Certain sum glasses having small of `AgCl` incroporated the lenses, on expousure to light of appropriate wavelength turns to gray colour to reduce the glare following the reactions:
`AgCloverset(hv)(rarr) Ag("Gray")+Cl`
If the heat of reaction for the decomposition of `AgCl` is `248 kJ mol^(-1)`, what maximum wavelength is needed to induce the desired process?

Explanation

To find the maximum wavelength needed to induce the decomposition of `AgCl` into `Ag` and `Cl`, we can follow these steps:

### Step 1: Understand the Energy Requirement
The heat of reaction for the decomposition of `AgCl` is given as `248 kJ/mol`. We need to convert this energy into joules for our calculations.

\[ \text{Energy (E)} = 248 \, \text{kJ/mol} = 248 \times 10^3 \, \text{J/mol} \]
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