A 1500-L tank is initially filled with a solution that contains 3000 g of salt. A salt solution with a concentration of 20 g/L flows into the tank at a rate of 3 L/min. The thoroughly solution is drained from the tank at a rate of 3 L/min. mixed

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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23-26. Stirred tank reactions For each of the following stirred tank
reactions, carry out the following analysis. have either of these
a. Write an initial value problem for the mass of the substance.
b. Solve the initial value problem.
P
23. A 500-L tank is initially filled with pure water. A copper sulfate
solution with a concentration of 20 g/L flows into the tank at a
rate of 4 L/min. The thoroughly mixed solution is drained from
the tank at a rate of 4 L/min.
24. A 1500-L tank is initially filled with a solution that contains
3000 g of salt. A salt solution with a concentration of 20 g/L
flows into the tank at a rate of 3 L/min. The thoroughly mixed
solution is drained from the tank at a rate of 3 L/min.
25. A 2000-L tank is initially filled with a sugar solution with a con-
centration of 40 g/L. A sugar solution with a concentration of
10 g/L flows into the tank at a rate of 10 L/min. The thoroughly
mixed solution is drained from the tank at a rate of 10 L/min.
26. A one-million-liter pond is contaminated by a chemical pollutant
with a concentration of 20 g/L. The source of the pollutant is
non
K P
has a maximum va
b. Show that the Gon
of
f(M) = -rM In
K
point M =
e
33. Solution of the logis
show that the solution
P' (t)
is P(t) =
=
- 1
Po
34. Properties of the G
K
-
K
Transcribed Image Text:23-26. Stirred tank reactions For each of the following stirred tank reactions, carry out the following analysis. have either of these a. Write an initial value problem for the mass of the substance. b. Solve the initial value problem. P 23. A 500-L tank is initially filled with pure water. A copper sulfate solution with a concentration of 20 g/L flows into the tank at a rate of 4 L/min. The thoroughly mixed solution is drained from the tank at a rate of 4 L/min. 24. A 1500-L tank is initially filled with a solution that contains 3000 g of salt. A salt solution with a concentration of 20 g/L flows into the tank at a rate of 3 L/min. The thoroughly mixed solution is drained from the tank at a rate of 3 L/min. 25. A 2000-L tank is initially filled with a sugar solution with a con- centration of 40 g/L. A sugar solution with a concentration of 10 g/L flows into the tank at a rate of 10 L/min. The thoroughly mixed solution is drained from the tank at a rate of 10 L/min. 26. A one-million-liter pond is contaminated by a chemical pollutant with a concentration of 20 g/L. The source of the pollutant is non K P has a maximum va b. Show that the Gon of f(M) = -rM In K point M = e 33. Solution of the logis show that the solution P' (t) is P(t) = = - 1 Po 34. Properties of the G K - K
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