Question

In a nuclear reaction, the energy released is equal to 8.1 x 1016 joules. Calculate the mass lost in this reaction. (1 J = 1 kg m2/s2) and the speed of light = 3.00 × 10^8 m/s ]

Answer

7.2 x 1032 kg

2.7 x 108 kg

9.0 x 10-1 kg

7.2 x 10-16 kg

Answer 1

Answer : The mass lost in this reaction will be,
`9.0* 10^(-1)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* c^2`

where,

E = energy released =
`8.1* 10^(16)J`

c = speed of light =
`3* 10^8m/s`

m = mass lost = ?

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

`8.1* 10^(16)J=m* (3* 10^8m/s)^2`

`8.1* 10^(16)Kg.m^2/s^2=m* (3* 10^8m/s)^2`

`m=9.0* 10^(-1)Kg`

Therefore, the mass lost in this reaction will be,
`9.0* 10^(-1)Kg`

Answer 2

use the formula E=mc^2
energy given=8.1 x 10^16 joules
speed of light = 3.00 × 10^8 m/s

plug in the values we'll get mass=9.0 x 10-1 kg