An ideal gas heat engine operates in a Carnot's cycle between ${227^o}C$ and ${127^o}C$. It absorbs $6 × 10^4 \,J$ at high temperature. The amount of heat converted into work is ....

$5.6\, liter$ 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

When a system is taken from thermodynamic state $i$ to $f$ along the path $iaf$ (see figure), it is found that the heat $Q$ absorbed by the system is $50\ cal$ and work $W$ done by the system is equal to $20\ cal$ . Along the path ibf $Q = 36\ cal$ . What is $W$ along the path ibf?  ........... $\mathrm{cal}$

An ideal gas expands in such a way that $PV^2 =$ constant throughout the process

When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas, is

The efficiency of Carnot engine is $50\%$ and temperature of sink is $500\,K.$ If the temperature of source is kept constant and its efficiency is to be raised to $60\%$ then the required temperature of sink will be ........... $\mathrm{K}$