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.
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb180c7cc-c30b-44d2-8890-277e75cf2806%2F91230fb2-0d28-47c2-aee5-f20dd9786725%2Fasp2k1u_processed.png&w=3840&q=75)
Transcribed Image Text: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.
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