Q.48

Expert-verifiedFound in: Page 1237

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A 1 Ci source of radiation is a significant source. 238 U is an alpha emitter. What mass of 238 U has an activity of 1 Ci?

the mass of uranium is 2.96x10^{3}kg

Number of atom is,

Here R_{0} is initial and r is final decay rate

Convert Ci to Bq

So,

And final decay rate is calculated

Substitute 4.47x10^{9} year for t_{1/2} from Appendix C in above final rate equation

Then the number of atom is calculated as follows

Substitute 3.7x10^{10} decay/sec for R_{0} and 4.92x10^{-18} decays for r in above eqution

Hence the mass of uranium is 2.96x10^{3}kg

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