An iron meteorite was analysed for its isotopic argon content. The amount of Ar 36 was 1.911 mm 3 (STP) per kg of meteorite. If each Ar 36 atom had been formed by a single cosmic event, how many such

Question

An iron meteorite was analysed for its isotopic argon content. The amount of Ar 36 was 1.911 mm 3 (STP) per kg of meteorite. If each Ar 36 atom had been formed by a single cosmic event, how many such events must there have been per kg of meteorite? If the answer is X, then the value of X/10 16 is (R = 8.4 J/K-mol, N A = 6.0 × 10 23 )

TestHub · Accepted Answer

One event produces one Ar 36 atom, so the number of events equals the number of Ar 36 atoms. Volume at STP = 1.911 mm 3 = 1.911 × 10 -3 cm 3 = 1.911 × 10 -6 L. Moles of Ar = 1.911 × 10 -6 / 22.4 = 8.53 × 10 -8 mol. Atoms (events) X = 8.53 × 10 -8 x 6.0 × 10 23 = 5.12 × 10 16 . X/10 16 = 5 (to the nearest integer).

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