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The radioactive decay of Uranium-238 releases alphas particles and results in a mass change of 0.135 g. Determine the amount of energy released by this reaction

a) 1.22 x 10^13J

b) 1.22 x 10^16J

c) 4.05 x 10^4J

d) 4.05 x 10^7J

Respuesta :

This question involves the concept of binding energy.

The amount of energy released by this reaction is "a) 1.22 x 10¹³ m/s".

What amount of energy is released?

The amount of energy that is released during the radioactive decay of any element is known as binding energy. This can be given by using the following formula:

[tex]E=\Delta mc^2[/tex]

where,

  • E = energy released = ?
  • Δm = mass change = 0.135 g = 1.35 x 10⁻⁴ kg
  • c = speed of light = 3 x 10⁸ m/s

Therefore,

E = (1.35 x 10⁻⁴ kg)(3 x 10⁸ m/s)²

E = 1.22 x 10¹³ m/s

Learn more about binding energy here:

https://brainly.com/question/10095561

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