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## Homework Statement

I am working on a mass transfer problem and have this equation:

d/dt(Vc

_{1}) = Ak[c

_{1}(sat) - c

_{1}]

## Homework Equations

Initial conditions:

x=0, c

_{1}=0

## The Attempt at a Solution

I know that the result from integration should be:

c

_{1}/c

_{1}(sat) = 1 – e

^{-(kA/V)t}

But I don't understand the integration that got there. If someone could show me the steps, that would be very helpful!

Thanks!