Figure shows a cylindrical adiabatic container of total volume $2V_0$ divided into two equal parts by a conducting piston (which is free to move). Each part containing identical gas at pressure $P_0$ . Initially temperature of left and right part is $4T_0$ and $T_0$ respectively. An external force is applied on the piston to keep the piston at rest. Find the value of external force required when thermal equilibrium is reached. ( $A =$ Area of piston)

817-724

  • A

    $\frac{8}{5}{P_0}A$

  • B

    $\frac{2}{5}{P_0}A$

  • C

    $\frac{5}{6}{P_0}A$

  • D

    $\frac{6}{5}{P_0}A$

Similar Questions

$Assertion :$ Adiabatic expansion is always accompanied by fall in temperature.
$Reason :$ In adiabatic process, volume is inversely proportional to temperature.

  • [AIIMS 2014]

The work of $146\,kJ$ is performed in order to compress one kilo mole of a gas adiabatically and in this process the temperature of the gas increases by $7\,^oC$ . The gas is $(R = 8.3\, J\, mol^{-1}\, K^{-1})$

Initial pressure and volume of a gas are $P$ and $V$ respectively. First it is expanded isothermally to volume $4V$ and then compressed adiabatically to volume $V$ . The final pressure of gas will be (given $\gamma = 3/2$ ) 

A cycle tyre bursts suddenly. This represents an

The pressure and density of a diatomic gas $\gamma  = 7/5$ change adiabatically from $(P, d)$ to $(P', d').$ If $\frac{{d'}}{d} = 32,$ then $\frac{{P'}}{P}$should be