Question

If $2.9\times {10}^{17}\text{J}$ of energy is released during a nuclear fission, determine the loss in the mass in $\text{kg}$.

• A. $5.7\text{kg}$
• B. $6.4\text{kg}$
• C. $1.8\text{kg}$
• D. $3.2\text{kg}$

Answer 1

The correct option is D $3.2\text{kg}$

Given:
Energy released during the fission,$\text{E}=2.9\times {10}^{17}\text{J}$

We know, $\text{E}=\Delta {\text{mc}}^2$
$\therefore$ the mass lost, $\text{m}=\frac{\text{E}}{{\text{c}}^2}$
$=\frac{2.9\times {10}^{17}}{(3\times {10}^8{)}^2}$

$=3.2\text{kg}$

$⟹3.2\text{kg}$ of mass is lost in the nuclear fission.