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Radioactive disintegration is a first or...

Radioactive disintegration is a first order reaction and its 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)=lambdaN` Where `lambda=` decay constant, N= number of nuclei at time t, `N_(0)` =intial 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 1.0mole plutonium `-239` ? `(t_(1//2)=24000` yeasrs)

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 temoperature an pressure. The rate of radioactive disintigration (Activity) is respresented as (-d(N))/(dt)=lambdaN Where lambda =decay consatant, N= number of nuclei at time t, N""_(0) =initial no. of nucleei. The above equation after integration can be represented as lamda=2.303/tlog.(N""_(0))/(N) Calculate the half-life period of a radioactive element which remains only 1/16 of it's original amount in 4740 years:

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