You can use the formula given in the previous section to determine the average speed:
$\stackrel{\u203e}{v}\={{\int}}_{0}^{\infty}\mathrm{vf}\left(v\right){DifferentialD;}vequals;\sqrt{\frac{8\mathrm{kT}}{\mathrm{\pi}m}}$
$\stackrel{\u203e}{v}\=\sqrt{\frac{8\left(1.38\times {10}^{-23}\mathrm{J}sol;\mathrm{K}\right)\left(298.15\mathrm{K}\right)}{\mathrm{pi;}\left(4.65\times {10}^{-26}\mathrm{kg}\right)}}$
$\stackrel{\u203e}{v}\=471\frac{m}{s}$
Therefore the average speed is 471 m/s.