(a) Explanation Given information: A sample of tritium-3 decayed to 94.5% of its original amount after a year. Calculation: A = A 0 e − k t t is in years After 1 yeart =1 and A = 0.945 A 0 Substitute to get 0.945 = e − k … ( i ) Let half-life be x , then A = 0.5 A 0 Substituting to get 0.5 = e − k x 0.5 = ( e − k ) x Substitute 0 (b) To determine To find: time the sample will take to decay to 20% of its original amount.

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Question

Chapter 3.6, Problem 9E

(a)

To determine

To find: the half-life of tritium-3.

(b)

To determine

To find: time the sample will take to decay to 20% of its original amount.

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Chapter 3.6, Problem 8E

Chapter 3.6, Problem 10E

Chapter 3 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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the half-life of tritium-3.

Solution Summary: The author calculates the half-life of tritium-3. It takes 12.25 years to decay to 20% of its original amount.