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You must show all mathematical steps leading to your answer, especially for part

ID: 2310699 • Letter: Y

Question

You must show all mathematical steps leading to your answer, especially for partial credits. Missing mathematical steps will not result in partial credit. A typical star like our sun with a mass of 2 Times 10^30 kg is mainly made of 75% hydrogen and 23% helium and 2% heavier elements. Sun produces energy through nuclear fusion of hydrogen in which hydrogen is converted into helium and energy. Scientists conclude that about 13% of hydrogen is used in star life time for nuclear fusion and it uses this fuel at a rate of 600 million tons per second. Given above information calculate the life span of the star. Extra Credit: How many hydrogen atoms Sun convert in 1 second? 2 points

Explanation / Answer

Every reaction fuses 4 Hydrogen atoms:

(9.3 x 1037 reactions/second) x (6.693 x 10-27 kg/reaction) = 6.224 x 1011 kg/s

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