Halliday, Resnick & Walker — The Kinetic Theory of Gases: Problem 32

32 Two containers are at the same temperature. The first contains gas with pressure \(p_1\), molecular mass \(m_1\), and rms speed \(v_{\text{rms1}}\). The second contains gas with pressure \(1.5p_1\), molecular mass \(m_2\), and average speed \(v_{\text{avg2}} = 2.0v_{\text{rms1}}\). Find the mass ratio \(m_1/m_2\).