An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity $C$ remains constant. If during this process the relation of pressure $P$ and volume $V$ is given by $PV^n =$ constant, then n is given by (Here $C_p$ and $C_v$ are molar specific heat at constant pressure and constant volume, respectively) :
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A gas at ${27}^\circ C$ temperature and $30$ atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes $10$ times its initial volume, then the final temperature becomes ...... $^oC$
The $r.m.s.$ speed of the molecules of a gas at a pressure ${10^5}$ $Pa$ and temperature $0^\circ C$ is $0.5km\;{\sec ^{ - 1}}.$ If the pressure is kept constant but temperature is raised to $819°C,$ the velocity will become ........ $km\,sec^{-1}$
The temperature of the mixture of one mole of helium and one mole of hydrogen is increased from ${0^o}C$ to ${100^o}C$ at constant pressure. The amount of heat delivered will be ...... $cal$
The expansion of an ideal gas of mass $m$ at a constant pressure $P$ is given by the straight line $D$. Then the expansion of the same ideal gas of mass $2m$ at a pressure $P/ 2 $ is given by the straight line
Two ideal polyatomic gases at temperatures $T _{1}$ and $T _{2}$ are mixed so that there is no loss of energy. If $F _{1}$ and $F _{2}, m _{1}$ and $m _{2}, n _{1}$ and $n _{2}$ be the degrees of freedom, masses, number of molecules of the first and second gas respectively, the temperature of mixture of these two gases is