Question

The root mean square speed of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at $0^{\circ }C$ is 3180 metres/second. The pressure on the hydrogen gas is (Density of hydrogen gas is $8.99\times {10}^{-2}kg/m^3$, 1 atmosphere = ( $1.01\times {10}^{5}N/m^2$ )

• A. 1.0 atm
• B. 1.5 atm
• C. 2.0 atm
• D. 3.0 atm

Answer 1

The correct option is D

3.0 atm

$P=\frac{1}{3}\rho {\overline{c}}^2=\frac{1}{3}\times 8.99\times {10}^{-2}\times {3180}^{2}PinAtm=\frac{\frac{1}{3}\times 8.99\times {10}^{-2}\times {3180}^2}{1.01\times {10}^5}=3Atm$