Question

In a brine tank problem involving two tanks (similar to Example 2), each initially containing fresh water, with an inflow rate of gallons per minute to tank 1, and a salt concentration of pounds per gallon, answer the following:

Find the amounts A and B of salt in the two tanks after t minutes.
a. A=C1ek1t+C2ek2t, B=C3ek3t+C4ek4t
b. A=C1ek1t−C2ek2t, B=C3ek3t−C4ek4t
c. A=C1ek1t⋅C2ek2t, B=C3ek3t⋅C4ek4t
d. A=C1ek1t÷C2ek2t, B=C3ek3t÷C4ek4t

Answer 1

The correct option for finding the amounts A and B of salt in the two tanks after t minutes in a brine tank problem is: A=C1ek1t+C2ek2t, B=C3ek3t+C4ek4t. In this equation, A represents the amount of salt in tank 1 and B represents the amount of salt in tank 2.

Step-by-step explanation:

The correct option for finding the amounts A and B of salt in the two tanks after t minutes in a brine tank problem is: a. A=C1ek1t+C2ek2t, B=C3ek3t+C4ek4t.

In this equation, A represents the amount of salt in tank 1 and B represents the amount of salt in tank 2. C1, C2, C3, and C4 are constants, while k1, k2, k3, and k4 are the rate constants for each tank.

By using this equation, you can calculate the amounts of salt in each tank based on the inflow rate and salt concentration, as well as the time that has passed.