Chapter 12, Problem 47RE

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Fossil dating** Radioactive beryllium is sometimes used to date fossils found in deep-sea sediment. The amount of radioactive material

Suppose that 10 units of beryllium are present in a living organism and that the half-life of beryllium is 4.6 million years. Find the age of a fossil if

To determine

**To calculate:** The age of fossil found in deep sea sediments if the amount of the radioactive beryllium material *x* satisfies *t* is the time in years and *k* is any constant.

Explanation

**Given Information:**

The rate of amount of radioactive material *t* is directly proportional to the instant amount present is given as,

**Formula used:**

The logarithmic rule of integrals,

The natural logarithm property,

**Calculation:**

Consider the rate of the amount of the radioactive material

Integrate both sides to the provided rate of amount of the radioactive material to get,

Now, use the logarithmic rule of integrals to get,

Now, apply the property of logarithms,

Here, *K* is another constant

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