A flask contains argon and chlorine in the ratio of 2 : 1 by mass. The Temperature of the mixture is \(27^\circ C\). The…
A flask contains argon and chlorine in the ratio of 2 : 1 by mass. The Temperature of the mixture is \(27^\circ C\). The ratio of root mean square speed of the molecules of the two gases \(\left(\frac{{v}_{rms}^{Ar}}{{v}_{rms}^{Cl}}\right)\) is :
(Atomic mass of argon \(=40.0\mathrm{u}\) and molecular mass of chlorine = 70.0 u )
\(\frac{\sqrt{7}}{2}\)
As \({v}_{rms}=\sqrt{\frac{3RT}{{M}_{w}}}\)
Given temperature → constant
Then \(\mathrm{V}_{\mathrm{rms}} \propto \frac{1}{\sqrt{\mathrm{M_w}}}\)
\(\Rightarrow \frac{\mathrm{V}_{\mathrm{rms}}^{\mathrm{Ar}}}{\mathrm{~V}_{\mathrm{rms}}^{\mathrm{C}}}=\sqrt{\frac{\mathrm{M}_{\mathrm{wC}}}{\mathrm{M}_{\mathrm{wAr}}}}=\sqrt{\frac{70}{40}}=\frac{\sqrt{7}}{2}\)
Practice more NEET Physics PYQs
See every question on Kinetic Theory, or browse the full NEET question bank.
See all questions on Kinetic Theory →