Question

The nuclear reaction gives off a total of 10 power 17 j energy. how much mass is spent in this process?

Answer 1

Given conditions ⇒

Energy = 10¹⁷ J.

∵ Energy = mc²

where, m is the mass and c is the speed of light.

∴ m = E/c²

⇒ m = 10¹⁷/(3 × 10⁸)²

= 10¹⁷/(9 × 10¹⁶)

= 10/9

= 1.11 kg.

Hence, the mass is 1.11 kg.

Hope it helps .

Answer 2

Given:

The total energy released in the nuclear reaction, E = 10⁷ J

To Find:

The mass spent in the given nuclear process.

Calculation:

- By Einstein's Mass energy equivalence, the energy is calculated as follows:

E = mc²      (c is speed of light = 3 × 10⁸)

⇒ m = E/c²

⇒ m = 10¹⁷/ (3 × 10⁸)²

⇒ m = 10¹⁷/ (9 × 10¹⁶)

⇒ m = 10/9

⇒ m = 1.11 kg

- So, the mass used in this nuclear process is 1.11 kg.