The efficiency of a carnot engine is $0.6$.It rejects total $20 \ J$ of heat. The work done by the engine is   .... $J$

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

Three moles of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperature in different states are: $T_1 = 400\, K,\, T_2 = 800\, K,\, T_3 = 2400\, K$ and $T_4 = 1200\,K$ . The work done by the gas during the cycle is  .... $kJ$

A long cylindrical pipe of radius $20 \,cm$ is closed at its upper end and has an airtight piston of negligible mass as shown. When a $50 \,kg$ mass is attached to the other end of piston, it moves down by a distance $\Delta l$ before coming to equilibrium. Assuming air to be an ideal gas, $\Delta l / l$ (see figure) is close to $\left(g=10 \,m / s ^2\right.$, atmospheric pressure is $10^5 \,Pa$ ),

The heat energy absorbed by a system in going through a cyclic process shown in figure is

An ideal gas heat engine operates in Carnot's cycle between $227\,^oC$ and $127\,^oC$ . It absorbs $6.0 \times 10^4\,cal$ at higher temperature. The amount of heat converted into work is equal to