Calculus
6th Edition
ISBN: 9781465208880
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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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
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
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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Prob. 43PSCh. 7.3 - Prob. 44PSCh. 7.3 - Prob. 45PSCh. 7.3 - Prob. 46PSCh. 7.3 - Prob. 47PSCh. 7.3 - Prob. 48PSCh. 7.3 - Prob. 49PSCh. 7.3 - Prob. 50PSCh. 7.3 - Prob. 51PSCh. 7.3 - Prob. 52PSCh. 7.3 - Prob. 53PSCh. 7.3 - Prob. 54PSCh. 7.3 - Prob. 55PSCh. 7.3 - Prob. 56PSCh. 7.3 - Prob. 57PSCh. 7.3 - Prob. 58PSCh. 7.3 - Prob. 59PSCh. 7.3 - Prob. 60PSCh. 7.4 - Prob. 1PSCh. 7.4 - Prob. 2PSCh. 7.4 - Prob. 3PSCh. 7.4 - Prob. 4PSCh. 7.4 - Prob. 5PSCh. 7.4 - Prob. 6PSCh. 7.4 - Prob. 7PSCh. 7.4 - Prob. 8PSCh. 7.4 - Prob. 9PSCh. 7.4 - Prob. 10PSCh. 7.4 - Prob. 11PSCh. 7.4 - Prob. 12PSCh. 7.4 - Prob. 13PSCh. 7.4 - Prob. 14PSCh. 7.4 - Prob. 15PSCh. 7.4 - Prob. 16PSCh. 7.4 - Prob. 17PSCh. 7.4 - Prob. 18PSCh. 7.4 - Prob. 19PSCh. 7.4 - Prob. 20PSCh. 7.4 - Prob. 21PSCh. 7.4 - Prob. 22PSCh. 7.4 - Prob. 23PSCh. 7.4 - Prob. 24PSCh. 7.4 - Prob. 25PSCh. 7.4 - Prob. 26PSCh. 7.4 - Prob. 27PSCh. 7.4 - Prob. 28PSCh. 7.4 - Prob. 29PSCh. 7.4 - Prob. 30PSCh. 7.4 - Prob. 31PSCh. 7.4 - Prob. 32PSCh. 7.4 - Prob. 33PSCh. 7.4 - 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Prob. 58PSCh. 7.7 - Prob. 59PSCh. 7.7 - Prob. 60PSCh. 7.8 - Prob. 1PSCh. 7.8 - Prob. 2PSCh. 7.8 - Prob. 3PSCh. 7.8 - Prob. 4PSCh. 7.8 - Prob. 5PSCh. 7.8 - Prob. 6PSCh. 7.8 - Prob. 7PSCh. 7.8 - Prob. 8PSCh. 7.8 - Prob. 9PSCh. 7.8 - Prob. 10PSCh. 7.8 - Prob. 11PSCh. 7.8 - Prob. 12PSCh. 7.8 - Prob. 13PSCh. 7.8 - Prob. 14PSCh. 7.8 - Prob. 15PSCh. 7.8 - Prob. 16PSCh. 7.8 - Prob. 17PSCh. 7.8 - Prob. 18PSCh. 7.8 - Prob. 19PSCh. 7.8 - Prob. 20PSCh. 7.8 - Prob. 21PSCh. 7.8 - Prob. 22PSCh. 7.8 - Prob. 23PSCh. 7.8 - Prob. 24PSCh. 7.8 - Prob. 25PSCh. 7.8 - Prob. 26PSCh. 7.8 - Prob. 27PSCh. 7.8 - Prob. 28PSCh. 7.8 - Prob. 29PSCh. 7.8 - Prob. 30PSCh. 7.8 - Prob. 31PSCh. 7.8 - Prob. 32PSCh. 7.8 - Prob. 33PSCh. 7.8 - Prob. 34PSCh. 7.8 - Prob. 35PSCh. 7.8 - Prob. 36PSCh. 7.8 - Prob. 37PSCh. 7.8 - Prob. 38PSCh. 7.8 - Prob. 39PSCh. 7.8 - Prob. 40PSCh. 7.8 - Prob. 41PSCh. 7.8 - Prob. 42PSCh. 7.8 - Prob. 43PSCh. 7.8 - Prob. 44PSCh. 7.8 - Prob. 45PSCh. 7.8 - Prob. 46PSCh. 7.8 - Prob. 47PSCh. 7.8 - Prob. 48PSCh. 7.8 - 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- A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons of chocolate syrup. Milk is added to the tank at the rate of 8 gallons per minute and syrup is added at a rate of 2 gallons per minute. At the same time, chocolate milk is withdrawn at a rate of 10 gallons per minute. Assuming perfect mixing of milk and syrup, determine how much syrup will be in the tank after 10 minutes. O A. 55.50 gal. O B. None of the choices O C. 50.88 gal. O D. 60.23 gal. O E. 23.90 gal.arrow_forward2. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is dissolved. Brine containing pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is then pumped out at a slower rate of 4 gal/min. Find the number of pounds of salt in the tank after 30 minutes.arrow_forward15. A flow rate of 32 microdrops per minute on a gravity system is equivalent to how many milliliters per hour on a pump?arrow_forward
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