A sample of magnisium metal containing some `MgO` as impurity was dissolved in 125 " mL of " 0.1 N `H_2SO_4`. The volume of `H_2` evolved at `27.3^@C` and 1 atm was 120.1 mL. Resulting solution was found to be 0.02 N with respect to `H_2SO_4`. Calculate (i) the weight of sample dissolved and (ii) the percentage by weight of Mg in the sample. Neglect any change in the volume of the solution (atomic weight of `Mg=24.3`).

Explanation

To solve the problem step by step, we will follow the outlined procedure based on the information provided in the question.

### Step 1: Convert the volume of hydrogen gas (H₂) evolved at the given conditions to STP (Standard Temperature and Pressure).

The volume of H₂ evolved is given as 120.1 mL at 27.3°C and 1 atm. We need to convert this volume to STP conditions (0°C or 273 K and 1 atm).

Using the formula:
\[
...