A balloon (approximate as a sphere) is inflated such that its
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Answer : The age of the artifact is,
Explanation :
Half-life = 5715 years
First we have to calculate the rate constant, we use the formula :
Now we have to calculate the time taken to decay.
Expression for rate law for first order kinetics is given by:
where,
k = rate constant
t = time taken by sample = ?
a = initial activity of the reactant = 58.2 counts per minute
a - x = activity left after decay process = 42.8 counts per minute
Now put all the given values in above equation, we get
Therefore, the age of the artifact is,