A Carnot engine operating between temperatures $T_1$ and $T_2$ has efficientcy $\frac{1}{6}$ . When $T_2$ is lowered by $62\,K$, its efficiency increases to $\frac{1}{3}$ . Then $T_1$ and $T_2$ are, respectively
$330\, K$ and $268\, K$
$310\, K$ and $248\, K$
$372\, K$ and $310\, K$
$372\, K$ and $330\, K$
For free expansion of a gas, which is true
An ideal 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
$P-V$ plots for two gases during adiabatic process are shown in the figure. Plots $(1)$ and $(2)$ corresponds respectively to
During an adiabatic process the pressure of the gas is found to be proportional to the cube of the absolute temperature. The ratio $C_P/C_V = \gamma $ for the gas is
An engine is supposed to operate between two reservoirs at temperature $727^oC$ and $227^oC.$ The maximum possible efficiency of such an engine is