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198Au has a decay constant of 2.97 x 10-6 s-1. Activity of 1 g of the sample will be 9.03×1015 Bq. How many decays per second occur when the sample is one week old

198Au has a decay constant of 2.97 x 10-6 s-1. Activity of 1 g of the sample will be 9.03×1015 Bq. How many decays per second occur when the sample is one week old

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198Au has a decay constant of 2.97 x 10-6 s-1. Activity of 1 g of the sample will be 9.03×1015 Bq. How many decays per second occur when the sample is one week old
Transcribed Image Text:198Au has a decay constant of 2.97 x 10-6 s-1. Activity of 1 g of the sample will be 9.03×1015 Bq. How many decays per second occur when the sample is one week old
Expert Solution
Concept and Principle:
  • Unstable nuclei become stable by radiating energy. This process is called radioactivity. The rate at which this takes place is called activity.

 

  • Radioactivity follows an exponential form. The activity thus is given by the exponential law of radioactive decay.

 

  • As per the exponential law of radioactive decay, the activity of a radioactive sample is given by,

a=a0e−λt

Here a0 is the original activity, λ is the decay constant, and t is the time.

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