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 m/s. 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. 0.1 atm
• B. 1.5 atm
• C. 2.0 atm
• D. 3.0 atm

Answer 1

The correct option is D 3.0 atm

As P$\frac{1}{3}\rho {\nu }_{mu}^2=\frac{1}{3}(8.99\times {10}^{-2})\times (3180{)}^2=3.03\times {10}^{5}N/m^2=3.0atm$