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 sing

Question

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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Helga 4 years 2021-09-05T09:50:23+00:00 1 Answers 107 views 0

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    2021-09-05T09:52:11+00:00

    Answer:

    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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