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/The granite intrusion contains rare zircon crystals, what is the age of the granite?

The intrusion of granite contains crystals of zircon rare, the analysis 207Pb/235U giving a ratio of 0.321, and half-life of 235U (7.04 × 108 years), what is the age of 2 Ma granite figures significant?

After 0 Half-Life: U 100%, Pb 0% from 1 half live U 50%, Pb 50%, after 2 lifetimes U 25%, Pb 75%. Thus that at any given time the U can be determined: U = 100 / (2 ^ n), where ^ means power and n is the number of half-lives. If Pb / U = 0.321 means that Pb = U * 0.321. Pb + U = 100%. So 0.321 + U * U = 100%. This means that U = 75.70%. So 75.70% = 100 / (2 ^ n), so 2 ^ n = 100/75.70, 2 ^ n = 1.321. Thus n = log (base2) 1,321, so that n = log (base10) 1.321/log (base10) 2, so n = 0.120/0.30, so that n = 0.4. We 0.4 half-lives. That is 0.4 * (7.04 * 10 ^ 8) years, 2,816 * 10 ^ 8 years or 281.6 Mi.

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