5) A shark tank filled with 50 gallons of fresh water is being simultaneously drained of the water inside and having salt water pumped in. The salt water being pumped in has a concentration of 500 grams of salt per gallon. Presume that the water in the tank is always of a uniform concentration of salt water at all times. a) If the salt water is pumped into the tank at a rate of 5 gallons per minute and the water in the tank is also pumped out at the same rate, how many grams of salt are in the tank after 10 minutes? b) If the salt water is pumped into the tank at a rate of 5 gallons a minute but the water in the tank is pumped out at only 4 gallons per minute (and presuming the tank is large enough that the water does not overflow), how many grams of salt are in the tank after 10 minutes?
5) A shark tank filled with 50 gallons of fresh water is being simultaneously drained of the water inside and having salt water pumped in. The salt water being pumped in has a concentration of 500 grams of salt per gallon. Presume that the water in the tank is always of a uniform concentration of salt water at all times. a) If the salt water is pumped into the tank at a rate of 5 gallons per minute and the water in the tank is also pumped out at the same rate, how many grams of salt are in the tank after 10 minutes? b) If the salt water is pumped into the tank at a rate of 5 gallons a minute but the water in the tank is pumped out at only 4 gallons per minute (and presuming the tank is large enough that the water does not overflow), how many grams of salt are in the tank after 10 minutes?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5) A shark tank filled with 50 gallons of fresh water is being simultaneously drained of the water inside and
having salt water pumped in. The salt water being pumped in has a concentration of 500 grams of salt per
gallon. Presume that the water in the tank is always of a uniform concentration of salt water at all times.
a) If the salt water is pumped into the tank at a rate of 5 gallons per minute and the water in the tank is also
pumped out at the same rate, how many grams of salt are in the tank after 10 minutes?
b) If the salt water is pumped into the tank at a rate of 5 gallons a minute but the water in the tank is pumped
out at only 4 gallons per minute (and presuming the tank is large enough that the water does not overflow), how
many grams of salt are in the tank after 10 minutes?
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