   Chapter 6, Problem 30RE

Chapter
Section
Textbook Problem

Radioactive Decay Radioactive radium has a half-life of approximately 1599 years. The initial quantity is 15 grams. How much remains after 750 years?

To determine

To calculate: The residual radium after 1599 years.

Explanation

Given:

Radioactive radium has a half-life of approximately 1599 years.

Initial quantity is 15 grams

Formula used:

The rate of decay is given by y=Cekt,

Here y represents the mass and t is time in years and k is constant.

Calculation:

We know that,

y=Cekt …...…... (1)

Putting y=15 and t=0 in equation (1) we get,

15=Cek(0)C=15

Now, use the fact that the half-life of radium is 1599 years, we have y=152 when t = 1599

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