Physics
Physics
7th Edition
ISBN: 9780321929013
Author: Douglas C. Giancoli
Publisher: PEARSON
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Chapter 30, Problem 1OQ
To determine

The weight of C2760O left after 10.6 years

Expert Solution & Answer
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Answer to Problem 1OQ

Solution:

b)20µg

Explanation of Solution

Given:

Half -life of C2760O, t1/2 = 5.3 years

Initial weight of C2760O, N0= 80µg

Formula used:

Half life of radioactive substance is given by,

t1/2 = 0.693λ ……….. (eq.1)

Where,

λ→ Decay constant

Amount of radioactive substance left after a time ‘t’ is given by,

N = N0eλt ……….. (eq.2)

Where,

N0→ Initial amount

λ → Decay constant

Calculation:

From eqn.1 decay constant of C2760O can be found as,

λ = 0.693t1/2   = 0.6935.3   = 0.1307 year1

Now from eqn.2, amount of C2760O left after 10.6 years can be calculated

N = 80×e0.1307×10.6    = 20.017 μg

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Chapter 30 Solutions

Physics

Ch. 30 - Prob. 10QCh. 30 - Prob. 11QCh. 30 - Prob. 12QCh. 30 - Prob. 13QCh. 30 - Prob. 14QCh. 30 - Prob. 15QCh. 30 - Prob. 16QCh. 30 - Prob. 17QCh. 30 - Prob. 18QCh. 30 - Prob. 19QCh. 30 - Prob. 20QCh. 30 - Prob. 21QCh. 30 - Prob. 22QCh. 30 - Prob. 23QCh. 30 - Prob. 24QCh. 30 - Prob. 25QCh. 30 - Prob. 1MCQCh. 30 - Prob. 2MCQCh. 30 - Prob. 3MCQCh. 30 - Prob. 4MCQCh. 30 - Prob. 5MCQCh. 30 - Prob. 6MCQCh. 30 - Prob. 7MCQCh. 30 - Prob. 8MCQCh. 30 - Prob. 9MCQCh. 30 - Prob. 10MCQCh. 30 - Prob. 11MCQCh. 30 - Prob. 12MCQCh. 30 - Prob. 13MCQCh. 30 - Prob. 14MCQCh. 30 - Prob. 15MCQCh. 30 - Prob. 16MCQCh. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - Prob. 5PCh. 30 - Prob. 6PCh. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - Prob. 11PCh. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - Prob. 14PCh. 30 - Prob. 15PCh. 30 - Prob. 16PCh. 30 - Prob. 17PCh. 30 - Prob. 18PCh. 30 - Prob. 19PCh. 30 - Prob. 20PCh. 30 - Prob. 21PCh. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Prob. 24PCh. 30 - Prob. 25PCh. 30 - Prob. 26PCh. 30 - Prob. 27PCh. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - Prob. 32PCh. 30 - Prob. 33PCh. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - Prob. 41PCh. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Prob. 47PCh. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - Prob. 51PCh. 30 - Prob. 52PCh. 30 - Prob. 53PCh. 30 - Prob. 54PCh. 30 - Prob. 55PCh. 30 - Prob. 56PCh. 30 - Prob. 57PCh. 30 - Prob. 58PCh. 30 - Prob. 59PCh. 30 - Prob. 60GPCh. 30 - Prob. 61GPCh. 30 - Prob. 62GPCh. 30 - Prob. 63GPCh. 30 - Prob. 64GPCh. 30 - Prob. 65GPCh. 30 - Prob. 66GPCh. 30 - Prob. 67GPCh. 30 - Prob. 68GPCh. 30 - Prob. 69GPCh. 30 - Prob. 70GPCh. 30 - Prob. 71GPCh. 30 - Prob. 72GPCh. 30 - Prob. 73GPCh. 30 - Prob. 74GPCh. 30 - Prob. 75GPCh. 30 - Prob. 76GPCh. 30 - Prob. 77GPCh. 30 - Prob. 78GPCh. 30 - Prob. 79GPCh. 30 - Prob. 80GPCh. 30 - Prob. 81GPCh. 30 - Prob. 82GPCh. 30 - Prob. 83GPCh. 30 - Prob. 84GPCh. 30 - Prob. 85GPCh. 30 - Prob. 86GP
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