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November 01, 2025, 03:21:49 pm

Author Topic: rate question  (Read 676 times)  Share 

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Forte

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rate question
« on: April 25, 2012, 10:33:19 pm »
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100L tank is initially half full with a salt solution with a conc of (6g/L). A salt solution(36g/L) starts flowing  into the tank at a rate (6g/L). Simultaneously, the mixture leaves the tank at a rate of (3g/L)

I need to find the d.e for x(t) amount of salt in tank after t minutes.

Thanks

brightsky

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Re: rate question
« Reply #1 on: April 25, 2012, 11:13:19 pm »
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assuming you mean at a rate of 6 L/min, or something
dx/dt = dx/dt_in - dx/dt_out
= (dx/dV * dV/dt)_in - (dx/dV *dV/dt)_out
= (36 * 6) - (x/(50 + 3t) * 3)
= 216 - 3x/(50+ 3t)
that's your diff equation.
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Forte

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Re: rate question
« Reply #2 on: April 26, 2012, 12:18:14 am »
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It was 6g/L. I just got the answer, the way to do this is actually not in the course, so don't worry about this anymore.