The half-life of cesium-137 is approximately 30 years. If an artifact initially contains 100 g ofcesium, find a formula for the amount of cesium in the artifact at any time T.Hint: Use y = Yoe-kTwhere yo is the initial value and k is the decay constant.-In(2)·Ty = 100e 30y = 100ekTy = 100e307y = 30e100T

Answered: The half-life of cesium-137 is…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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4. After 3 days a sample of Radon-222 has decayed to 58% of its original amount. (a) What is the half-life of Radon-222? t = 3 and m(3) = 0.58 n Formula: m(t)= m, e¯™ В то > 0.58 = e-3r → - 3r = In 0.58 = r= 0.1816 The half-life: h =- In 2 = 3.8174 days r (b) How long will it take the sample to decay to 20% of its original amount? m(t)= 0.2 m, = 0.2 = e" - In 0.2 t = 0.1816 rt = – In 0.2 = 8.8625 days
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