How much energy would be released if $2.0 \mathrm {~kg}$ of material was lost during a reaction? $\left( c = 3.0 \times 10 ^ { 8 } \right.$ $\mathrm { m } / \mathrm { s }$ )
A) $6.0 \times 10 ^ { 8 } \mathrm {~J}$
B) $1.5 \times 10 ^ { 16 } \mathrm {~J}$
C) $1.8 \times 10 ^ { 17 } \mathrm {~J}$
D) $4.7 \times 10 ^ { - 8 } \mathrm {~J}$

Question

Quizplus · Accepted Answer

The energy released can be calculated using Einstein's mass-energy equivalence formula $E = mc^2$. Substituting $m = 2.0 \, \text{kg}$ and $c = 3.0 \times 10^8 \, \text{m/s}$, we get $E = 2.0 \times (3.0 \times 10^8)^2 = 1.8 \times 10^{17} \, \text{J}$.

How Much Energy Would Be Released If 2.0 kg2.0 \mathrm {~kg}2.0 kg Of Material Was Lost During a Reaction

How Much Energy Would Be Released If $2.0 \mathrm {~kg}$ Of Material Was Lost During a Reaction