If the root mean square velocity of hydrogen molecule at a given temperature and pressure is $2 \mathrm{~km} / \mathrm{s}$, the root mean square velocity of oxygen at the same condition in $\mathrm{km} / \mathrm{s}$ is :
JEE MAIN 2024, Diffcult
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A $25\times10^{-3}\, m^3$ volume cylinder is filled with $1\, mol$ of $O_2$ gas at room temperature $(300\, K)$. The molecular diameter of $O_2$, and its root mean square speed, are found to be $0.3\, nm$ and $200\, m/s$, respectively. What is the average collision rate (per second) for an $O_2$ molecule?View Solution
- 2A $15\,g$ mass of nitrogen gas is enclosed in a vessel at a temperature $27\,^oC.$ Amount of heat transferred to the gas, so that rms velocity of molecules is doubled, is about ...... $kJ$ [Take $R = 8.3\,J/K\,mole$ ]View Solution
- 3For hydrogen gas ${C_p} - {C_v} = a$ and for oxygen gas ${C_p} - {C_v} = b$. So the relation between $a$ and $b$ is given byView Solution
- 4Let $\bar v,\;{v_{rms}}$ and ${v_p}$ respectively denote the mean speed, root mean square speed and most probable speed of the molecules in an ideal monoatomic gas at absolute temperature $T.$ The mass of a molecule is $m.$ ThenView Solution
- 5An ideal gas with heat capacity at constant volume $C_V$ undergoes a quasistatic process described by $p V^{\alpha}$ in a $p-V$ diagram, where $\alpha$ is a constant. The heat capacity of the gas during this process is given byView Solution
- 6The value of densities of two diatomic gases at constant temperature and pressure are ${d_1}$ and ${d_2}$, then the ratio of speed of sound in these gases will beView Solution
- 7If radius of $O _{2}$ molecule $=40 \mathring A, T =27^{\circ} C$ and $P =1 \,atm .$ Find the time of relaxation.View Solution
- 8View SolutionAn ideal gas is filled in a closed container and container is moving with uniform acceleration in horizontal direction. Neglect gravity. Pressure inside the container is ...............
- 9If pressure of $C{O_2}$ (real gas) in a container is given by $P = \frac{{RT}}{{2V - b}} - \frac{a}{{4{b^2}}}$ then mass of the gas in container is ...... $gm$View Solution
- 10In a vessel, the gas is at pressure $P_0$. If the mass of all the molecules is halved and their speed is doubled, then the resultant pressure will beView Solution