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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

`5.513xx10^(11)` Ci

D

`None of these

Text Solution

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The correct Answer is:
B
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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)) Half-life period of U^(232) is 2.5 xx 10^(5) years . In how much time will the amount of U^(237) remaining be only 25% of the original amount ?

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