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The air density at Mount Everest is less than that at the sea level. It is found by mountaineers that for one trip lasting a few hours, the extra oxygen needed by them corresponds to $30,000\ cc$ at sea level (pressure $1$ atmosphere, temperature $27^oC).$ Assuming that the temperature around Mount Everest is $-73^oC$ and that the oxygen cylinder has capacity of $5.2\ litre,$ the pressure at which $O_2$ be filled (at site) in cylinder is ..... $atm$
Gas at a pressure ${P_0}$ in contained is a vessel. If the masses of all the molecules are halved and their speeds are doubled, the resulting pressure $P$ will be equal to
A balloon contains $1500 \,m^3$ of helium at $27^\circ C$ and $4$ atmospheric pressure. The value of helium at $ - \,3^\circ C$ temperature and $2$ atmospheric pressure will be ...... $m^3$
One litre of oxygen at a pressure of $1\, atm$ and two litres of nitrogen at a pressure of $0.5\, atm$ are introduced into a vessel of volume $1L$. If there is no change in temperature, the final pressure of the mixture of gas (in $atm$) is
A given sample of an ideal gas occupies a volume $V$ at a pressure $P$ and absolute temperature $T.$ The mass of each molecule of the gas is $m.$ Which of the following gives the density of the gas $?$
Nitrogen gas $N _2$ of mass $28 \,g$ is kept in a vessel at pressure of $10 \,atm$ and temperature $57^{\circ} C$. Due to leakage of $N _2$ gas its pressure falls to $5 \,atm$ and temperature to $27^{\circ} C$. The amount of $N _2$ gas leaked out is .......... $g$
In a thermally isolated system, two boxes filled with an ideal gas are connected by a valve. When the valve is in closed position, states of the box $1$ and $2$ respectively, are ( $1 \,atm , V, T)$ and $(0.5 \,atm , 4 V, T)$. When the valve is opened, then the final pressure of the system is approximately ............... $atm$