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})$
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The average translational kinetic energy of ${O_2}$ (molar mass $32$) molecules at a particular temperature is $ 0.048\, eV.$ The translational kinetic energy of ${N_2}$ (molar mass $28$) molecules in $eV$ at the same temperature is
A cylinder contains $10\, kg$ of gas at pressure of ${10^7}\,\,N/{m^2}.$ The quantity of gas taken out of the cylinder, if final pressure is $2.5 \times {10^6}\,N/{m^2},$ will be ..... $kg$ (Temperature of gas is constant)
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 ....... $^oC$
Consider two ideal diatomic gases $\mathrm{A}$ and $\mathrm{B}$ at some temperature $T$. Molecules of the gas $A$ are rigid, and have a mass $m$. Molecules of the gas $\mathrm{B}$ have an additional vibrational mode, and have a mass $\frac{\mathrm{m}}{4} .$ The ratio of the specific heats $(\mathrm{C}_{\mathrm{v}}^{\mathrm{A}}$ and $\mathrm{C}_{\mathrm{v}}^{\mathrm{B}})$ of gas $\mathrm{A}$ and $\mathrm{B}$, respectively is
The root mean square speed of hydrogen molecules at $300$ $K$ is $1930\, m/s.$ Then the root mean square speed of oxygen molecules at $900\, K$ will be ....... $m/s$