Question

At a pressure of $24\times {10}^5$ dyne/$c{m}^2$, the volume of $O_2$ is 10 litre and mass is 20gm. The r.m.s. velocity will be

• A. 800 cm/sec
• B. 400 cm/sec
• C. 600 cm/sec
• D. Data is incomplete

Answer 1

The correct option is C

600 cm/sec

$v=\sqrt{\frac{3RT}{M}}\Rightarrow v=\sqrt{\frac{3PV}{m}}AsPV=\frac{mRT}{M}v=\sqrt{\frac{3\times 24\times {10}^5\times 10\times {10}^3)}{20}}=600cm/s$