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A spherical vessel, 150 cm in diameter is initially filled with water to a depth of 52.631 cm. 65 grams of salt are dissolved in the tank. Brine containing 0.0015 kg of salt per liter is then pumped into the tank at the rate of 4.2 liters per minute and the solution mixed well is pumped out of the same rate. Determine the following.

A spherical vessel, 150 cm in diameter is initially filled with water to a depth of 52.631 cm. 65 grams of salt are dissolved in the tank. Brine containing 0.0015 kg of salt per liter is then pumped into the tank at the rate of 4.2 liters per minute and the solution mixed well is pumped out of the same rate. Determine the following.

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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DIFFERENTAL EQUATION: GROWTH AND DECAY, NEWTON'S LAW OF COOLING AND DILUTION/MIXING PROBLEMS.

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1. A spherical vessel, 150 cm in diameter is initially filled with water to a depth of 52.631 cm. 65 grams of salt are dissolved in the tank. Brine containing 0.0015 kg of salt per liter is then pumped into the tank at the rate of 4.2 liters per minute and the solution mixed well is pumped out of the same rate. Determine the following.

a. The expression of grams of salt in the tank at any time (in minutes)
b. The amount of salt(kilogram) in the tank after 10 minutes.
c. The time when the amount of salt in the tank is 0.15kg.

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