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A small region of a cancer patient鈥檚 brain is exposed for 24.0 min to 475 Bq of radioactivity from60Co for treatment of a tumor. If the brain mass exposed is 1.858g and each particle emitted has an energy of 5.05脳10-14J, what is the dose in rads

Short Answer

Expert verified

The dose in rads is1.86脳10-3rad

Step by step solution

01

The give data

-1rad=0.01J/kg

- The mass of exposed part of the brain is1.858驳=1.858脳10-3kg

- A brain is exposed to475Bqfrom60Co(1Bq=1d/s)

- The duration of exposure is24min

- Energy of each disintegration is5.051014J

02

Calculation

We have to calculate the dose in rads.

First, let us calculate the number of disintegrations per second

础=475叠辩脳1d/s1Bq=475d/s

Now, let us calculate the number of disintegrations in 24min

Noofdin20min=475ds60s1min脳24尘颈苍=6.84脳105d

Total number of that the brain receives in 20 minutes is

狈辞辞蹿闯=6.84脳105诲脳5.05脳10-14J/d=3.454脳10-8J

Therefore, the dose in rads is

Doseinrads=3.454脳10-8J1.858脳10-3kg1rad0.01J/kg=1.86脳10-3rad

Hence, the dose in rads is1.86脳10-3rad

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