A tank contains 200,000200,000 liters of solution with a contaminant concentration of 10 g/L10 \text{ g/L}. The contaminant source is removed, and pure water flows in at 400 L/h400\text{ L/h}, with the mixture leaving at the same rate. Let m(t)m\left(t\right) be the mass of the contaminant (in grams) in the tank at time tt (in hours). Assuming perfect mixing, determine the initial value problem that describes the mass of contaminant in the tank at t≥0t\ge0.

dmdt=−1500m(t)\frac{dm}{dt}=-\frac{1}{500}m\left(t\right)m(0)=2,000,000m\left(0\right)=2,000,000

dmdt=1500m(t)\frac{dm}{dt}=\frac{1}{500}m\left(t\right)m(0)=2,000,000m\left(0\right)=2,000,000

dmdt=−1500m(t)\frac{dm}{dt}=-\frac{1}{500}m\left(t\right)m(0)=20,000m\left(0\right)=20,000

dmdt=1500m(t)\frac{dm}{dt}=\frac{1}{500}m\left(t\right)m(0)=20,000m\left(0\right)=20,000

A tank contains 200,000200,000 liters of solution with a contamin...

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