Question

How much energy (in kJ) is produced when 2 kg of substance is fully converted into energy?

• A. 18 × 10¹⁶
• B. 9 × 10¹⁶
• C. 18 × 10¹³
• D. 36 × 10¹³

Answer 1

The correct option is C

18 × 10¹³

Here, mass, m = 2 kg

Velocity of light, c = 3$\times$${10}^8$ $\frac{m}{s}$

Energy produced, E = $m{c}^2=2$ $\times$ (3 $\times$ ${10}^8{)}^2$ = 2 $\times$ 9 $\times$ ${10}^{16}$ = 18 $\times$ ${10}^{16}$ J = 18 $\times$ ${10}^{13}$ kJ