The average concentration of `SO_(2)` in the atmosphere over a city on a cetrain day is 10 ppm, when the average temperature is 298 K. Given that the solubility of `SO_(2)` in water at 298 K is `1.3653` mol `litre^(-1)` and the `pK_(a)` of `H_(2)SO_(3)` is `1.92`, estimate the pH of rain on that day.

Explanation

To estimate the pH of rain on the given day, we can follow these steps:

### Step 1: Convert the concentration of SO₂ from ppm to mol/L
Given that the average concentration of SO₂ in the atmosphere is 10 ppm, we can convert this to molarity.

1 ppm means 1 mg of solute per liter of solution. The molar mass of SO₂ is approximately 64.07 g/mol. Therefore, we can calculate the concentration in mol/L as follows:

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