Nuclear Chemistry and RadioactivityhardMCQ SINGLE⭐ Must-Do

A sample of rock from the moon contains an exactly equal number of atoms of Uranium-238 and Lead-206Nuclear Chemistry and Radioactivity Chemistry Question

Question

A sample of rock from the moon contains an exactly equal number of atoms of Uranium-238 and Lead-206. Assuming all the Lead originated purely from the decay of the Uranium, and given $T_{1/2}$ for U-238 is $4.5 \times 10^9\text{ years}$, calculate the exact age of the rock.

Answer: B

💡 Solution & Explanation

Current U = Pb. Initial U ($N_0$) = Current U + Pb = 2(Current U). Since the amount of U has dropped to exactly half of its original initial amount ($N_U = N_0/2$), exactly one half-life has elapsed. The age is $4.5 \times 10^9\text{ years}$.

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