(a) Explanation Given: The tank has an open top and a total capacity of 400 gallons , rate of inflow of brine is 3 gallon / minute and rate of outflow is 2 gallon / minute , amount of solution initially present is 300 gallons . Calculation: The rate of inflow of brine is, R in = 3 gallons minute The rate of outflow of brine is, R out = 2 gallons minute Calculate the net change in the quantity of solution (b) To determine The amount of salt in the tank at the instant it overflows. (c) To determine Find the amount of salt in the tank at t = 150 mins . (d) To determine Find the number of pounds of salt in the tank as t → ∞ . (e) To determine To plot: The graph of A ( t ) on the interval [ 0 , 500 ) .

6th Edition

ISBN: 9781284127003

Author: ZILL

Publisher: JONES+BARTLETT LEARNING,LLC (CC)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Question

Chapter 2.7, Problem 28E

(a)

To determine

Find the time when the tank will overflow.

(b)

To determine

The amount of salt in the tank at the instant it overflows.

(c)

To determine

Find the amount of salt in the tank at t=150 mins.

(d)

To determine

Find the number of pounds of salt in the tank as t→∞.

(e)

To determine

To plot: The graph of A(t) on the interval [0,500).

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Chapter 2.7, Problem 27E

Chapter 2.7, Problem 29E

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Chapter 2 Solutions

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Find the time when the tank will overflow.

Solution Summary: The author calculates the amount of salt in the tank at the instant it overflows.

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Find the time when the tank will overflow.

The amount of salt in the tank at the instant it overflows.

Find the amount of salt in the tank at t=150 mins.

Find the number of pounds of salt in the tank as t→∞.

To plot: The graph of A(t) on the interval [0,500).

Want to see the full answer?

Chapter 2 Solutions