2. A constant-stirred tank reactor (CSTR), initially filled with 20 kg of salt, is diluted with enough water to reduce the salt concentration. Given an equal inlet and outlet flow, find the time when the salt is 1% of its original amount. The differential equation for the rate of change in salt concentration is: dS = 180s + 40 dt where s is in kg and t is in seconds.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A constant-stirred tank reactor (CSTR), initially filled with 20 kg of salt, is diluted with enough water to
reduce the salt concentration. Given an equal inlet and outlet flow, find the time when the salt is 1% of its
original amount. The differential equation for the rate of change in salt concentration is:
2.
ds
= 180s + 40
dt
where s is in kg and t is in seconds.
Transcribed Image Text:A constant-stirred tank reactor (CSTR), initially filled with 20 kg of salt, is diluted with enough water to reduce the salt concentration. Given an equal inlet and outlet flow, find the time when the salt is 1% of its original amount. The differential equation for the rate of change in salt concentration is: 2. ds = 180s + 40 dt where s is in kg and t is in seconds.
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