   Chapter 31, Problem 48PE

Chapter
Section
Textbook Problem

Data from the appendices and the periodic table may be needed for these problems.Mantles for gas lanterns contain thorium, because it forms an oxide that can survive being heated to incandescence for long periods of time. Natural thorium is almost 100% 232Th.

To determine

The activity of 232Th in 300mg of thorium.

Explanation

Given info:

The half-life of 232Th is 1.405×1010y .

An average lantern mantle contains 300mg .

Converting milli-gram to gram.

300mg=300mg×1g1000mg=0.300g

Formula used:

Formula to find the activity is,

R=0.693N14ct12

Calculation:

To find the activity we need to find number of Thorium-232 nuclei in 0.300g sample of Thorium.

N232Th=6.023×1023mol-1232gmol-1×0.30g=7.79×1020

Activity of 14C in 0

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