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An ideal heat engine working between temperature $T_1$ and $T_2 $ has an efficiency $\eta$, the new efficiency if both the source and sink temperature are doubled, will be
A closed container is fully insulated from outside. One half of it is filled with an ideal gas $X$ separated by a plate Pfrom the other half $Y$ which contains a vacuum as shown in figure. When $P$ is removed, $X$ moves into $Y$. Which of the following statements is correct?
An ideal gas is taken through the cycle $A \to B \to C \to A$ , as shown in the figure. If the net heat supplied to the gas in the cycle is $5\ J$, the work done by the gas in the process $C \to A$ is .... $J$
One mole of an ideal gas at temperature $T_1$ expends according to the law $\frac{P}{{{V^2}}} =a$ (constant). The work done by the gas till temperature of gas becomes $T_2 $ is