A nucleus of mass number 240 and having binding energy/nucleon 7.6 MeV splits into two fragments Y, Z of mass numbers 110 and 130 respectively. If the binding energy/nucleon of Y, Z is equal to 8.5 MeV each, calculate the energy released in the nuclear reaction

Explanation

To solve the problem step by step, we will calculate the binding energies of the original nucleus and the fragments, and then find the energy released in the nuclear reaction.

### Step 1: Calculate the Binding Energy of the Original Nucleus (X)

The mass number of the original nucleus (X) is 240, and the binding energy per nucleon is 7.6 MeV.

\[
\text{Total Binding Energy of X} = \text{Mass Number} \times \text{Binding Energy per Nucleon}
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