$1\,mole$ of a gas having $\gamma  = \frac {7}{5}$ is mixed with $1\,mole$ of a gas having $\gamma  = \frac {4}{3}$ . What will be the $\gamma $ for the mixture ?

A mixture of $2$ moles of helium gas (atomic mass = $4\ amu$) and $1$ mole of argon gas (atomic mass = $40\ amu$) is kept at $300\ K$ in a container. The ratio of the rms speeds $\left( {\,\,\,\frac{{{V_{rms}}({\rm{helium}})}}{{{V_{rms}}({\rm{argon}})}}\,\,\,} \right)\,\,$ is

At $0\,^oC,$ the value of the density of fixed mass of an ideal gas divided by its pressure is $x$ . At $100\,^oC$ this quotient is

Two containers of equal volume contain identical gases at pressures $P_1$ and $P_2$ and absolute temperatures, $T_1$ and $T_2$ respectively. The vessels are joined and  the gas reaches a common pressure $P$ and a common temperature $T$. Then

Pressure versus temperature graphs of an ideal gas are as shown in figure. Choose the wrong statement