How many MeV of energy is released during a reaction in which 1.67 × 10^-25 kg of material is converted to energy? (c = 3.0 × 10⁸ m/s,1 eV = 1.67 × 10^-19 J) A)5.0 × 10^-14 MeV B)4.1 × 10^-7 MeV C)3.1 × 10^-4 MeV D)9.4 × 10⁴ MeV

Question

Quizplus · Accepted Answer

The formula for converting mass to energy is given by Einstein's equation:

E = mc^2

where E is energy, m is mass, and c is the speed of light.

Substituting the given values:

m = 1.67 × 10^-25 kg

c = 3.0 × 10^8 m/s

Converting to Joules:

1 eV = 1.67 × 10^-19 J

Therefore,

m = (1.67 × 10^-25 kg) / (1.67 × 10^-19 J/eV) = 1.0 × 10^6 eV/c^2

Substituting this in the formula:

E = (1.0 × 10^6 eV/c^2) × c^2

Simplifying,

E = 1.0 × 10^6 eV = 1.0 MeV

Therefore, the amount of energy released is 1.0 MeV.

Using the given options, only option D is close to 1 MeV. Hence, the answer is D.

How Many MeV of Energy Is Released During a Reaction