A perfectly – mixed stirred – tank reactor of a constant volume V is having a tracer study done. Prior to the start of the study, the concentration of tracer is zero in the reactor and in the feed stream. At time = 0, Nt moles of tracer is instantaneously charged to the reactor, resulting in an initial tracer concentration of xo. Find the concentration of tracer, x(t) given a reactor volume of V and a flow rate i

A perfectly – mixed stirred – tank reactor of a constant volume V is having a tracer study done. Prior to the start of the study, the concentration of tracer is zero in the reactor and in the feed stream. At time = 0, Nt moles of tracer is instantaneously charged to the reactor, resulting in an initial tracer concentration of xo. Find the concentration of tracer, x(t) given a reactor volume of V and a flow rate i

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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A tank initially contains 100 L of fresh water. Solution 1 is a brine solution containing 3 kg of salt per L and is allowed to enter the tank at a rate of 2 L/min. Solution 2 is a brine solution containing 2 kg of salt per L and is allowed to enter the tank at a rate of 1 L/min. The well-stirred mixture flows out of the tank at the rate of 4 L/min. Determine the amount of salt (in kg) in the tank after one hour. Round your answer into two (2) decimal places. A. 88.94 kg B. 48.94 kg C. 48.49 kg D. 99.84 kg
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We found that salt is added to the tank at a constant rate and it is removed from the tank at a rate dependent on the concentration of salt in the tank at time t, as follows. Rn = 9 lb/min 2A(t) Ib/min 400 +t Rout = We were originally asked to find the total rate of change of salt in the tank as solution is added to the tank at one rate and removed from the tank at another rate. dA = (input rate of salt) - (output rate of salt) dt Therefore, a differential equation (in Ib/min) for the amount of salt A(t) (in Ib) in the tank at time t> 0 is the following. (Use A for A(t).) dA Ib/min dt
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A tank initially contains 100 liters of pure water. A brine solution con- taining 2 kilograms of salt per liter enters the tank at the rate of 5 liters per minute. Concurrently, the mixture is well-stirred inside the tank and exits through an outlet valve at the rate of 5 liters per minute. Let y(t) be the amount of salt inside the tank at any time t≥ 0. The salt concentration inside the tank reaches kilogram per liter after how many minutes?