A cesium isotope has a half-life of 36,950 years. What is the continuous compound rate of decay?

Maverick Avery

Maverick Avery

Answered question

2022-10-23

A cesium isotope has a half-life of 36,950 years. What is the continuous compound rate of decay?

Answer & Explanation

Laci Conrad

Laci Conrad

Beginner2022-10-24Added 17 answers

The formula we use to find continuous compound rate of decay is
A = P e r t
At half life amount is given by P 2 also we are given half life time (t)=36950 year.
Putting the value in
A = P e r t P 2 = P e r ( 36950 ) e 36950 ( r ) = 1 2 ln ( e 36950 ( r ) ) = ln 1 2 36950 ( r ) = 0.693147 r = 0.693147 36950 r = 0.000019

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