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21 March, 07:38

It takes four hydrogen nuclei to create one helium nucleus in the proton-proton chain, which is the main energy source of the Sun. If a single hydrogen nucleus has a mass of 1.6726*10-27 kg and a single helium nucleus has a mass of 6.6447*10-27 kg, how much mass is converted into energy to create three helium nuclei?

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  1. 21 March, 11:22
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    0.1371 * 10 ^ - 27 kg

    Explanation:

    From the question number of hydrogen nuclei used to form 3 Helium nuclei = 12 (4 * 3)

    mass of the 12 hydrogen nuclei = 12 * (1.6726 * 10^-27) = 20.0712 * 10 ^-27

    mass of single helium = 6.6447 * 10 ^-27 kg

    therefore the mass of the 3 helium = 3 * (6.6447 * 10 ^-27) = 19.9341 * 10 ^-27 kg

    The mass difference between the hydrogen and the helium used

    = (20.0712 * 10^ - 27) - (19.9341 * 10 ^-27) = 0.1371 * 10 ^ - 27 kg

    therefore 0.1371 * 10^-27 kg is converted into energy to create the three helium nuclei
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