2. The Sun's chemical composition was about 70% hydrogen when it formed, and about 13% of this hydrogen was available fo

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2 The Sun S Chemical Composition Was About 70 Hydrogen When It Formed And About 13 Of This Hydrogen Was Available Fo 1 (34.01 KiB) Viewed 45 times

2. The Sun's chemical composition was about 70% hydrogen when it formed, and about 13% of this hydrogen was available for eventual fusion in the core. (The rest remains in layers of the Sun where the temperature is currently too low for fusion). The mass of the sun is M = 1.99 x 1050 kg. (a) Use the given data to calculate the total mass of hydrogen available for fusion over the lifetime of the Sun. Give your answer in kg. (b) The Sun fuses about 600 billion kilograms of hydrogen each second. Based on your result from part (a), calculate how long the Sun's initial supply of hydrogen can last. Give your answer in years. (c) Given that our solar system is now about 4.6 billion years old, when will we need to worry about the Sun running out of hydrogen for fusion? (d) Consider the Sun's total supply of hydrogen available for fusion that you found in (a), and that 0.700 percent of that mass is converted to energy through the process of fusion. Using Einstein's E = mc, how much total energy does the Sun generate over its lifetime?