The problem provides the masses of magnesium metal and a non-metal and asks to calculate the equivalent weight of the non-metal. To solve this problem, we need to understand the concept of equivalent weight and use the given information to find the equivalent weight of the non-metal.

1. Understanding Equivalent Weight:
The equivalent weight of a substance is the mass of that substance that reacts or combines with one mole of hydrogen ions (H+) or one mole of electrons (e-). It is expressed in grams per equivalent (g/equivalent). The equivalent weight can be calculated using the formula:

Equivalent weight = Molar mass / n

Where Molar mass is the mass of the substance in grams per mole (g/mol) and n is the number of hydrogen ions or electrons involved in the reaction.

2. Given Information:
- Mass of magnesium metal (Mg) = 5.47g
- Mass of non-metal = 14.31g

3. Calculating Moles:
To find the equivalent weight of the non-metal, we need to determine the moles of both magnesium and the non-metal. We can calculate the moles using the formula:

Moles = Mass / Molar mass

The molar mass of magnesium is 24.31 g/mol, so the moles of magnesium can be calculated as:
Moles of Mg = 5.47g / 24.31 g/mol = 0.225 mol

4. Balancing the Equation:
Since the reaction is given as the reaction of magnesium with a non-metal, we need to balance the equation to determine the stoichiometry and the number of moles of the non-metal involved.

5. Calculating Equivalent Weight:
Once we know the moles of both magnesium and the non-metal, we can calculate the equivalent weight of the non-metal using the formula:

Equivalent weight = Mass / Moles

The mass of the non-metal is given as 14.31g, and the moles of the non-metal can be determined from the balanced equation. By substituting these values into the formula, we can calculate the equivalent weight of the non-metal.