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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

Calculate the activity R , in curies of 1.00 g of 226Ra. (b) Explain why your answer is not exactly 1.00 Ci, given that the curie was originally supposed to be exactly the activity of a gram of radium.

To determine

(a)

Activity R in curie of 1.0 gram of 266Ra.

Explanation

Given data:

Mass of 266Ra is1gram

The molar mass of 266Ra is 226g/mol.

Avogadro number NA=6.022×1023atompermole.

Formula used:

Continues emission of radiation from the nucleus is known as radioactivity.

Radioactivity is determined by

  R=0.693Nt1/2

Where

R =radioactivity in curie

N =Number of nuclei

T1/2=half life

Number of nuclei in the nuclei is calculated by

  N=mMNa

Where,

N=number of nuclei

M=molar mass of substances

m=mass of substances

Na=Avogadro number

Calculation:

First, we need to find the number of nuclei in 266Ra

  N=mMNa=1226×6.022×1023N=2.6646×1021

Now, radioactivity can be calculated as

  R=0

To determine

Accuracy of activity R.

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