Question

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A star converts all its hydrogen to
helium. Calculate the amount of
energy released in the process,
(Note: Hydrogen = 1.0079 amu,
Helium = 40026 amu)
A
8.0342 MeV
B.
37.0142 MeV​

Answer 1

Given:

• A star converts all its hydrogen to  helium.

• Hydrogen $= 1.0079 \ amu$

• Helium $= 4.0026 \ amu$

To Find:

• Calculate the amount of  energy released in the process.

Solution:

We know that,

              $E = \Delta m c^2$

Here,

         $\Delta m = 4 \times m_{H} - m_{He}$

       $\Delta m = 4 \times 1.0079 - 4.0026$

       $\Delta m = 4.0079 - 4.0026$

        $\Delta m = 0.0053$

Putting all values,

      $E= 0.0053 \times 1.66 \times 10^{-27} \times 9 \times 10^16J$

        $1 eV = 1.6 \times 10^{-19}J$

           $E = 8.0342 \ MeV$

Thus, The amount of  energy released $E = 8.0342 \ MeV$