$A$ diatomic gas $\left(\gamma = \frac{7}{5}\right)$ is compressed adiabatically to volume $\frac{V_0}{32}$,where $V_0$ is its initial volume. The initial temperature of the gas is $T_i$ in Kelvin and the final temperature is $xT_i$ in Kelvin. The value of $x$ is:

In a thermodynamic process,there is no exchange of heat between the system and surroundings. Then the thermodynamic process is

In an adiabatic change,the pressure and temperature of a monoatomic gas are related by the relation $p \propto T^{C}$,where $C$ is equal to

$A$ certain volume of a gas at $300 \ K$ expands adiabatically until its volume is doubled. The resultant fall in temperature of the gas is nearly (The ratio of the specific heats of the gas $\gamma = 1.5$) (in $K$)

Which of the following is the best container for a gas during an adiabatic process?

The pressure $P_{1}$ and density $d_{1}$ of a diatomic gas $\left(\gamma = \frac{7}{5}\right)$ change suddenly to $P_{2} (> P_{1})$ and $d_{2}$ respectively during an adiabatic process. The temperature of the gas increases and becomes $......$ times its initial temperature. (Given $\frac{d_{2}}{d_{1}} = 32$)