Answer :
Answer:
2.5 g
Explanation:
First we have to calculate the diffusion flux (J). To calculate, we use the formula:
[tex]J=-D\frac{dC}{dx}=-D\frac{C_2-C_1}{x_2-x_1}\\ \\Given\ that:\\\\x_2-x_1=0.1\ cm,D=110*10^{-8}cm^2/s,C_2=0.02g/cm^3,C_1=0.44g/cm^3\\\\Substituting:\\\\J=-110*10^{-8}(\frac{0.02-0.44}{0.1} )=4.62*10^{-6}g/cm^2s\\\\But, J=\frac{M}{At}\\ \\t=3\ hours=10800\ s,A=50\ cm^2\\\\Substituting:\\\\4.62*10^{-6}=\frac{M}{50*10800}\\ \\M=4.62*10^{-6}*50*10800\\\\M=2.5\ g[/tex]