Question

A gas mixture consists of molecules of type 1, 2 and 3, with molar masses $m_{1}\ \textgreater \ m_{2}\ \textgreater \ m_{3}.\ v_{rms}\ and\ \bar{k}$ are the r.m.s. speed and average kinetic energy of the gases. Which of the following is true?
(a) $(v_{rms})_{1}\ \textless \ (v_{rms})_{2}\ \textless \ (v_{rms})_{3}\ and\ (\bar{k})_{1}=(\bar{k})_{2}=(\bar{k})_{3}$
(b) $(v_{rms})_{1}=(v_{rms})_{2}=(v_{rms})_{3}\ and\ (\bar{k})_{1}=(\bar{k})_{2}\ \textgreater \ (\bar{k})_{3}$
(c) $(v_{rms})_{1}\ \textgreater \ (v_{rms})_{2}\ \textgreater \ (v_{rms})_{3}\ and\ (\bar{k})_{1}\ \textless \ (\bar{k})_{2}\ \textgreater \ (\bar{k})_{3}$
(d) $(v_{rms})_{1}\ \textless \ (v_{rms})_{2}\ \textless \ (v_{rms})_{3}\ and\ (\bar{k})_{1}\ \textless \ (\bar{k})_{2}\ \textless \ (\bar{k})_{3}$

Answer 1

Option(b) is correct answer