Answer:
[tex]1.75*10^{-16}m^2/s[/tex]
Explanation:
Data given
Maximum diffusion coefficient,[tex]D_{o}=1.6*10^{-6}m^{2}/s\\[/tex]
Activation Energy,[tex]E_{a}=188kJ/mol=188000J/mol[/tex]
Temperature,T=713+273=986K
Universal gas constant, R=8.314J/mk
Since diffusion is the movement of particles from a higher concentration to a lower concentration, the coefficient of diffusion is expressed as
[tex]D=D_{0}e^{-E_{A}/RT}[/tex]
If we substittute valies we arrive at
[tex]D=D_{0}e^{-E_{A}/RT}\\D=1.6*10^{-6}e^{-188000/(8.314*986)}\\D=1.75*10^{-16}m^2/s[/tex]
