A gas for which $\gamma = 1.5$ is suddenly compressed to $\frac{1}{4}$ th of the initial volume. Then the ratio of the final to the initial pressure is
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In a cyclic process, a gas is taken from state $A$ to $B$ via path $-I$ as shown in the indicator diagram and taken back to state $A$ from state $B$ via path $-II$ . In the complete cycle
$5.6$ $liter$ of helium gas at $STP$ is adiabatically compressed to $0.7$ $liter$. Taking the initial temperature to be $T_1$, the work done in the process is
In the figure shown, amount of heat supplied to one mole of an ideal gas is plotted on the horizontal axis and amount of work done by gas is drawn on vertical axis. Assuming process be isobaric i.e. gas can be
An ideal Carnot heat engine with an efficiency of $30\%$.It absorbs heat from a hot reservoir at $727^o C$. The temperature of the cold reservoir is .... $^oC$