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All the very heavy atoms found in the earth were created long ago by nuclear fusion reactions in a supernova, an exploding star. The debris spewed out by the supernova later coalesced into the gases from which the sun and the planets of our solar system were formed. Nuclear physics suggests that the uranium isotopes 235 U and 238 U should have been created in roughly equal numbers. Today, 99.28% of uranium is 238 U and only 0.72% is 235 U. How long ago did the supernova occur?

Short Answer

Expert verified

The supernova occurred approximately6billion years ago.

Step by step solution

01

Step 1. Given Information

U235andU238areequalGivenby(N235)=(N238)

02

Given Expression:

N=No12-tt1/2ForU235theabovecanbewrittenN238=(N235)12-tt1/2

03

Given Expression:

N238N235=N238012-tt12235N238012-tt128137.9=12

04

Given Expression:

t=7.1314.47x109yr-17.04x109yr=5.9x109yr

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