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One gm mol of a diatomic gas $(\gamma = 1.4)$ is compressed adiabatically so that its temperature rises from ${27^o}C$ to ${127^o}C$. The work done will be
During an adiabatic compression, $830\, J$ of work is done on $2\, moles$ of a diatomic ideal gas to reduce its volume by $50\%$. The change in its temperahture is nearly..... $K$ $(R\, = 8.3\, J\,K^{-1}\, mol^{-1} )$
A thermally insulated container is divided into two parts by a screen. In one part the pressure and temperature are $P$ and $T$ for an ideal gas filled. In the second part it is vacuum. If now a small hole is created in the screen, then the temperature of the gas will
Initial pressure and volume of a gas are $ P$ and $V$ respectively. First it is expanded isothermally to volume $4V$ and then compressed adiabatically to volume $ V$. The final pressure of gas will be
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
A gas undergoes a change of state during which $100 J$ of heat is supplied to it and it does $20 J$ of work. The system is brought back to its original state through a process during which $20 J$ of heat is released by the gas. The work done by the gas in the second process is ....... $J$