Question

The mass defect of a particular reaction resulted in the production of 5.50 x 10^15 joules of energy. What mass (if totally converted to energy) would correspond to this amount of energy? (1 J = 1 kg m^2/s^2)

1.83 x 10^8 kg

4.95 x 10^7 kg

6.11 x 10^-2 kg

1.64 x 10^-1 kg

Answer 1

This is a late answer but,

6.11 x 10^-2 kg

 

Answer 2

Answer : The correct option is, $6.11\times 10^{-2}Kg$

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 :

$E=m\times c^2$

where,

E = energy  = $5.50\times 10^{15}J$

c = speed of light = $3\times 10^8m/s$

m = mass = ?

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

$5.50\times 10^{15}J=m\times (3\times 10^8m/s)^2$

$m=6.11\times 10^{-2}Kg$

Therefore, the mass defect would be, $6.11\times 10^{-2}Kg$