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The half-life of radium-226 is 1620 years. How long will it take for the original amount to be reduced by 55%? a) 1874 years b) O 1866 years c) O 1861 years d) O 1856 years O 1876 years

The half-life of radium-226 is 1620 years. How long will it take for the original amount to be reduced by 55%? a) 1874 years b) O 1866 years c) O 1861 years d) O 1856 years O 1876 years

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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d) 4.66 grams e) O 5.16 grams Question 11 The half-life of radium-226 is 1620 years. How long will it take for the original amount to be reduced by 55%? - a) O 1874 years b) 1866 years c) O 1861 years d) O 1856 years e) O 1876 years P Type here to search Links
Transcribed Image Text:d) 4.66 grams e) O 5.16 grams Question 11 The half-life of radium-226 is 1620 years. How long will it take for the original amount to be reduced by 55%? - a) O 1874 years b) 1866 years c) O 1861 years d) O 1856 years e) O 1876 years P Type here to search Links
Expert Solution
Step 1

By help of Following formula,we can calculate time for 55% decomposition of radium-226 -

(1) t1/2 = 0.693/k

(2) k = (2.303/t) log [A]0/[A]

Here,

t1/2 = half life period of radium = 1620 years

k = rate constant = ?

t = time for decomposition = ?

[A]0 = 100

[A] =100- (100×55/100) = 100-55=45

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