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Answer:
The rock is 3.75 billion years ago.
Explanation:
Given that:
Half life = 1.25 billion years
1 billion years = 10⁹ years
So,
Half life = 1.25 × 10⁹ years
Where, k is rate constant
So,
The rate constant, k = 5.5452 × 10⁻¹⁰ years⁻¹
Initial amount [A₀] = 80 micrograms
Final amount = 10 micrograms
Using integrated rate law for first order kinetics as:
So,
So,
<u>The rock is 3.75 billion years ago.</u>