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Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

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BuyFindarrow_forward

Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 8, Problem 42E
Textbook Problem
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If the decay of each Tc-99 atom in problem 40 produces a gamma ray, how many gamma rays are emitted in 24 hours?

Interpretation Introduction

Interpretation:

The number of gamma rays emitted by Tc-99 in 24 hours is to be determined.

Concept Introduction:

The time required by a radioactive sample to decompose to half of its mass is called its half-life.

In every half-life, the sample is reduced to half of its mass that was taken initially in the current decay.

Explanation of Solution

The mass of Tc-99 left after 24 days is 1.88 μg and the initial mass of Tc-99 is 30 μg (from problem 40).

The mass of Tc-99 that decayed is calculated as follows:

md=30μg1.88μg=28.1 μg

As 1 mole of a substance contains 6.022×1023 particles, which is equal to the molar mass of 1 atom, the total number of atoms decayed is calculated as follows:

NTc=28.1 μg×1 g Tc1×106 μg Tc×1 mole Tc99 g Tc×6

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Chapter 8 Solutions

Chemistry In Focus
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