Answer : The mass defect required to release energy is 6111.111 kg
Explanation :
To calculate the mass defect for given energy released, we use Einstein's equation:
[tex]E=\Delta mc^2[/tex]
E = Energy released = [tex]5.5\times 10^{20}J[/tex]
[tex]\Delta m[/tex] = mass change = ?
c = speed of light = [tex]3\times 10^8m/s[/tex]
Now put all the given values in above equation, we get:
[tex]5.5\times 10^{20}Kgm^2/s^2=\Delta m\times (3\times 10^8m/s)^2[/tex]
[tex]\Delta m=6111.111kg[/tex]
Therefore, the mass defect required to release energy is 6111.111 kg