A large mixing tank initially holds 1000L of brine in which 25kg of salt was dissolved. Another brine solution is pumped into the large tank at a rate of 10L per minute; the concentration of salt in this inflow is c (t) = 0.25 + sin(÷) kg per liter. When the solution in the tank is well stirred, it is pumped out at the same rate it is entering. A. What is the value of C in four decimal places? Answer: B. What is the amount of salt in the tank after 60 minutes?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A large mixing tank initially holds 100OL of brine in which 25kg of salt was dissolved.
Another brine solution is pumped into the large tank at a rate of 10L per minute; the
concentration of salt in this inflow is c (t) = 0.25 + sin() kg per liter. When the
solution in the tank is well stirred, it is pumped out at the same rate it is entering.
A. What is the value of C in four decimal places?
Answer:
B. What is the amount of salt in the tank after 60 minutes?
Answer:
kg
Transcribed Image Text:A large mixing tank initially holds 100OL of brine in which 25kg of salt was dissolved. Another brine solution is pumped into the large tank at a rate of 10L per minute; the concentration of salt in this inflow is c (t) = 0.25 + sin() kg per liter. When the solution in the tank is well stirred, it is pumped out at the same rate it is entering. A. What is the value of C in four decimal places? Answer: B. What is the amount of salt in the tank after 60 minutes? Answer: kg
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