If 7.84 x 10^7 J of energy is released from a fusion reaction, what amount of mass in kilograms would be lost? Recall that c = 3 x 10^8 m/s.


7.06 x 10^24


8.71 x 10^-4


8.71 x 10^-7


8.71 x 10^-10

Verified Answer :

Use the formula
E=mc^2

plug the values,

TheĀ amount of mass in kilograms would be lost isĀ 8.71 x 10^-10

Answer : The mass lost would be, \(8.71\times 10^{-10}Kg\)

Solution : Given,

Energy released = \(7.84\times 10^{7}J=7.84\times 10^{7}\text{ Kg }m^2/s^2\)

\((1J=1\text{ Kg }m^2/s^2)\)

Speed of light 'c' = \(3\times 10^{8}m/s\)

Formula used :

\(E=m\times c^2\)

where,

E = energy

m = mass

c = speed of light

Now put all the given values in the above formula, we get

\(7.84\times 10^{7}\text{ Kg }m^2/s^2=m\times (3\times 10^{8}m/s)^2\)

\(m=8.71\times 10^{-10}Kg\)

Therefore, the mass lost would be, \(8.71\times 10^{-10}Kg\)