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Date Posted: 7/24/2008 2:08:16 AM  Status: Live
thermo will rate....
Course Textbook Chapter Problem
Thermodynamics Fundamentals of Engineering Thermodynamics (5th) by Moran, Shapiro 4 N/A
Question Details:
Problem 4.007
A water storage tank initially contains 100,000 gal of water. The average daily usage is 13935 gal. If water is added to the
tank at an average rate of 5000[exp(–t/20)] gallons per day, where t is time in days, for how many days will the tank contain
water?

days
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Karma Points: 1,977
Date Posted: 7/27/2008 2:04:02 AM  Status: Live
Asker's Rating: Helpful   
Response:
The volume V at any number of days, t, is  given by:
 
100,000  +  5,000 e(-t/20) - 13,935 t.
 
I would type this into your Y= mode of your graphical calculator and then see what value of t gives Y=0 (ie, zero volume).
 
The most accurate way of doing this, after you do the graph on your calculator, is to push 2nd CALC, then 2. zero.  You will be asked to pick a left bound, a right bound, and a guess.  Use the trace function to determine a value that is definitely to the left and right of where the  graph crosses the horizontal axis, and  choose your guess to be somewhere inbetween your left and right bounds.
 
I got t = 7.4237 days, but check this.  



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