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// 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)
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