Respuesta :
use the formula E=mc^2
energy given=8.1 x 10^16 joules
speed of light = 3.00 × 10^8 m/s
plug in the values we'll get mass=9.0 x 10-1 kg
energy given=8.1 x 10^16 joules
speed of light = 3.00 × 10^8 m/s
plug in the values we'll get mass=9.0 x 10-1 kg
Answer : The mass lost in this reaction will be, [tex]9.0\times 10^{-1}Kg[/tex]
Explanation :
According to the Einstein equation, the energy is equal to the product of mass and the square of the speed of light.
The mathematical expression is :
[tex]E=m\times c^2[/tex]
where,
E = energy released = [tex]8.1\times 10^{16}J[/tex]
c = speed of light = [tex]3\times 10^8m/s[/tex]
m = mass lost = ?
Now put all the given values in the above formula, we get the mass lost in the reaction.
[tex]8.1\times 10^{16}J=m\times (3\times 10^8m/s)^2[/tex]
[tex]8.1\times 10^{16}Kg.m^2/s^2=m\times (3\times 10^8m/s)^2[/tex]
[tex]m=9.0\times 10^{-1}Kg[/tex]
Therefore, the mass lost in this reaction will be, [tex]9.0\times 10^{-1}Kg[/tex]