$A$ cylinder of capacity $20 \text{ litres}$ is filled with $H_2$ gas. The total average kinetic energy of translatory motion of its molecules is $1.5 \times 10^5 \text{ J}$. The pressure of hydrogen in the cylinder is

  • A
    $2 \times 10^6 \text{ N/m}^2$
  • B
    $3 \times 10^6 \text{ N/m}^2$
  • C
    $4 \times 10^6 \text{ N/m}^2$
  • D
    $5 \times 10^6 \text{ N/m}^2$

Explore More

Similar Questions

If the kinetic energy of a helium atom at temperature $T$ is $E$,then the Avogadro constant $N_A$ is given by:

$A$ container of volume $10^{-3} \ m^3$ contains $3.0 \times 10^{22}$ gas molecules,each having a mass of $5.3 \times 10^{-26} \ kg$. If the $rms$ speed of the molecules is $400 \ m/s$,calculate the pressure exerted by the gas.

Difficult
View Solution

Helium and argon are placed in a flask at the same room temperature $(300 \ K)$. What is the ratio of the average kinetic energies (per molecule) of helium and argon?

The kinetic energy of an ideal gas at $27^{\circ}C$ is $E_1$. If the temperature is increased to $327^{\circ}C$,what will be the new kinetic energy?

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

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo