Question

The starting materials in a nuclear change have a total mass of 2.3465 × 10–27 kg. After the change, the resulting materials have a mass of 2.3148 × 10–27 kg.

How much energy was released during the change?

Answer 1

A

Step-by-step explanation:

ED GU NU IT Y PE OP LE

Answer 2

The energy released during the change is
`2.853*10^(-12)\ J`.

Step-by-step explanation:

Given that,

Total mass
`m =2.3465*10^(-27)\ kg`

After change , the mass of resulting materials

`m'=2.3148*10^(-27)\ kg`

Using the Einstein's mass energy equation

`E = mc^2`

The energy released during the change is given by

`\Delta E= \Delta mc^2`

Where,
`\Delta m` is the change of mass in the process

c = speed of light

The change in mass

`\Delta m=m-m'`

`\Delta m=2.3465*10^(-27)-2.3148*10^(-27)`

`\Delta m= 0.0317*10^(-27)\ kg`

We substitute the value into the formula

`\Delta E = 0.0317*10^(-27)*(3*10^(8))^2`

`\Delta E= 2.853*10^(-12)\ J`

Hence, The energy released during the change is
`2.853*10^(-12)\ J`.