A carnot engine working between $400\, K$ and $800 \,K$ has a work output of $1200\, J$ per cycle. What is the amount of heat energy supplied to the engine from source per  cycle   .... $J$ ?

An ieal heat engine operates on Carnot cycle between $227\,^oC$ and $127\,^oC$. It absorbs $6 \times 10^4\, cal$ at the higher temperature. The amount of heat converted into work equals to

In an adiabatic change, the pressure and temperature of a monoatomic gas are related as $P  \propto  T^C$, where $C$ equals

Gas obey $P^2V =$ constant. The initial temperature and volume are $T_0$ and $V_0$. If gas expands to volume $2V_0$, its final temperature becomes

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?  ........... $\mathrm{cal}$

The volume of a gas is reduced adiabatically to $(1/4)^{th}$ of its volume at $27\,^oC$ . If $\gamma = 1.4$ the new temperature is