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Chapter 5: Q. 5.40 (page 158)

Xenon-133 is used to test lung function; it decays by emitting a beta particle.

a. Write an equation for the beta decay of Xe-133.

b. If the half-life of Xe-133 is 5.2h, how much of a 20 .-mCi sample is still active after 15.6 h?

Short Answer

Expert verified

a.54133Xe鈫�55133Cs+鈭�10e

b. 2.5mCi is still active after 15.6h

Step by step solution

01

Part (a) Step 1: Given Information

Xenon-133is used to test lung function; it decays by emitting a beta particle.

The equation for the beta decay of Xe-133.

02

Part (a) Step 2: Explanation

The equation for the beta decay of Xe-133is,

54133Xe鈫�55133Cs+鈭�10e

03

Part (b) Step 1: Given Information

Xenon-133is used to test lung function; it decays by emitting a beta particle.

The half-life of Xe-133is = localid="1654421626682" 5.2h

Calculating the20.-mCi sample is still active after 15.6h

04

Part (b) Step 2: Explanation

The half-life of Xe-133is =localid="1654421639215" 5.2h

The half-lives inlocalid="1654421643722" 15.6h= 15.65.2=3half lives

The activity initially = 20mCi

Hence after three half-lives, the activity is = 2023=2.5mCi

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