A single electron system has ionization energy ` 1. 118 xx 10^7 J mol^(-1)`. Calculate the number of protons in the nucleus of the system .

Explanation

To solve the problem of determining the number of protons in the nucleus of a single electron system given its ionization energy, we can follow these steps:

### Step 1: Convert Ionization Energy from J/mol to J/atom
The ionization energy is given as \(1.118 \times 10^7 \, \text{J/mol}\). To convert this to joules per atom, we use Avogadro's number (\(N_A = 6.023 \times 10^{23} \, \text{mol}^{-1}\)):

\[ \text{Ionization Energy per atom} = \frac{1.118 \times 10^7 \, \text{J/mol}}{6.023 \times 10^{23} \, \text{mol}^{-1}} \]
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