a-600600-ltextl-tank-is-initially-filled-with-pure-water-a-potassium-nitrate-sol

Question

A 600600-L	ext{L} tank is initially filled with pure water. A potassium nitrate solution with a concentration of 15 g/L15 	ext{ g/L} flows into the tank at a rate of 5 L/min5 	ext{ L/min}. The thoroughly mixed solution is drained from the tank at a rate of 5 L/min5 	ext{ L/min}. Let ﻿m(t)m(t)﻿ be the mass of potassium nitrate (in grams) at time ﻿tt (in minutes). Determine the initial value problem that models the mass of potassium nitrate in the tank.

Accepted Answer

dmdt=75−m(t)120\frac{dm}{dt}=75-\frac{m\left(t\right)}{120}m(0)=0m(0)=0

Answer

dmdt=75−m(t)120\frac{dm}{dt}=75-\frac{m\left(t\right)}{120}m(0)=15m\left(0\right)=15

Answer

dmdt=15−m(t)600\frac{dm}{dt}=15-\frac{m\left(t\right)}{600}m(0)=15m\left(0\right)=15

Answer

dmdt=15−m(t)600\frac{dm}{dt}=15-\frac{m\left(t\right)}{600}m(0)=0m(0)=0