A thermally insulated vessel contains an ideal gas of molecular mass $M$ and ratio of specific heats $\gamma$. It is moving with speed $v$ and is suddenly broght to rest. Assuming no heat is lost to the surroundings, its temperature increases by

A pressure $P-$ absolute temperature $T$ diagram was obtained when a given mass of gas was heated. During the heating process form the state $1$ to state $2$ the volume

A fix amount of nitrogen gas ($1$ mole) is taken and is subjected to pressure and temperature variation. The experiment is performed at high pressure as well as high temperatures. The results obtained are shown in the figures. The correct variation of $PV/RT$ with $P$ will be exhibited by

A gas at $27\,^oC$ has a volume $V$ and pressure $P$. On heating its pressure is doubled and volume becomes three times. The resulting temperature of the gas will be …… $^oC$

An open and wide glass tube is immersed vertically in mercury in such a way that length $0.05\,\, m$ extends above mercury level. The open end of the tube is closed and the tube is raised further by $0.43 \,\,m$. The length of air column above mercury level in the tube will be …… $m$ Take $P_{atm} = 76 \,\,cm$ of mercury