In a nuclear reactor, waste material with a concentration of 0.3510^-3 kg/L is obtained at a rate of 40L per minute. The solution will be allowed to sit for a while to reduce the concentration of this waste material to a safe limit. If the concentration drops to 0.03510^-3 kg/L, the danger is eliminated. The waste material, which is a radioactive isotope, decays proportionally to its own concentration.
a) What should be the volume of a sufficiently large tank to reduce the concentration of this waste material to a safe level by letting it sit in the tank? (k = 0.0693 min^-1)
b) When a second flow is sent to the same tank (40L/min):
i.) If the flow is water
ii.) If the flow contains 0.5 *10^-3 kg/L waste material what will be the volume?