The amount remaining after 171 hours is 18.75 grams
<h3>How to calculate Exponential Decay?</h3>
Nuclear half-life expresses the time required for half of a sample to undergo radioactive decay. Exponential decay can be expressed mathematically like this:
A(t) = A₀(¹/₂)^(t/t_1/2)
where;
A (t) - the amount left after t years;
A₀ - the initial quantity of the substance that will undergo decay;
t_1/2 - the half-life of the decaying quantity.
We are given;
t_1/2 = 57 hours
t = 171
A₀ = 150
Thus;
A(171) = 150 * (¹/₂)^(171/57)
A(171) = 150 * 0.125
A(171) = 18.75 grams
Thus, the amount remaining after 171 hours is 18.75 grams
Read more about Exponential Decay at; brainly.com/question/15575933
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