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Chapter 42: Q.48 (page 1237)

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?

Short Answer

Expert verified

the mass of uranium is 2.96x103kg

Step by step solution

01

Step 1

Number of atom is,

Here R0 is initial and r is final decay rate

r=In2t12Heret12ishalf-life
02

Step 2

Convert Ci to Bq

1Ci=3.7x1010Bq

So,

And final decay rate is calculated

Substitute 4.47x109 year for t1/2 from Appendix C in above final rate equation

r=In24.47x109year=(1.55x10-10decay/year)1year31536x103s=4.92x10-18decay/s

03

Step 3

Then the number of atom is calculated as follows

Substitute 3.7x1010 decay/sec for R0 and 4.92x10-18 decays for r in above eqution

N0=7.5x1027atomsThenthemassof7.5x1027atomsism=2.96x103kg

Hence the mass of uranium is 2.96x103kg

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