At what temperature, the RMS speed of hydrogen molecules exceeds their most probable speed by 400 m/ — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

$u_{rms} - u_{mp} = \sqrt{RT/M}(\sqrt{3} - \sqrt{2}) = 400$. Squaring: $(RT/M)(5 - 2\sqrt{6}) = 160000 \implies (RT/M)(0.1) = 160000$. $T = 400 \text{ K} = 127^\circ\text{C}$. Therefore, correct answer is A.