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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A Container having $1\ mole$ of a gas at a temperature $27\ ^oC$ has a movable piston which maintains at constant pressure in container of $1\ atm.$ The gas is compressed until temperature becomes $127^oC.$ The work done is ........ $J$ $(C_p\ for\ gas\ is\ 7.03\ cal/mol-K)$
The pressure and density of a diatomic gas $(\gamma = 7/5)$ change adiabatically from $(P, d)$ to $(P', d')$. If $\frac{{d'}}{d} = 32$, then $\frac{{P'}}{P}$ should be
An ideal gas heat engine operates in Carnot cycle between $227°C$ and $127°C.$ It absorbs $6 \times {10^4}$ cals of heat at higher temperature. Amount of heat converted to work is .........$ \times {10^4}\; cal$