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)
$\frac{8}{5}{P_0}A$
$\frac{2}{5}{P_0}A$
$\frac{5}{6}{P_0}A$
$\frac{6}{5}{P_0}A$
For two different gases $X$ and $Y$, having degrees of freedom $f_1$ and $f_2$ and molar heat capacities at constant volume $C_{V1}$ and $C_{V2}$ respectively, the ln $P$ versus ln $V$ graph is plotted for adiabatic process, as shown
During an adiabatic expansion of $2\, moles$ of a gas, the change in internal energy was found $-50J.$ The work done during the process is ...... $J$
A gas may expand either adiabatically or isothermally. A number of $P-V$ curves are drawn for the two processes over different range of pressure and volume. It will be found that
In Column$-I$ process and in Column$-II$ first law of thermodynamics are given. Match them appropriately :
Column$-I$ | Column$-II$ |
$(a)$ Adiabatic | $(i)$ $\Delta Q = \Delta U$ |
$(b)$ Isothermal | $(ii)$ $\Delta Q = \Delta W$ |
$(iii)$ $\Delta U = -\Delta W$ |
At $N.T.P.$ one mole of diatomic gas is compressed adiabatically to half of its volume $\gamma = 1.41$. The work done on gas will be ....... $J$