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Consider the given series combination of carnot cycles. If $W_1 = W_2$ then the value of $T$ is ...... $K$ (all temperatures are maintained at their respective values)
A thin piece of thermal conductor of constant thermal conductivity insulated on the lateral sides connects two reservoirs which are maintained at temperatures $T_{1}$ and $T_{2}$ as shown in the figure alongside. Assuming that the system is in steady state, which of the following plots best represents the dependence of the rate of change of entropy on the ratio of $T_{1} / T_{2}$ ?
A closed vessel contains $0.1$ mole of a monoatomic ideal gas at $200\, K$. If $0.05$ mole of the same gas at $400\, K$ is added to it, the final equilibrium temperature (in $K$ ) of the gas in the vessel will be closed to
$Q$ amount of heat is given to $0.5\ mole$ of an ide al mono-atomic gas by a process $TV^n$ constant. Following graph shows variation of temperature with $Q$ . Find value of $n$.
A total of $48 \mathrm{~J}$ heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by $2^{\circ} \mathrm{C}$. The work done by the gas is : (Given, $\mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$.)