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Q.48

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1237

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Short Answer

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 2.96x103kg

See the step by step solution

Step by Step Solution

Step 1

Number of atom is,

Here R0 is initial and r is final decay rate

Step 2

Convert Ci to Bq

So,

And final decay rate is calculated

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

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

Hence the mass of uranium is 2.96x103kg

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