Complete question:
The starting materials in a nuclear change have a total mass of 2.3465 × 10⁻²⁷ kg. After the change, the resulting materials have a mass of 2.3148 × 10⁻²⁷ kg.
How much energy was released during the change?
Answer:
the energy released during the nuclear change is 2.853 x 10⁻¹² J
Step-by-step explanation:
Given;
total initial mass of the material, m₀ = 2.3465 x 10⁻²⁷ kg
final mass of the material after the nuclear change, m₁ = 2.3148 x 10⁻²⁷ kg
The energy released during the nuclear change is determined using Einstein mass defect equation;
E = Δmc²
where;
c is speed of light = 3 x 10⁸ m/s
Δm is mass defect = m₀ - m₁
Δm = 2.3465 x 10⁻²⁷ kg - 2.3148 x 10⁻²⁷ kg
Δm = 3.17 x 10⁻²⁹ kg
E = (3.17 x 10⁻²⁹)(3 x 10⁸)²
E = 2.853 x 10⁻¹² J
Therefore, the energy released during the nuclear change is 2.853 x 10⁻¹² J