$3\, \text{moles}$ of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperatures in different states are: $T_1 = 400\, K$, $T_2 = 800\, K$, $T_3 = 2400\, K$ and $T_4 = 1200\, K$. The work done by the gas during the cycle is ...... $kJ$.

Calculate the heat given to the gas during the cyclic process $ABA$ shown in the figure (in $J$).

An ideal gas is taken through a quasi-static process described by $P = \alpha V^2$,where $\alpha = 5 \text{ atm}/m^6$. The gas is expanded to twice its original volume of $1 \text{ m}^3$. How much work is done by the expanding gas in this process?

$A$ cyclic process for $1 \, \text{mole}$ of an ideal gas is shown in the figure in the $V-T$ diagram. The work done in $AB$, $BC$, and $CA$ respectively is:

The $P-V$ diagram shows a cyclic process for a thermodynamic engine containing a monoatomic ideal gas. The energy absorbed from the heat source during one complete cycle is .......

$A$ gas takes part in two processes in which it is heated from the same initial state $1$ to the same final temperature. The processes are shown on the $P-V$ diagram by the straight lines $1-2$ and $1-3$. Points $2$ and $3$ lie on the same isothermal curve. If $Q_1$ and $Q_2$ are the heat transferred along the two processes,then: