Question

The root mean square speed of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0⁰C 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

Answer: (D)

3.0 atm

Answer 2

As $P = \frac{1}{3}\rho v_{\text{rms}}^{2} = \frac{1}{3}(8.99 \times 10^{- 2}) \times (3180)^{2} = 3.03 \times 10^{5}N ⥂ / ⥂ m^{2} = 3.0atm$