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Flow rate

by geowills
Tags: flow, rate
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Jul7-08, 04:08 AM
P: 2
A large tank at first has 50 gallons of a solution that is holding 10 lbs. of a chemical. Water is going through at a constant rate, and the mixture is going out at a constant rate. What will be the flow rate if 2 lbs. remains after 20 mins?

I assume it's a differential eqns. problem.
I think I should define x(t) as amount of chemical, so dx/dt = - x(t)/50 but I'm not really sure. Can somebody walk me through this?
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Jul7-08, 04:34 AM
P: 10
Well the water and chemical is decreasing at a constant rate so i doubt you should use differential equations.

Here is what i think -

8lb of chemical in 20 mins = 0.4lb/min
50 gallons for 10 lb of chemical = 5gal/lb

gallons/min = 0.4 * 5 = 2 gal/min

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