Question

In: Advanced Math

A) A 50 gallon tank initially contains 10 gallons of fresh water. At t = 0...

A) A 50 gallon tank initially contains 10 gallons of fresh water. At t = 0 t = 0 a brine solution containing 1 pound of salt per gallon is poured into the tank at the rate of 4 gal/min., while the well-stirred mixture leaves the tank at the rate of 1 gal/min. Find the amount of salt in the tank at the moment of overflow.

B) A tank contains 100100 g of salt and 400400 L of water. Water that contains 1414 grams of salt per liter enters the tank at the rate 44 L/min. The solution is mixed and drains from the tank at the rate 66 L/min.

Let yy be the number of g of salt in the tank after tt minutes.

The differential equation for this situation would be:

dydt=dydt=     

Given the initial condition y(0)y(0) = 100 The particular solution would be

y(t)y(t)=    

Solutions

Expert Solution

Second Question--

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Colby Messinger answered 2 years ago
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