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One mole of ${O_2}$ gas having a volume equal to $22.4$ litres at ${0^o}C$ and $1$ atmospheric pressure in compressed isothermally so that its volume reduces to $11.2$ litres. The work done in this process is ...... $J$
The $P-V$ diagram of $2$ gm 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 $A \to B$
The efficiency of carnot engine is $50\%$ and temperature of sink is $500\,K$ . If temperature of source is kept constant and its efficiency raised to $60\%$ , then the required temperature of the sink will be .... $K$
In the diagrams $(i)$ to $(iv)$ of variation of volume with changing pressure is shown. A gas is taken along the path $ABCD. $ The change in internal energy of the gas will be
An ideal gas undergoes an adiabatic process obeying the relation $PV^{4/3} =$ constant. If its initial temperature is $300\,\, K$ and then its pressure is increased upto four times its initial value, then the final temperature is (in Kelvin):
An engineer claims to have made an engine delivering $10 kW$ power with fuel consumption of $1\,g\,{s^{ - 1}}$. The calorific value of fuel is $2k cal/g$. His claim
A closed vessel contains $0.1$ mole of a monoatomic ideal gas at $200\, K$. If $0.05$ mole of the same gas at $400\, K$ is added to it, the final equilibrium temperature (in $K$ ) of the gas in the vessel will be closed to