An ideal refrigerator has a freezer at a temperature of $ - 13^\circ C.$ The coefficient of performance of the engine is $5.$ The temperature of the air (to which heat is rejected) will be
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A monoatomic gas $\left( {\gamma = \frac{5}{3}} \right)$ is suddenly compressed to $\frac{1}{8}$ of its original volume, then the pressure of gas will change to how many times the initial pressure?
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
The pressure of a gas changes linearly with volume from $A$ to $B$ as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be $............\,J$
One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where $V$ is the volume and $T$ is the temperature). Which of the statements below is (are) true?
(image)
$(A)$ Process $I$ is an isochoric process $(B)$ In process $II$, gas absorbs heat
$(C)$ In process $IV$, gas releases heat $(D)$ Processes $I$ and $III$ are $not$ isobaric
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