Question

Methylene Chloride (MC) is a common ingredient of paint removers. Besides being an irritant, it also may be absorbed through skin. When using this paint remover chemical protective clothing should be worn. If thick butyl rubber gloves (0.1 cm thick) are used, D in butyl rubber is 110 x 10-8 cm2/s, and surface concentrations are 0.44, and 0.02 g/cm3. If the surface of a glove is 50 cm2, the amount of MC transported through the glove in 3 hours will be: Answer in grams (g).

Answer 1

2.5 g

Step-by-step explanation:

First we have to calculate the diffusion flux (J). To calculate, we use the formula:

`J=-D(dC)/(dx)=-D(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)((0.02-0.44)/(0.1) )=4.62*10^(-6)g/cm^2s\\\\But, J=(M)/(At)\\ \\t=3\ hours=10800\ s,A=50\ cm^2\\\\Substituting:\\\\4.62*10^(-6)=(M)/(50*10800)\\ \\M=4.62*10^(-6)*50*10800\\\\M=2.5\ g`