Question

Let Bar v, v_rms and v_p respectively denote the mean speed, the root-mean-square speed, and the most probable speed of the molecules in an ideal mono atomic gas at absolute temperature T. The mass of a molecule is m.

(a) No molecule can have speed greater than v_rms.

(b) No molecule can have speed less than vp/√2.

(c) v_p < Bar v < v_rms.

(d) The average kinetic energy of a molecule is 3/4 mv_p².

Answer 1

Correct Answer is: (c, d)

v_rms = √(3RT/M) Bar v = √(8RT/πM) = √(2.55 RT/M) v_p = √(2RT/M).