Before a nuclear reaction, there is 0.01000 kg of uranium. After the nuclear reaction, there is 0.00950 kg of uranium. How much energy was released? (h = 6.63 × 1034 Js)
To calculate the amount of energy released in this nuclear reaction, you can use Einstein's mass-energy equivalence equation, E = mc^2, where E represents the energy released, m is the mass change, and c is the speed of light.
First, calculate the mass change by subtracting the final mass from the initial mass:
Mass change = Initial mass - Final mass
= 0.01000 kg - 0.00950 kg
= 0.00050 kg
Next, plug the mass change value into the equation E = mc^2:
E = (0.00050 kg) * (3.00 × 10^8 m/s)^2
≈ 0.00050 kg * 9.00 x 10^16 m^2/s^2
= 4.50 × 10^13 Joules
Therefore, approximately 4.50 × 10^13 Joules of energy were released in this nuclear reaction.