal diatomic gas is less than that for an ideal monoatomic gas (where $C_p$ and $C_v$ have usual meaning).
$Reason :$ The atoms of a monoatomic gas have less degrees of freedom as compared to molecules of the diatomic gas.
$Reason :$ The atoms of a monoatomic gas have less degrees of freedom as compared to molecules of the diatomic gas.
MediumAIIMS 2009
View Solution$A$ mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) is kept at room temperature $\left(27^{\circ} C\right)$. The ratio of the specific heat of these gases at constant volume is:
DifficultJEE MAIN 2024
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 | $IV$. $\frac{5}{3}$ |
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