Problem Cl 12 of much concem to environmentalists is radon-222 which is a radioa

Question

Problem Cl 12 of much concem to environmentalists is radon-222 which is a radioactive noble gas that can seep from the ground into basements of homes and buildings, Radon- 222 is a produtt decav ofradium 226 that noors of 1 A home detection kit used to measure the level of radon 222. O previous l 9 of 22 next Part A White the equation for the decay of Ra-226. Express your answer as a nuclear equation. Give Up Correct Part B write the equation for the decay of Rn-222. Express your answer as a nuclear equation. Submit Answers Give up Correct E ENG 2/23/2017 Shift

Explanation / Answer

Volume of the room = length x breadth x height

= 4.9m x6.2m x2.4m

= 72.912m3

We know 1 L = 1.0x10-3 m3

Thus Volume of room in L = 72.912 x 103 L

Now allowed level = 4pCi /L

Allowed level in the room = 4 x72.912 x 103 L

= 2.916x105 pCi

= 2.916x105 x10-12 x3.7x1010 dps per room

= 1.0789x104 dps

From Part B of the question we understand athat each disintegration of Rn-222 gives one alpha particle.

Thus the number of alpha particles generated per second =1.0789x104 dps(disintegrations per second)

the number of alpha particles generated in a day

= 1.0789x104 alpha x1dayx 24hrs x 60min x 60sec/(1hrx1min x 1sec)

= 9.3218x108 alpha particles per day

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