In a thermally isolated system, two boxes filled with an ideal gas are connected by a valve. When the valve is in closed position, states of the box $1$ and $2$ respectively, are ( $1 \,atm , V, T)$ and $(0.5 \,atm , 4 V, T)$. When the valve is opened, then the final pressure of the system is approximately …………… $atm$

Two gases$A$ and $B$ are contained in the same vessel which is at temperature $T$. The number of molecular of gas $A$ is $N$ and mass of each molecule is $m$. The number of molecules of gas $B$ is $2\ N$ and mass of its each molecules is $2\ m$. If mean square velocity of $x$ of gas $B$ is $v^2$ and mean square velocity of $x$ component of velocity of molecules of gas $A$ is $u_x^2$ then ${{u_x^2}}/{{{v^2}}}$  is

A gaseous mixture consists of $16\ g$ of helium and $16\ gm$ of hydrogen. The ratio $\frac{{{C_p}}}{{{C_v}}}$ of the mixture is

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

If a gas has $n$ degrees of freedom ratio of specific heats of gas is