Question

A mole of an ideal gas is in a cubical vessel of side L and pressure of gas is P. A molecule of gas moving with average speed and parallel to a edge cube strikes wall of vessel in such a manner that n collision take place in one second. Molecular mass of gas is M₀ –

• A. Root mean square speed of gas molecules is L$\sqrt{\frac{3PL}{M_{0}}}$
• B. Root mean square speed of gas molecules is $\sqrt{\frac{3PL^{2}}{2M_{0}}}$
• C. Average speed of gas molecules is $\sqrt{\frac{2PL}{M_{0}}}$
• D. Data is insufficient

Answer 1

Answer: (A)

Root mean square speed of gas molecules is L$\sqrt{\frac{3PL}{M_{0}}}$

Answer 2

PV = $\frac{1}{3}$ M₀ $v_{rms}^{2}$

v_rms = $\sqrt{\frac{3PV}{M_{0}}}$