When temperature of an ideal gas is increased from $27^\circ C$ to $227^\circ C$, its $r.m.s.$ speed changed from $400\, metre/sec$ to ${V_s}.$ The ${V_s}$ is ........ $metre/sec$
Medium
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
- 1Two gases-argon (atomic radius $0.07 \;\mathrm{nm}$,atomic weight $40$ ) and xenon (atomic radius $0.1\; \mathrm{nm},$ atomic weight $140$ ) have the same number density and are at the same temperature. The raito of their respective mean free times is closest toView Solution
- 2For a gas, the difference between the two specific heats is $4150\, J\, kg^{-1}\, K^{-1}$ and the ratio of the two specific heats is $1.4$. What is the specific heat of the gas at constant volume in units of $J\, kg^{-1}\, K^{-1}$ ?View Solution
- 3The respective speeds of the molecules are $1, 2, 3, 4$ and $5\, km/sec.$ The ratio of their $r.m.s. $ velocity and the average velocity will beView Solution
- 4In the two vessels of same volume, atomic hydrogen and helium at pressure $1\, atm$ and $2\, atm$ are filled. If temperature of both the samples is same, then average speed of hydrogen atoms $ < {C_H} > $ will be related to that of helium $ < {C_{He}} > $ asView Solution
- 5The kinetic energy of one gram molecule of a gas at normal temperature and pressure is $(R = 8.31\,J/mole - K)$View Solution
- 6View SolutionIncrease in temperature of a gas filled in a container would lead to
- 7One mole of a monoatomic ideal gas is expanded by a process described by $p V^3=C$, where $C$ is a constant. The heat capacity of the gas during the process is given by ( $R$ is the gas constant)View Solution
- 8A spherical bubble inside water has radius $R$. Take the pressure inside the bubble and the water pressure to be $p_0$. The bubble now gets compressed radially in an adiabatic manner so that its radius becomes $(R-a)$. For $a \ll R$ the magnitude of the work done in the process is given by $\left(4 \pi p_0 R a^2\right) X$, where $X$ is a constant and $\gamma=C_p / C_V=41 / 30$. The value of $X$ is. . . . . .View Solution
- 9A sealed container with negligible coefficient of volumetric expansion contains helium (a monoatomic gas). When it is heated from $300\, K$ to $600\, K,$ the average $K.E.$ of helium atoms isView Solution
- 10The number density of molecules of a gas depends on their distance $r$ from the origin as, $n\left( r \right) = {n_0}{e^{ - \alpha {r^4}}}$. Then the total number of molecules is proportional toView Solution