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Two different adiabatic paths for the same gas intersect two isothermal curves as shown in$P-V$ diagram. The relation between the ratio $\frac{V_a}{V_d}$ and the ratio $\frac{V_b}{V_c}$ is:
Unit mass of a liquid with volume ${V_1}$ is completely changed into a gas of volume ${V_2}$ at a constant external pressure $P$ and temperature $T.$ If the latent heat of evaporation for the given mass is $L,$ then the increase in the internal energy of the system is
One mole of a monatomic ideal gas undergoes an adiabatic expansion in which its volume becomes eight times its initial value. If the initial temperature of the gas is $100 K$ and the universal gas constant $R =8.0 Jmol ^{-1} K ^{-1}$, the decrease in its internal energy, in Joule, is. . . . .
When $1\, kg$ of ice at $0^o C$ melts to water at $0^o C,$ the resulting change in its entropy, taking latent heat of ice to be $80\, cal/gm,$ is ...... $cal/K$
A real gas within a closed chamber at $27^{\circ} \mathrm{C}$ undergoes the cyclic process as shown in figure. The gas obeys $P V^3=\mathrm{RT}$ equation for the path $A$ to $B$. The net work done in the complete cycle is (assuming $R=8 \mathrm{~J} / \mathrm{molK}$ ):
Volume versus temperature graph of two moles of helium gas is as shown in figure. The ratio of heat absorbed and the work done by the gas in process $1-2$ is
In a heat engine, the temperature of the source and sink are $500\, K$ and $375\, K$. If the engine consumes $25\times10^5\, J$ per cycle, the work done per cycle is