Question

​​The following table shows some measurements of the decay rate of a radionuclide sample. Find the disintegration constant.
​
Time (min) lnR (Bq)
36 5.08
100 3.29
164 1.52
218 1.00

Answer 1

Heya....

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QUESTION
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The following table shows some measurements of the decay rate of a radionuclides sample .find the disintegration constant

Time (min). InR (Bq)

36 5.08
100. 3.29
164. 1.52
218. 1.00

ANSWER
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According to the question

lnR = lnR0 - λt
So graph of 'lnR' versus 't' is a straight line with slope.
Slope =3.29-5.08/100-36

=-lamdha= 3.29-5.08/100-36

Therefore, lamdha =-(3.29-5.08/100-36)

So lamdha = -1.79/64

Lamdha =-(-0.027)

So, here cancelling minus Sign =0.027

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Hope it helps
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