Equivalent weight is calculated by dividing the molecular weight by the valence factor (n-factor). We must determine the n-factor for each compound based on its ions or basicity/acidity.
1. $Na_2CO_3$:
This salt dissociates into $2Na^+$ and $CO_3^{2-}$. Total positive/negative charge = 2.
$$\text{Eq. Wt.} = \frac{106}{2} = 53$$
2. $H_3PO_4$:
This is a tribasic acid. Basicity = 3.
$$\text{Eq. Wt.} = \frac{98}{3} \approx 32.67$$
3. $H_2C_2O_4 \cdot 2H_2O$ (Oxalic Acid Dihydrate):
This is a dibasic acid. Basicity = 2.
$$\text{Eq. Wt.} = \frac{126}{2} = 63$$
4. $AlCl_3$:
This salt dissociates into $Al^{3+}$ and $3Cl^-$. Total charge = 3.
$$\text{Eq. Wt.} = \frac{133.5}{3} = 44.5$$
Conclusion:
Comparing the values: 53, 32.67, 63, and 44.5. The highest equivalent weight is 63, which belongs to hydrated oxalic acid.