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Chapter 42: Q.50 (page 1237)

A 115 mCi radioactive tracer is made in a nuclear reactor. When it is delivered to a hospital 16 hours later its activity is 95 mCi. The lowest usable level of activity is 10 mCi.

a. What is the tracer鈥檚 half-life?

b. For how long after delivery is the sample usable?

Short Answer

Expert verified

Activity of a radioactive substance after a time t

R=Roe-位u

Here, t is the time, R is final activity and Ro is initial activity, and is the disintegration constant.

Step by step solution

01

Substitute 115 mCi for Ro 95 mCi for R95 mCi115 mCie-λue-λu=0.826λ=0.19tλ= 0.011875 h-1

here it is.

02

The half-time is

Therefore,

T=0.693位Substitute0.011875h-1for位T=58.35hTherefore,thehlftimeis58.35h

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