In an analytical laboratory, a $20.0\text{ mL}$ sample of an aqueous solution containing oxalic acid ($\text{H}_2\text{C}_2\text{O}_4$) requires exactly $16.0\text{ mL}$ of a $0.05\text{ M}$ potassium permanganate ($\text{KMnO}_4$) solution for complete oxidation in a hot, acidic medium ($\text{H}_2\text{SO}_4$). Calculate the molarity of the oxalic acid solution.