A researcher claims that an ancient scroll originated from greek scholars in about 500 bce. a measure of its carbon-14 decay rat

Question

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A researcher claims that an ancient scroll originated from greek scholars in about 500 bce. a measure of its carbon-14 decay rat

e gives a value that is 89% of that found in living organisms. how old is the scroll? (the half-life of carbon-14 is 5730 yr.) express the time in years as an integer.

Chemistry

1 answer:

Naddik [55] · Answer 1 · 2021-12-10T06:58:29+03:00

The amount of substance present in a certain object with a given half-life in terms of h can be expressed through the equation,

A(t) = (A(o))(0.5)^(t/h)

where A(t) is the amount of substance after t years and A(o) is the original amount. In this item we are given that A(t)/A(o) is equal to 0.89. Substituting the known values,

0.89 = (0.5)(t / 5730 years)

The value of t from the equation is 963.34 years.

<em>Answer: 963 years</em>