   Chapter 31, Problem 61PE

Chapter
Section
Textbook Problem

Data from the appendices and the periodic table may be needed for these problems.Armor−piercing shells with depleted uranium cores are ?red by aircraft at tanks. (The high density of the uranium makes them effective.) The uranium is called depleted because it has had its 235U removed for reactor use and is nearly pure 238U. Depleted uranium has been erroneously called non−radioactive. To demonstrate that this is wrong: (a) Calculate the activity of 50.0 g of pure 238U. (b) Calculate the activity of 60.0 g of natural uranium, neglecting the 234U and all daughter nuclides.

(a)

To determine

The activity of pure 238U

Explanation

Given info:

Mass of the pure 238U is

m=60.0g

Formula used:

The activity is

R=0.693Nt12

Calculation:

The number of 238U in 60.0 g of uranium is

N=6.02×1023mol-1238g/mol×60.0g

N=5.04×1022

The half-life of 238U is

t12=1

(b)

To determine

The activity of pure 238U neglecting the 234U and all daughter nuclides.

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