Chemistry: Matter and Change
Chemistry: Matter and Change
1st Edition
ISBN: 9780078746376
Author: Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher: Glencoe/McGraw-Hill School Pub Co
Question
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Chapter 24, Problem 58A
Interpretation Introduction

Interpretation: The half life needs to be calculated.

Concept introduction: The time period that is needed for one-half of a radioisotope’s nuclei to decay into its products is half life.

Expert Solution & Answer
Check Mark

Answer to Problem 58A

Half-life of radioisotope is 126.94 min.

Explanation of Solution

After a given amount of time has elapsed the remaining amount of a radioactive sample is given by the formula is as follows:

N=N0(12)tT

Here N is mass of sample, N0 is original mass, t is the time elapsed and T is duration of samples half life.

Given N=1250.0 g, N0=8510g, t=350 min

Put these values in above equation is as follows:

1250=8450×(12)350T12508450=(12)350T

Apply logarithm the equation is as follows:

log(12508450)=log(12)350minTlog(12508450)=(350minT)log(0.5)0.8299=(350minT)(0.3010)T=350min0.8299×(0.3010)=126.94min

Thus half-life of radioisotope is 126.94 min.

Conclusion

An unknown radioisotope exhibits 8540 decays per second. The half-life of radioisotope is 126.94 min.

Chapter 24 Solutions

Chemistry: Matter and Change

Ch. 24.2 - Prob. 11PPCh. 24.2 - Prob. 12SSCCh. 24.2 - Prob. 13SSCCh. 24.2 - Prob. 14SSCCh. 24.2 - Prob. 15SSCCh. 24.2 - Prob. 16SSCCh. 24.2 - Prob. 17SSCCh. 24.2 - Prob. 18SSCCh. 24.3 - Prob. 19PPCh. 24.3 - Prob. 20PPCh. 24.3 - Prob. 21PPCh. 24.3 - Prob. 22SSCCh. 24.3 - Prob. 23SSCCh. 24.3 - Prob. 24SSCCh. 24.3 - Prob. 25SSCCh. 24.3 - Prob. 26SSCCh. 24.3 - Prob. 27SSCCh. 24.4 - Prob. 28SSCCh. 24.4 - Prob. 29SSCCh. 24.4 - Prob. 30SSCCh. 24.4 - Prob. 31SSCCh. 24.4 - Prob. 32SSCCh. 24.4 - Prob. 33SSCCh. 24 - Prob. 34ACh. 24 - Prob. 35ACh. 24 - Prob. 36ACh. 24 - Prob. 37ACh. 24 - Prob. 38ACh. 24 - Prob. 39ACh. 24 - Prob. 40ACh. 24 - Prob. 41ACh. 24 - Prob. 42ACh. 24 - Prob. 43ACh. 24 - Prob. 44ACh. 24 - Prob. 45ACh. 24 - Prob. 46ACh. 24 - Prob. 47ACh. 24 - Prob. 48ACh. 24 - Prob. 49ACh. 24 - Prob. 50ACh. 24 - Prob. 51ACh. 24 - Prob. 52ACh. 24 - Prob. 53ACh. 24 - Prob. 54ACh. 24 - Prob. 55ACh. 24 - Prob. 56ACh. 24 - Prob. 57ACh. 24 - Prob. 58ACh. 24 - Prob. 59ACh. 24 - Prob. 60ACh. 24 - Prob. 61ACh. 24 - Prob. 62ACh. 24 - Prob. 63ACh. 24 - Prob. 64ACh. 24 - Prob. 65ACh. 24 - Prob. 66ACh. 24 - Prob. 67ACh. 24 - Prob. 68ACh. 24 - Prob. 69ACh. 24 - Prob. 70ACh. 24 - Prob. 71ACh. 24 - Prob. 72ACh. 24 - Prob. 73ACh. 24 - Prob. 74ACh. 24 - Prob. 75ACh. 24 - Prob. 76ACh. 24 - Prob. 77ACh. 24 - Prob. 78ACh. 24 - Prob. 79ACh. 24 - Prob. 80ACh. 24 - Prob. 81ACh. 24 - Prob. 82ACh. 24 - Prob. 83ACh. 24 - Prob. 84ACh. 24 - Prob. 85ACh. 24 - Prob. 86ACh. 24 - Prob. 87ACh. 24 - Prob. 88ACh. 24 - Prob. 89ACh. 24 - Prob. 90ACh. 24 - Prob. 91ACh. 24 - Prob. 92ACh. 24 - Prob. 93ACh. 24 - Prob. 94ACh. 24 - Prob. 95ACh. 24 - Prob. 96ACh. 24 - Prob. 97ACh. 24 - Prob. 98ACh. 24 - Prob. 99ACh. 24 - Prob. 100ACh. 24 - Prob. 101ACh. 24 - Prob. 102ACh. 24 - Prob. 103ACh. 24 - Prob. 104ACh. 24 - Prob. 105ACh. 24 - Prob. 106ACh. 24 - Prob. 107ACh. 24 - Prob. 108ACh. 24 - Prob. 109ACh. 24 - Prob. 1STPCh. 24 - Prob. 2STPCh. 24 - Prob. 3STPCh. 24 - Prob. 4STPCh. 24 - Prob. 5STPCh. 24 - Prob. 6STPCh. 24 - Prob. 7STPCh. 24 - Prob. 8STPCh. 24 - Prob. 9STPCh. 24 - Prob. 10STPCh. 24 - Prob. 11STPCh. 24 - Prob. 12STPCh. 24 - Prob. 13STPCh. 24 - Prob. 14STPCh. 24 - Prob. 15STPCh. 24 - Prob. 16STP
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