How d I find the average concentration of a chemical across this membrane?

label Calculus
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Oct 12th, 2015

Hi there! Thank you for the opportunity to help you with your question!

The average concentration can be found by integrating the concentration from r_1 to r_2 (recall this is in polar coordinates, so the integral element would be r dr) and dividing the final result by r_2-r_1

So the answer is (integral c(r) r dr)/(r_2-r_1)

or  \integral{[(c_1 - c_2)/(ln(r_1) - ln(r_2)) (ln(r) - ln(r_2)) + c_2]r dr}/(r_2-r_1)

I won't have time to compute the entire integral in an "Easy question". 


Please let me know if you need any clarification. Always glad to help!
Oct 12th, 2015

That didn't help at all. You basically got me as far as I got on my own. I need to figure out how to integrate when I don't have numbers or and x. :/.

Oct 12th, 2015

That didn't help at all. You basically got me as far as I got on my own. I need to figure out how to integrate when I don't have numbers or and x. :/.

Oct 12th, 2015

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Oct 12th, 2015
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Oct 12th, 2015
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