A vat with 500 gallons of beer contains 4 % alcohol ( by volume ). Beer with 7% alcohol is pumped into the vat at a rate of 5 gal/min and the mixture is pumped out at the same rate. (a) What is the amount of alcohol after an hour? (b) What is the percentage of alcohol after an hour?

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Chapter2: Second-order Linear Odes
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Please solve this Chemical Mixture Problem (Differential Equation) and provide a complete solution.

 

A vat with 500 gallons of beer contains 4 % alcohol ( by volume ). Beer with 7% alcohol is pumped into the vat at a rate of 5 gal/min and the mixture is pumped out at the same rate. (a) What is the amount of alcohol after an hour? (b) What is the percentage of alcohol after an hour?

Please solve this Chemical Mixture Problem (Differential Equation) and provide a complete
solution.
A vat with 500 gallons of beer contains 4 % alcohol ( by volume ). Beer with 7% alcohol is
pumped into the vat at a rate of 5 gal/min and the mixture is pumped out at the same rate. (a)
What is the amount of alcohol after an hour? (b) What is the percentage of alcohol after an
hour?
Transcribed Image Text:Please solve this Chemical Mixture Problem (Differential Equation) and provide a complete solution. A vat with 500 gallons of beer contains 4 % alcohol ( by volume ). Beer with 7% alcohol is pumped into the vat at a rate of 5 gal/min and the mixture is pumped out at the same rate. (a) What is the amount of alcohol after an hour? (b) What is the percentage of alcohol after an hour?
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