   Chapter 31, Problem 51PE

Chapter
Section
Textbook Problem

Data from the appendices and the periodic table may be needed for these problems.There is more than one isotope of natural uranium. If a researcher isolates 1.00 mg of the relatively scarce 235U and finds this mass to have an activity of 80.0 Bq, what is its half−life in years?

To determine

The half-life of U235 .

Explanation

Given info:

The 1.00mg of U235 has activity 80Bq .

Formula used:

find the number of atoms present in given sample,

N=mMNA

Equation-1

Here, N is the number of atoms, NA Avogadro number and M molar atomic mass of U235

To find the half-life.

t12=0.693×N(U235)R

Equation-1

Here, R is the activity and t12 is the half-life.

Calculation:

To find the number of atoms substitute all known values in equation-1

N(U235)=1×103g235g×6

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