A monoatomic gas is supplied heat $Q$ very slowly keeping the pressure constant. The work done by the gas will be
$\frac{2}{3}\,Q$
$\frac{3}{4}\,Q$
$\frac{2}{5}\,Q$
$\frac{3}{5}\,Q$
Pressure-temperature relationship for an ideal gas undergoing adiabatic change is $\left( {\gamma = {C_p}/{C_v}} \right)$
An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity $C$ remains constant. If during this process the relation of pressure $P$ and volume $V$ is given by $PV^n = $ constant, then $n$ is given by (Here $C_P$ and $C_V$ are molar specific heat at constant pressure and constant volume, respectively)
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 the sink will be........ $K$
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 .... $J$ ?
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio ${C_p}/{C_v}$ for the gas is