One mole of an ideal gas expands at a constant temperature of $300 \,K$ from an initial volume of $10\, litres$ to a final volume of $20\, litres$. The work done in expanding the gas is ...... $J.$ $(R = 8.31 J/mole-K)$
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Two moles of an ideal monoatomic gas occupies a volume $V$ at $27^o C$. The gas expands adiabatically to a volume $2\ V$. Calculate $(a)$ the final temperature of the gas and $(b)$ change in its internal energy.
An engineer claims to have made an engine delivering $10 kW$ power with fuel consumption of $1 g/sec$. The calorific value of the fuel is $2 kcal/g$. Is the claim of the engineer
In following figures $(a)$ to $(d)$, variation of volume by change of pressure is shown in figure. The gas is taken along the path $A B C D A$. Change in internal energy of the gas will be .......
The specific heat capacity of a metal at low temperature $(T)$ is given as $C_p=32\left(\frac{ T }{400}\right)^{3}\;kJ\,k ^{-1}\, kg ^{-1}$. A $100\; g$ vessel of this metal is to be cooled from $20 \;K$ to $4\; K$ by a special refrigerator operating at room temperature $27^\circ c$). The amount of work required to cool the vessel is