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A gas consisting of a rigid diatomic molecules was initially under standard condition. Then, gas was compressed adiabatically to one$-$fifth of its initial volume. What will be the mean kinetic energy of a rotating molecule in the final state ?
The molecular weights of $O_2$ and $N_2$ are $32$ and $28$ respectively. At $15°C,$ the pressure of $1 \,gm$ $O_2$ will be the same as that of $1 \,gm$ $N_2$ in the same bottle at the temperature ...... $^oC$
The equation of state for $5 \,g$ of oxygen at a pressure $P $ and temperature $T,$ when occupying a volume $V,$ will be (Where $R$ is the gas constant)
The root mean square speed of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at $0°C$ is $3180$ metres/second. The pressure on the hydrogen gas is ..... $atm$ (Density of hydrogen gas is $8.99 \times {10^{ - 2}}\,kg/{m^3}$, $1$ atmosphere $ = 1.01 \times {10^5}\,N/{m^2})$
If the collision frequency of hydrogen molecules in a closed chamber at $27^{\circ} \mathrm{C}$ is $\mathrm{Z}$, then the collision frequency of the same system at $127^{\circ} \mathrm{C}$ is :
A mixture of hydrogen and oxygen has volume $2000 \; cm ^{3}$, temperature $300 \; K$, pressure $100 \; kPa$ and mass $0.76 \; g$ The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be