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University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
BuyFindarrow_forward

University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

A nuclear physicist finds 1.0 μ of 236 U in a piece of uranium ore ( T 1 / 2 = 2.348 × 10 7 y ) . (a) Use die decay law to determine how much 236 U would had to have been on Earth when it formed 4.543 × 10 9 y ago for 1.0 μ g to be left today, (b) What is unreasonable about this result? (c) How is this unreasonable result resolved?

To determine

(a)

The initial amount of uranium.

Explanation

Given:

Present mass of uranium is, M=1μg.

Half life time of uranium is, t1/2=2.348×107y.

Time taken from initial to final uranium t=4.543×109y.

Formula used:

The relation between initial amount and final amount of uraniumis given by

  M=M0e0.693tt 1/2

Calculation:

The initial amount of uranium be calculated as

  M0=Me 0.693t t 1/2 =(1μg)e( 0.693×4.543× 10 9 y 2

To determine

(b)

The unreasonable observation about the result.

To determine

(c)

The way by which the unreasonable result is resolved.

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