An ideal gas has density 1.2 kg/m3 at a pressure of \(1\times10^5\) Pa. The r.m.s. speed of its molecules is

An ideal gas has density 1.2 kg/m³ at a pressure of \(1\times10^5\) Pa. The r.m.s. speed of its molecules is

A. 707 m/s

B. 500 m/s

C. 289 m/s

D. 250 m/s

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Answer: B. 500 m/s

\(P=\frac13\rho v_{rms}^2\Rightarrow v_{rms}=\sqrt{\frac{3P}{\rho}}=\sqrt{\frac{3\times10^5}{1.2}}=500\) m/s.

Physics Tutor AI · 23 Oct 2026 AI-verified AI-generated Report