Chapter 12.5, Problem 50E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Drug in an organ** Suppose that a liquid carries a drug into a 250-cc organ at a rate of 10cc/s and leaves the organ at the same rate. Suppose that the concentration of the drug entering is 0.15g/cc. Find the amount of drug in the organ as a function of time

To determine

**To calculate:** The amount of drugs in the organ as a function of time *t* when the rate of liquid to enter and leave the

Explanation

**Given information:**

The rate of liquid to enter and leave the

**Formula used:**

The logarithmic rule of integrals,

The natural logarithm property,

**Calculation:**

Consider a drug carries liquid at a rate of

Now, let

Rewrite the above differential equation,

Integrate both side of the equation as:

Now, use the logarithmic rule of integrals to get,

Sect-12.1 P-1CPSect-12.1 P-2CPSect-12.1 P-1ESect-12.1 P-2ESect-12.1 P-3ESect-12.1 P-4ESect-12.1 P-5ESect-12.1 P-6ESect-12.1 P-7ESect-12.1 P-8E

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