   Chapter 6, Problem 12PS

Chapter
Section
Textbook Problem

Use the solution of the differential equation in Exercise 11 and the given values to find the concentration C as a function of time t, and use a graphing utility to graph the function.(a) V = 2 liters R = 0.5 liter per minute C 0 = 0.6 mole per liter(b) V = 2 liters R = 1.5 liters per minute C 0 = 0.6 mole per liter

(a)

To determine

To graph: The concentration function C as obtained by V=2 liters,  R=0.5 litre per minute and C0=0.6 mole per litre also graph the function with the use of graphing utility.

Explanation

Given:

The provided differential equation is,

dCdt=(RV)C

where C=C0 at t=0

The provided values are

V=2 litersR=0.5 litre per minuteC0=0.6 mole per litre

Graph:

Consider the provided equation,

dCdt=(RV)C

The solution to this differential equation is,

dCdt=(RV)CdCC=RVdtdCC=RVdtlnC=RVt

(b)

To determine

To graph: The concentration function C as obtained by the provided values.

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