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A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution with 7/10 pound of salt per gallon is added to the tank at 8 gal/min, and the resulting mixture is drained out at 4 gal/min. Let Q(t) denote the quantity (lbs) of salt at time t (min).

A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution with 7/10 pound of salt per gallon is added to the tank at 8 gal/min, and the resulting mixture is drained out at 4 gal/min. Let Q(t) denote the quantity (lbs) of salt at time t (min).

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution with 7/10 pound of salt per gallon is added to the tank at 8 gal/min, and the resulting mixture is drained out at 4 gal/min. Let Q(t) denote the quantity (lbs) of salt at time t (min). (a) Write a differential equation for Q(t) which is valid up until the point at which the tank overflows. Q' (t) = (b) Find the quantity of salt in the tank as it's about to overflow. O esc ← →>>> ✓ A 2 W 3 e C $ 4 r N % 5 t Oll 6 y & 7 * 8 ( 9
Transcribed Image Text:A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution with 7/10 pound of salt per gallon is added to the tank at 8 gal/min, and the resulting mixture is drained out at 4 gal/min. Let Q(t) denote the quantity (lbs) of salt at time t (min). (a) Write a differential equation for Q(t) which is valid up until the point at which the tank overflows. Q' (t) = (b) Find the quantity of salt in the tank as it's about to overflow. O esc ← →>>> ✓ A 2 W 3 e C $ 4 r N % 5 t Oll 6 y & 7 * 8 ( 9
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