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Answer :
The half-life of gold-198 is 2.77 days
What is half-life of gold-198?
- Gold-198 decays with a half-life of 2.7 days to stable mercury-198 by emission of ß particles of maximum energy 0.960 Mev and Y -rays of energies 0.412, 0.68 and 1.09 Mev as shown schematically in In a gold grain, the thickness of the enveloping sheath of platinum is such that the ß particles
- : The amount of time it takes to disintegrate by half an initial amount. For a given reaction, a reactant's half-life t1/2 is the time it takes for its concentration to reach a value which is the arithmetic mean of its initial and final (equilibrium) value.
- Since Au-198 is 200 g originally and it decays to 160 g, so 40g left
- the fraction decay is 40/200 = 0.2
- the time base is 6.25 days
- ln0.2/6.25 = -0.25
- k=ln2/half life therefore half-life = ln2/k = ln2/0.25
- half life = 2.77 days
- So, half life of gold is 2.77 days
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