   Chapter 31, Problem 63PE

Chapter
Section
Textbook Problem

Data from the appendices and the periodic table may be needed for these problems.Large amounts of depleted uranium (238U) are available as a by-product of uranium processing for reactor fuel and weapons. Uranium is very dense and makes good counter weights for aircraft. Suppose you have a 4000-kg block of 238U. (a) Find its activity. (b) How many calories per day are generated by thermalization of the decay energy? (c) Do you think you could detect this as heat? Explain.

To determine

(a)

The activity

Explanation

Given Data:

Large amount of depleted uranium238Uare available as a by-product of uranium processing for reactor fuel and weapons. Uranium is very dense and makes good counter weights for aircraft. Suppose you have a 4000- kg block of238U

Formula Used:

Equation of activity,

R=0.693Nt1/2. (1)

Here, N is number of atoms andt1/2is half-life time

N=(m)(1molM)(6.02×10231mol)

Here, m is the mass and M is molar mass.

Calculation:

We have,M=4000Kgandm=238g/mol

So,N=4000kg(1000g1Kg)(1mol238g)(6

To determine

(b)

How many calories per day are generated by thermalization of the decay energy?

To determine

(c)

Do you think you could detect this energy as heat?

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