H.W1: A 150-L tank initially contains (30 L) of fresh water. At (t = 0), a brine solution containing (0.5 kg) of salt per liter is poured into the tank at the rate of (10 L/min), while the well- stirred mixture leaves the tank at the rate of (4 L/min). Find: (a) The amount of time required for overflow to occur and (b) The amount of salt in the tank at the moment of overflow.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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H.W1: A 150-L tank initially contains (30 L) of fresh water. At (t = 0), a brine solution containing
(0.5 kg) of salt per liter is poured into the tank at the rate of (10 L/min), while the well-
stirred mixture leaves the tank at the rate of (4 L/min). Find:
(a) The amount of time required for overflow to occur and
(b) The amount of salt in the tank at the moment of overflow.
Transcribed Image Text:H.W1: A 150-L tank initially contains (30 L) of fresh water. At (t = 0), a brine solution containing (0.5 kg) of salt per liter is poured into the tank at the rate of (10 L/min), while the well- stirred mixture leaves the tank at the rate of (4 L/min). Find: (a) The amount of time required for overflow to occur and (b) The amount of salt in the tank at the moment of overflow.
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