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Radioactive disintegration is a first o...

Radioactive disintegration is a first order reaction and it's rate depends only upon the nature of nucleus and does not depend upon external factors like temperature and pressure . The rate of radioactive disintegration (Activity) is represented as `- (dN)/(dt) = lambda N` , Where `lambda` = decay constant , N number of nuclei at time t , `N_(0)` = initial no. of nuclei.
The above equation after integration can be represented as `lambda = (2.303)/(t) "log" ((N_(0))/(N))`
What is the activity in Ci (curie) of 1.0 mole of Plutonium - 239 ? (`t_(1//2) = 24,000` years)

A

1.49 Ci

B

14.9 Ci

C

`5.513 xx 10^(11) Ci `

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`A = lambda N , ((0.693)/(24000 xx 365 xx 24 xx 60 xx 60)) xx ((6 xx 10^(23))/(3.7 xx 10^(20))) cm^(-2)`
`= 1484.79 xx 10^(13-15) = 1484. 79 xx 10^(-2) = 14.85 C `
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