Question
Asked Feb 23, 2020
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Hi, can I please have this problem solved? Thank you!

A tank contains 1060 L of pure water. A solution that contains 0.06 kg of sugar per liter enters a tank at the
rate 5 L/min The solution is mixed and drains from the tank at the same rate.
(a) How much sugar is in the tank initially?
E (kg)
(b) Find the amount of sugar in the tank after t minutes.
amount =
(kg)
(your answer should be a function of t)
(c) Find the concentration of sugar in the solution in the tank after 45 minutes.
concentration =
(kg/L)
help_outline

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A tank contains 1060 L of pure water. A solution that contains 0.06 kg of sugar per liter enters a tank at the rate 5 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially? E (kg) (b) Find the amount of sugar in the tank after t minutes. amount = (kg) (your answer should be a function of t) (c) Find the concentration of sugar in the solution in the tank after 45 minutes. concentration = (kg/L)

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Expert Answer

Step 1 help_outline fullscreen

 

Part A:

 

In part A, we have to find the initial sugar level in tank. At initially, the tank contains only pure water. So, the level of the sugar is zero.

Step 2

Amount of sugar after time t:

 

Calculus homework question answer, step 2, image 1

Step 3

The solution of the above differential equation is:

 

Calculus homework question answer, step 3, image 1

...

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