// Theory and Problems of Thermodynamics // Chapter 11 // Kinetic Theory of Gases // Example 11 clear ;clc; //Given data T = 273 // temperature of oxygen in K vis =19.2 // viscosity of oxygen R = 8.314 // gas constant N0 = 6.023*1e23 // number of atoms per mole M = 32*1e-3 // molar mass of oxygen in kg/mol // Calculations V = (8*R*T/(%pi*M))^0.5 // average velocity of gas molecule sig = M*V/(N0*vis*(1e-6)*3*(2^0.5)) //sig = 4*%pi*r1^2 r1 = (sig/(4*%pi))^0.5 // output results mprintf('Hard sphere radius of oxygen molecule = %4.2f nm', r1*1e9)