Chapter 21, Problem 74CP

(a)

To determine

Show that the average speeds of the two particle is $v_{\text{avg}}$.

(b)

To determine

Show that $v_{\text{rms}}^2=v_{\text{avg}}^2\left(2-2a+a^2\right)$.

(c)

To determine

The equation in part (b) proves that $v_{\text{rms}}>v_{\text{avg}}$.

(d)

To determine

The special condition will $v_{\text{rms}}=v_{\text{avg}}$ for the two particle gas.