The $P-V$ diagram of $2\,g$ of helium gas for a certain process $A\to B$ is shown in the figure. What is the heat given to the gas during the process $A \to B$?

$P-V$ plots for two gases during adiabatic process are shown in the figure. Plots $(1)$ and $(2)$ corresponds respectively to

Two cylinders $A $ and $B$ fitted with pistons contain equal amounts of an ideal diatomic gas at $300\ K.$ The piston of $A$ is free to move while that of $B$ is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in $A$ is $30\ K,$ then the rise in temperature of the gas in $B$ is  ....... $K$

In the indicator diagram (in figure), net amount of work done will be

An ideal gas heat engine operates in Carnot's cycle between $227\,^oC$ and $127\,^oC$ . It absorbs $6.0 \times 10^4\,cal$ at higher temperature. The amount of heat converted into work is equal to

$5.6\, liter$ of helium gas at $STP$ is adiabatically compressed to $0.7\, liter$. Taking the initial temperature to be $T_1$, the magnitude work done in the process is