Embibe Experts Solutions for Exercise 4: Assignment

$50 \mathrm{cal}$ of heat is required to raise the temperature of $1 \mathrm{mole}$ of an ideal gas from $20°\mathrm{C}$ to $25°\mathrm{C},$ while the pressure of the gas is kept constant. The amount of heat required to raise the temperature of the same gas through same temperature range at constant volume is $\left(R=2 \mathrm{cal} \mathrm{mol} {\mathrm{K}}^{-1}\right)$

If hydrogen gas is heated to a very high temperature, then the fraction of energy possessed by gas molecules correspond to rotational motion

If $\mathrm{\alpha }$ moles of a monoatomic gas are mixed with $\mathrm{\beta }$ moles of a polyatomic gas and mixture behaves like diatomic gas, then [neglect the vibrational mode of freedom]

The internal energy of $10 \mathrm{g}$ of nitrogen at $N.T.P.$ is about, $(R=8.31 \mathrm{J} {\mathrm{K}}^{-1})$. 

The mean free path of a molecule of $\mathrm{He}$ gas is $\mathrm{\alpha }.$ Its mean free path along any arbitrary coordinate axis will be

To find out degree of freedom, the expression is

A diatomic gas of molecular mass $40 \mathrm{g} {\mathrm{mol}}^{-1}$ is filled in a rigid container at temperature $30°\mathrm{C}.$ It is moving with velocity $200 {\mathrm{ms}}^{-1}.$ If it is suddenly stopped, the rise in the temperature of the gas is

The ratio of average translatory kinetic energy of He gas molecules to ${\mathrm{O}}_2$ gas molecules is