Initially, a large tank with a capacity of 100 gallons contains 50 gallons of pure water. A salt solution with a concentration of 0.1 lb/gal flows into the tank at a rate of 4 gal/min. The mixture is kept well-stirred and flows out of the tank at the rate of 2 gal/min. (a) Find the initial-value problem that describes the amount of salt in the tank. (b) Find the amount of salt in the tank at exact time the tank overflows. (c) Find the concentration of salt in the tank until the tank overflows.

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Basic Chemical Calculations (Process and Variables)

A basic chemical calculation involves the application of the law of chemical proportions to various reactions and material and energy balance calculations on various chemical processes. Basic chemical calculation helps students analyze various chemical processes and develop problem-solving skills. The chemical manufacturing processes are divided into unit operations involving physical changes of material and unit processes involving the chemical transformation of materials. For instance, fluid flow, heat transfer, and mass transfer are unit operations, and oxidation, reduction, and pyrolysis are unit processes.