Chapter 1.4, Problem 32E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

An isotope of sodium, ^{24}Na, has a half-life of 15 hours. A sample of this isotope has mass 2 g.

(a) Find the amount remaining after 60 hours.

(b) Find the amount remaining after *t* hours.

(c) Estimate the amount remaining after 4 days.

(d) Use a graph to estimate the time required for the mass to he reduced to 0.01 g.

(a)

To determine

**To find:** The amount remaining isotope of sodium after 60 hours.

Explanation

**Given:**

The half-life of sodium is 15 hours.

The mass of sample sodium = 2g.

**Calculation:**

Let

That is

After 15 hours the amount of sodium is

Substitute 2g for

After 30 hours the amount of sodium

Substitute 1g for

(b)

To determine

**To find:** The amount of sodium after *t* hours.

(c)

To determine

**To estimate:** The remaining amount of sodium after 4 days.

(d)

To determine

**To estimate:** The amount of bismuth reduced to 0.01g.

Sect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10ESect-1.1 P-11E

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