Tuesday

September 16, 2014

September 16, 2014

Posted by **Joseph** on Tuesday, February 22, 2011 at 2:38am.

Thanks,

Joseph

jadinoff @ gmail . com

- calc -
**MathMate**, Tuesday, February 22, 2011 at 8:52amYou can set up a first order differential equation to determine the time at which the required concentration remains.

The volume, V of the pit should be known.

The initial amount of juice, j, should be known.

The input concentration c1 of juice is zero.

The input rate r1=r=Q/t (in m³/s) should be known.

Assuming perfect agitation, the output concentration is c2=j/V.

The output rate, r2 equals input rate r1=r.

The equation would be

dj/dt = r1*c1-r2*c2

substituting values,

dj/dt = r*0 - r*(j/V)

dj/dt = -(Q/(Vt))j

Separate variables, to get

dj/j = -(Q/V)*dt/t

Integrate (do not forget the integration constant) and solve for j in terms of t.

**Answer this Question**

**Related Questions**

Chemistry - Hello, I would greatly appreciate some help with the following ...

science - a large fiberglass tank was placed in a pit, before pipes could be ...

Science - I am doing a science project about which juice cleans pennies best. I ...

Help with Math - 1.) Which is the equation of the line that contains the points...

math - A bottle of juice holds 3/8 gallon when it is full, if 1/3 of the juice ...

science - Can you please explain to me how to determine the control of an ...

Math - A bottle of juice holds 3/8 gallon when it is full. If 1/3 of the juice ...

Chemistry - Help needed for writing up a balance chemical equation for an acid/...

Math 117 - If you can please help, I would greatly appreciate it! Determine the ...

Math 117 - If you can please help, I would greatly appreciate it! Determine the ...