Pospiil (1927) observed the Brownian motion of soot particles, of radii (0.4 times 10^{-4} mathrm{~cm}), immersed in

Pospišil (1927) observed the Brownian motion of soot particles, of radii \(0.4 \times 10^{-4} \mathrm{~cm}\), immersed in a water-glycerine solution, of viscosity 0.0278 poise at a temperature of \(18.8^{\circ} \mathrm{C}\). The observed value of \(\overline{x^{2}}\), in a 10 -second time interval, was \(3.3 \times 10^{-8} \mathrm{~cm}^{2}\). Making use of these data, determine the Boltzmann constant \(k\).