Number of molecules in a volume of $4\; cm^{3}$ of a perfect monoatomic gas at some temperature $T$ and at pressure of $2\: cm$ of mercury is close to ?(Given, mean kinetic energy of a molecule (at $T$) is $4\times 10^{-14}erg, \; g=980cm/s^{2},$ density of mercury $=13.6\; g/cm^{3}$) Option: 1   Option: 2 Option: 3 Option: 4

$\begin{array}{l} \mathrm{n}=\frac{\mathrm{PV}}{\mathrm{RT}}, \frac{3}{2} \mathrm{kT}=4 \times 10^{-14} \\ \\ \mathrm{~N}=\frac{\mathrm{PV}}{\mathrm{RT}} \times \mathrm{Na} \\\\ =\frac{2 \times 13.6 \times 980 \times 4}{\frac{8}{3} \times 10^{-14}}=3.99 \times 10^{18} \approx 4 \times 10^{18} \end{array}$

Most Viewed Questions

Preparation Products

Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
Knockout JEE Main May 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 14999/-