In a thermodynamics process, pressure of a fixed mass of a gas is changed in such a manner that the gas releases $20 J$ of heat and $8J$ of work is done on the gas. If the initial internal energy of the gas was $30J.$ The final internal energy will be ...... $J$
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One mole of diatomic ideal gas undergoes a cyclic process $ABC$ as shown in figure. The process $BC$ is adiabatic. The temperatures at $A, B$ and $C$ are $400\,K, 800\,K$ and $600\,K$ respectively. Choose the correct statement
In an adiabatic process, the density of a diatomic gas becomes $32$ times its initial value. The final pressure of the gas is found to be $n$ times the initial pressure. The value of $n$ is
Two identical containers $A$ and $B$ with frictionless pistons contain the same ideal gas at the same temperature and the same volume $V$. The mass of the gas in $A$ is ${m_A}$ and that in $B$ is ${m_B}$. The gas in each cylinder is now allowed to expand isothermally to the same final volume $2V$. The changes in the pressure in $A$ and $B$ are found to be $\Delta P$ and $1.5 \Delta P$ respectively. Then
$2$ moles of a monoatomic gas are expanded to double its initial volume, through a process $P/V =$ constant. If its initial temperature is $300\,\, K$, then which of the following is not true.
The work of $146\,kJ$ is performed in order to compress one kilo mole of a gas adiabatically and in this process the temperature of the gas increases by $7\,^oC$ . The gas is $(R = 8.3\, J\, mol^{-1}\, K^{-1})$
A Carnot engine operating between two reservoirs has efficiency $\frac{1}{3}$. When the temperature of cold reservoir raised by $x$, its efficiency decreases to $\frac{1}{6}$. The value of $x$, if the temperature of hot reservoir is $99^{\circ}\,C$, will be $........\,K$
An ideal gas at pressure $P$ and volume $V$ is expanded to volume$ 2V.$ Column $I$ represents the thermodynamic processes used during expansion. Column $II$ represents the work during these processes in the random order.: