   Chapter 31, Problem 41PE

Chapter
Section
Textbook Problem

(a) Calculate the energy released in the a decay of 238U.(b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u.(c) Although the fractional mass loss is laws for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?

To determine

(a)

The energy released in the a decay of U238 ?

Explanation

Given info:

m( U 238 ) = 238.05078826u

m( T 234 h)=234.043601u

m( H 4 e)=4.002602u

Formula used:

Energy,

E=Δmc2

Calculation:

We have the equation,

U

To determine

(b)

What fraction of the mass of a single U238 is destroyed in the decay? The mass of T234h is 234.043593 u?

To determine

(c)

Why although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium?

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