Question

Multiple-Concept 

Example 6 reveiws the principles that play a role in this problem. A nuclear power reactor generates 4.3 × 109 W of power. In one year (365.25 days), what is the change in the mass of the nuclear fuel due to the energy being taken from the reactor?

Answer 1

P = power = 4.3 x 10⁹ Watt

t = time = 1 year = 365.25 days = 365.25 x 24 x 3600 = 3.156 x 10⁷ sec

E = energy = Pt = 4.3 x 10⁹ x 3.156 x 10⁷

m = change in mass

c = speed of light = 3 x 10⁸ m/s

E = m c²

4.3 x 10⁹ x 3.156 x 10⁷ = m (3 x 10⁸)²

m = 1.51 kg