How long can a 54-lb child be exposed to 1.0 mCi of radi-ation from 222Rn before accumulating 1.0 mrad if the energy ofeach disintegration is 5.59 MeV?

Chemistry for Engineering Students
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ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Lawrence S. Brown, Tom Holme
Chapter14: Nuclear Chemistry
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How long can a 54-lb child be exposed to 1.0 mCi of radi-ation from 222Rn before accumulating 1.0 mrad if the energy ofeach disintegration is 5.59 MeV?

Expert Solution
Step 1

Given data contains,

Weight of the child is 54 lb.

Quantity of radiation absorbed is 1.0 mrad.

Radioactivity exposed is 1.0 mCi.

Energy of each disintegration is 5.59 MeV.

Step 2

The energy in terms of Joules/second is calculated as,

Chemistry homework question answer, step 2, image 1

Energy per second of disintegration is 3.3134166×10-5J/s.

The mass of the child is converted into kilogram is calculated as,

1 lb=0.4536 kg54 lb=?kg=54 lb0.4536 kg1 lbW=24.4944 kg

The weight of the child is 24.4944 kg.

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