- #1
tickle_monste
- 69
- 1
A tank initially contains 200 gal of fresh water with 0 lbs of salt. Brine whose salt concentration is 2lb/gal flow in at 2 gal/min and the mix flows out at the same rate.
x = salt content, t = time.
So I figure that dx = 4dt - 2xdt/200 or dx = (400 - x).01dt
dx/(400-x) = .01dt
[tex]\int0x[/tex] [tex]\frac{dx}{400-x}[/tex]] = [tex]\int0100[/tex]1000.01dt
ln([tex]\frac{400-x}{400}[/tex] = 1
400 - x = 400e
x = 400-400e
which obviously isn't correct.
Can somebody show me what I'm doing wrong here?
x = salt content, t = time.
So I figure that dx = 4dt - 2xdt/200 or dx = (400 - x).01dt
dx/(400-x) = .01dt
[tex]\int0x[/tex] [tex]\frac{dx}{400-x}[/tex]] = [tex]\int0100[/tex]1000.01dt
ln([tex]\frac{400-x}{400}[/tex] = 1
400 - x = 400e
x = 400-400e
which obviously isn't correct.
Can somebody show me what I'm doing wrong here?