A Mixture Problem In an oil refinery, a storage tank contains 10,000 [L] of gasoline that initially has 50 [kg] of an additive dissolved in it. In preparation for winter weather, gasoline containing 0.2 [kg] of additive per litre is pumped into the tank at a rate of 200 [L/min]. 200 L/min containing 0.2 kg/L 220 L/min containing kg/L Where y is the amount of chemical in the container at time t, and V is the total volume of liquid in the container at time t, a) Write a formula V(t) for the capacity (volume) of the tank at any time. b) Find the domain of V for this problem. c) Find the rate of incoming additive in [kg/min]. d) Find the rate of outgoing additive in [kg/min]. e) Express the rate of change of the amount of chemical in the container at time t in its standard form. f) Calculate how much of the additive is in the tank 25 minutes after the pumping process begins.

A Mixture Problem In an oil refinery, a storage tank contains 10,000 [L] of gasoline that initially has 50 [kg] of an additive dissolved in it. In preparation for winter weather, gasoline containing 0.2 [kg] of additive per litre is pumped into the tank at a rate of 200 [L/min]. 200 L/min containing 0.2 kg/L 220 L/min containing kg/L Where y is the amount of chemical in the container at time t, and V is the total volume of liquid in the container at time t, a) Write a formula V(t) for the capacity (volume) of the tank at any time. b) Find the domain of V for this problem. c) Find the rate of incoming additive in [kg/min]. d) Find the rate of outgoing additive in [kg/min]. e) Express the rate of change of the amount of chemical in the container at time t in its standard form. f) Calculate how much of the additive is in the tank 25 minutes after the pumping process begins.