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Q. 71

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1062

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Short Answer

The nuclear reaction that powers the sun is the fusion of four protons into a helium nucleus. The process involves several steps, but the net reaction is simply . The mass of a proton, to four significant figures, is , and the mass of a helium nucleus is known to be .

a. How much energy is released in each fusion?

b. What fraction of the initial rest mass energy is this energy?

a. The energy will released is

b. fraction percentage is

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given information

We have given,

reaction,

Mass of proton =

Mass of helium =

Step 2: Simplify 

The mass difference is ,

Then, the energy will be,

Part 9b) Step 1: Given information

We have given,

Mass of proton =

Mass of Helium =

We have to find the fraction of the initial rest mass energy.

Step 2: Simplify

The initial rest mass energy is ,

Then the fraction will be,

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