Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter 7.6, Problem 36PS
(a)
To determine
To find: the amount of time taken to fill the tank
(b)
To determine
To find: the amount of salt in the tank when the tank fills
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Check out a sample textbook solutionStudents have asked these similar questions
3.
A tank contains 80 gals. of pure water. A
brine solution with 2 lbs/gal of salt enters at
2 gals/min, and the well-stirred mixture
leaves at the same rate. Find (a) the amount
of salt in the tank at any time
O a. 80 Ibs
O b. 41.3 lbs
c. 23 Ibs
O d. 27.73 lbs
Problem: Into a 100-gal tank initially filled with fresh water flow 3 gal/min of salt
water containing 2lb of salt per gallon. The solution kept uniform by stirring, flows
out at the same rate. How many pounds of salt will there be in the tank at the end
of:
A. 1 hour and 40 minutes?
B. 2hours?
Also discuss how the volume of salt inside the tank is affected as time increases.
Rate of entesing
(saltwates)= 3gal
min
vol= 100 gal
Q= 0 lb salt
Rate of leaving
(salrwater) = 3gal
min
1. A tank contains 100 gallons of brine made by dissolving 60 pounds of salt in water. Salt water
containing 1 pound of salt per gallon runs in at the rate of 2 gal/min, and the mixture, kept unifom
by stirring runs out at the rate of 3 gal/min. Find the amount of salt in the tank at the end of 1
hour.
Chapter 7 Solutions
Calculus
Ch. 7.1 - Prob. 1PSCh. 7.1 - Prob. 2PSCh. 7.1 - Prob. 3PSCh. 7.1 - Prob. 4PSCh. 7.1 - Prob. 5PSCh. 7.1 - Prob. 6PSCh. 7.1 - Prob. 7PSCh. 7.1 - Prob. 8PSCh. 7.1 - Prob. 9PSCh. 7.1 - Prob. 10PS
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- 3) Problem: A large tank holds 300 gallons of brine solution with 40 pounds (Ib) of salt. A concentration of 2 lb/gallon is pumped in a rate of 4 gal/min. The concentration leaving the tank is pumped out at a rate of 3 gal/min. How much salt is in the tank after 12 minutes?arrow_forward4. A large tank contains 100 gal of brine in which initially 50 lbs of salt are dissolved. Brine containing 1 lb of salt per gallon then flows into the tank at the rate of 3 gallon/minute while the mixture runs out of the tank at the rate of 2 gallons/minute. After 25 minutes, how much salt is in the tank?arrow_forward
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