A material of mass 1.0 x 10-2kg undergoes a fission process which decreases its mass by 0.02 percent. Calculate the amount of energy released in the process. (c = 3.0 x 108ms-1)
- 1.8 x 1020J
- 1.8 x 1013J
-
1.8 x 1011J
- 1.8 x 1010J
The correct answer is: C
Explanation
To calculate the energy released during the fission process, we can use Einstein's mass-energy equivalence principle, given by the formula:
E = Δmc\(^2\)
m = 1.0 x 10\(^{-2}\)kg
c = 3.0 x 10\(^8\)ms\(^{-1}\)
Mass decrease = 0.02%
Δm = 0.02% x 1.0 x 10\(^{-2}\) = 2.0×10\(^{−6}\)kg
E = Δmc\(^2\) = 2.0×10\(^{−6}\) x (3.0 x 10\(^8\))\(^2\) = 1.8×10\(^{11}\)J