A gas mixture consists of molecules of type 1,2 and 3, with molar masses `m_(1) gt m_(2) gt m_(3).V_(rms) " and "overset(-)(K)` are the r.m.s. speed and average kinetic energy of the gases. Which of the following is true-

Options

A. `(V_(rms))_(1) lt(V_(rms))_(2)lt(V_(rms))_(3) & (barK)_(1)=(barK)_(2)=(barK)_(3)`
B. `(V_(rms))_(1) =(V_(rms))_(2)=(V_(rms))_(3) & (barK)_(1)=(barK)_(2)gt(barK)_(3)`
C. `(V_(rms))_(1) gt(V_(rms))_(2)gt(V_(rms))_(3) & (barK)_(1)lt(barK)_(2)gt(barK)_(3)`
D. `(V_(rms))_(1) gt(V_(rms))_(2)gt(V_(rms))_(3) & (barK)_(1)lt(barK)_(2)lt(barK)_(3)`

Answer

A

Explanation

`V_("rms")prop (1)/(sqrt(M))rArr(v_("rms"))lt(v_("rms"))_(2)lt(v_("rms"))_(3)` also in mixtrue temperature of each gas will be same hence kinetic energy also remains same.