A carnot engine working between $200 \mathrm{K}$ and $500 \mathrm{K}$ has a work output of $900 \mathrm{J}$ per cycle. The amount of heat energy supplied to the engine from the source in each cycle is

A system $\mathrm{X}$ is neither in thermal equilibrium with $\mathrm{Y}$ nor with $\mathrm{Z}$. The systems $\mathrm{Y}$ and $\mathrm{Z}$:

Consider the following thermodynamical variables
(i) Pressure
(ii) Internal Energy
(iii) Volume
(iv) Temperature

Out of these, the intensive variable(s) is (are)

Consider the given diagram. An ideal gas is contained in a chamber (left) of volume $V$ and is at an absolute temperature $T.$ It is allowed to rush freely into the right chamber of volume $V$ which is initially vacuum. The whole system is thermally isolated. What will be the final temperature, if the equilibrium has been attained?

A system is taken from state $i$ to state $f$via two different paths.

$i )$ Path $iaf$ with $Q=50 \mathrm{cal}$ and $W=20 \mathrm{cal}.$

$ii )$  Path $ibf, Q=36 \mathrm{cal}.$ 

Find the value of $W$ (in $\mathrm{cal}$) for the second path.