The specific heat at constant pressure and at constant volume for an ideal gas are $C_p$ and $C_v$,and its adiabatic and isothermal elasticities are $E_{\phi}$ and $E_{\theta}$ respectively. The ratio of $E_{\phi}$ to $E_{\theta}$ is

When $300 \ J$ of heat is given to an ideal gas with $C_{p} = \frac{7}{2} R$, its temperature rises from $20^{\circ}C$ to $50^{\circ}C$ while keeping its volume constant. The mass of the gas is (approximately) . . . . . . g. (Assume the molar mass of the gas is $28 \ g/mol$ and $R = 8.314 \ J/mol \cdot K$).

The specific heat of helium at constant volume is $12.6 \ J \ mol^{-1} \ K^{-1}$. The specific heat of helium at constant pressure in $J \ mol^{-1} \ K^{-1}$ is about (Assume the temperature of the gas is moderate,universal gas constant,$R=8.314 \ J \ mol^{-1} \ K^{-1}$)

The ratio of the molar specific heat capacities of monatomic and diatomic gases at constant pressure is (in $: 7$)

Write the value of $\frac{C_P}{C_V}$ for a monoatomic gas.

For hydrogen gas,$C_P - C_V = a$,and for oxygen gas,$C_P - C_V = b$. The relationship between $a$ and $b$ is given by: (where $C_P$ and $C_V$ are molar specific heats at constant pressure and constant volume,respectively.)