Question

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

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

Answer 1

The correct option is D

$5\times {10}^{6}N/m^2$

$PV=\frac{2}{3}EP=\frac{2}{3}\times \frac{1.5\times {10}^5}{20\times {10}^{-3}}=5\times {10}^{6}Pa$