Two cylinders of equal size are filled with equal amount of ideal diatomic gas at room temperature. Both the cylinders are fitted with pistons. In cylinder A the piston is free to move while in $B$ position is fixed. When same amount of heat is supplied to both the cylinders, the temperature of the gas cylinder $A$ raises by $30\, K$. What will be the rise in temperature of the gas in cylinder $B.$
$42\;K$
$30\;K$
$20\;K$
$56\;K$
Two rigid boxes containing different ideal gases are placed on a table. Box $A$ contains one mole of nitrogen at temperature $T_0$ , while box $B$ contains one mole of helium at temperature $(7/3)\, T_0$ . The boxes are then put into thermal contact with each other, and heat flows between them until the gases reach a common final temperature (ignore the heat capacity of boxes), then the final temperature of gases $T_f$ , in terms of $T_0$ is
$P-V$ plots for two gases during adiabatic process are shown in the figure. Plots $(1)$ and $(2)$ corresponds respectively to
An ideal gas is expanding such that $PT^2$ = constant. The coefficient of volume expansion of the gas is :-
A motor-car tyre has a pressure of $2\,atm$ at $27\,^oC$. It suddenly bursts. If $\left( {\frac{{{C_p}}}{{{C_v}}} = 1.4} \right)$ for air, find resulting temp
A thermodynamic system undergoes cyclic process $ABCDA $ as shown in figure. The work done by the system in the cycle is