A mixture of 2, moles of helium gas (atomic mass = 4, amu ) and 1, mole of argon gas (atomic mass =

English

Gujarati

Hindi

12.Kinetic Theory of Gases

normal

A mixture of $2\, moles$ of helium gas (atomic mass $= 4\, amu$) and $1\, mole$ of argon gas (atomic mass $= 40\, amu$) is kept at $300\, K$ in a container. The ratio of the $r.m.s.$ speeds $\left( {\frac{{{v_{rms\,}}{\rm{(helium)}}\,}}{{{v_{rms}}\,{\rm{(argon)}}}}} \right)$ is

A

$0.32$

B

$0.45$

C

$2.24$

D

$3.16$

Solution

$\mathrm{v}_{\mathrm{ms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}$

Ratio $=\sqrt{\frac{\mathrm{M}_{\mathrm{ar}}}{\mathrm{M}_{\mathrm{He}}}}=\sqrt{10}$

Standard 11

Physics

Share

Similar Questions

The amount of heat energy required to raise the temperature of $1\, g$ of helium from $T_1\,K$ to $T_2K$ is

normal

A closed vessel contains $8\,gm$ of oxygen and $7\,gm$ of nitrogen. The total pressure is $10\,atm$ at the given temperature. If all the oxygen is removed from the system without permitting any change in temperature, then the pressure will become (in atmosphere)

normal

A resistance coil connected to an external battery is placed inside an adiabatic cylinder fitted with a frictionless pistn and containing an ideal gas. A current $i$ flows through the coil which has a resistance $R$. At what speed must the piston move upward in order that the temperature of the gas remains uchanged? Neglect atmospheric pressure.

medium

An ideal gas follows a process $PT =$ constant. The correct graph between pressure & volume is

normal

If $C_p$ and $C_v$ denote the specific heat of nitrogen at constant pressure and constant volume respectiely, then

normal