An ideal gas is enclosed in a cylinder at pressure of $2\,atm$ and temperature, $300\,K.$ The mean time between two successive collisions is $6 \times 10^{-8}\, s.$ If the pressure is doubled and temperature is increased to $500\,K,$ the mean time between two successive collisions will be close to
JEE MAIN 2019, 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
- 1One litre of Helium gas at a pressure $76\, cm$ of $Hg$ and temperature ${27}^\circ$ is heated till its pressure and volume are doubled. The final temperature attained by the gas is ..... $^oC$View Solution
- 2The kinetic energy of one mole gas at $300K$ temperature, is $E.$ At $400K$ temperature kinetic energy is $E'.$ The value of $E'/E$ isView Solution
- 3$2\, moles$ of helium gas is mixed with $3\, moles$ of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume ....... $J/mol\, K$ ? $(R = 8.3\, J/mol\, K)$View Solution
- 4A container is divided into two equal parts $I$ and $II$ by a partition with a small hole of diameter $d$. The two partitions are filled with same ideal gas, but held at temperatures $T_{ I }=150 \,K$ and $T_{ II }=300 \,K$ by connecting to heat reservoirs. Let $\lambda_{1}$ and $\lambda_{1 I}$ be the mean free paths of the gas particles in the two parts, such that $d >> \lambda_{ I }$ and $d >> \lambda_{ II }$. Then, the $\lambda_{ I } / \lambda_{ II }$ is close toView Solution
- 5View SolutionWhich of the following formulae is wrong
- 6A vessel is filled with an ideal gas at a pressure of $10$ atmospheres and temperature ${27}^\circ C$. Half of the mass of the gas is removed from the vessel and temperature of the remaining gas is increased to ${87}^\circ C$. Then the pressure of the gas in the vessel will be ...... $atm$View Solution
- 7The rms speed of oxygen molecule in a vessel at particular temperature is $\left(1+\frac{5}{x}\right)^{\frac{1}{2}} v$, where $v$ is the average speed of the molecule. The value of $x$ will be:(Take $\pi=\frac{22}{7}$ )View Solution
- 8A mixture of ideal gases has $2$ moles of He, $4$ moles of oxygen and $1$ mole of ozone at absolute temperature $T$. The internal energy of mixture is ............. $RT$View Solution
- 9View SolutionThe number of translational degrees of freedom for a diatomic gas is
- 10Nitrogen gas is filled in an insulated container. If $\alpha$ fraction of moles dissociates without exchange of any energy, then the fractional change in its temperature is ..............View Solution