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Compute all parts of following problem given below:

Problem: The sun radiates energy at the rate 3.8×10²⁶W. The source of this energy is fusion, a nuclear reaction in which mass is transformed into energy. The mass of the sun is 2.0×10³⁰kg.

Part I: How much mass does the sun lose each year?

Part II: What percent is this of the sun's total mass?

Part III: Estimate the lifetime of the sun.

Please show complete calculation thank you!

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