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2 answers:
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Answer:
Step-by-step explanation:
WE willl solve the question for the following equation
1. Add 8c on both sides
2. Add 10 on both sides
3. Substract 2c on both sides
4. Divide both sides by 2
Then, the equation is solved.
Step-by-step explanation:
a.
Initial mass of the isotope = x
Time taken by the sample to decay its mass by 41% = t
Formula used :
where,
= initial mass of isotope = x
N = mass of the parent isotope left after the time, (t) = 59% of x = 0.59x
= half life of the isotope = 4.5 billion years
= rate constant
Now put all the given values in this formula, we get
t = 3.4 billion years
The age a rock is 3.4 billion years.
b.
Initial mass of the isotope = x
Time taken by the sample to decay its mass by 35%= t
Formula used :
where,
= initial mass of isotope = x
N = mass of the parent isotope left after the time, (t) = 65% of x = 0.65x
= half life of the isotope = 4.5 billion years
= rate constant
Now put all the given values in this formula, we get
t = 2.8 billion years
The age a rock is 2.8 billion years.