In a fission process, the decrease in mass is 0.01%. How much energy could be…

In a fission process, the decrease in mass is 0.01%. How much energy could be obtained from the fission of 0.1g of the material
  • A.
    ( 9.0 times 10^{9}J )
  • B.
    ( 9.0 times 10^{10}J )
  • C.
    ( 6.3 times 10^{11}J )
  • D.
    ( 9.0 times 10^{11}J )
Correct Answer: Option A
Explanation

In general, the energy released during nuclear fission is given by the Einstein’s mass-energy equation, given by
( E = Delta MC^2 )
Where ( Delta m) is the mass defect, and C is the speed of light.
Therefore
( Delta m = 0.01% text{of} 1.0g = frac{0.01}{100}
times 1.0g \
= 1.0 times 10^{-4} \
= 1.0 times 10^{-7}kg\
text{Energy Released } = Delta MC^2 \
= 1.0 times 10^{-7} times (3.0 times 10^8)^2\
= 1.0 times 10^{-2} times 9.0 times 10^{16} \
= 9.0 times 10^9 J )

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