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Question: Equivalent weight of crystalline oxalic acid is: A) 90 B) 63 C) 53 D) 45...

Equivalent weight of crystalline oxalic acid is:
A) 90
B) 63
C) 53
D) 45

Explanation

Solution

For the calculation of equivalent Weight, divide the molecular weight with the n-factor of the molecule. n-factor is defined as the number of H+{{\text{H}}^{+}} ions replaced by 1 mol of acid in a reaction and number of OH\text{O}{{\text{H}}^{-}}replaced by 1 mol of base in a reaction.

Complete step by step:
Hydrated Oxalic Acid is a white crystalline organic compound. Oxalic acid acts as a reducing agent for metal oxides to remove tarnish as well as rust or ink stains. It is used commercially as a laundry rinse, wood-bleaching agent, and calcium remover. Oxalic acid can remove some paints and varnishes. It is also used as a mordant in dyeing textiles and in the manufacture of ink.
The formula of oxalic acid is (C2H2O4)\text{(}{{\text{C}}_{2}}{{\text{H}}_{2}}{{\text{O}}_{4}}). Its usual form is that of the crystalline hydrate.
It is represented by the formula (COOH)2.2H2O{{\text{(COOH)}}_{2}}\text{.2}{{\text{H}}_{2}}\text{O}
The formula of hydrated oxalic acid isH2C2O4.2H2O{{\text{H}}_{2}}{{\text{C}}_{2}}{{\text{O}}_{4}}.2{{\text{H}}_{2}}\text{O}. Therefore, the equivalent weight of the acid is molecular weight (126 g/mol) divided by n-factor (valency=2). Therefore, we should divide 126 by 2. Thus, the equivalent weight of oxalic acid is 63.
Mathematically, we can describe the formula as-
The Formula of the Equivalent Weight is given by
Equivalent Weight = Molecular Weight/ No. of Equivalent Moles
The Oxalic Acid(COOH)2.2H2O{{\text{(COOH)}}_{2}}\text{.2}{{\text{H}}_{2}}\text{O}has two moles of acidic H+{{\text{H}}^{+}} that means one mole of oxalic acid can neutralize 2 moles of OH\text{O}{{\text{H}}^{-}}.
Therefore, the no. of equivalent moles = 2
It is also called an n-factor.
Equivalent Weight =Molecular Weight/ No. of Equivalent Moles
=1262=63g/eq mol=\frac{126}{2}=63\text{g/eq mol}
Therefore, the equivalent weight of hydrated oxalic acid=63g/eq mol=63\text{g/eq mol}

Hence, we can conclude that the correct option is (b) 63.

Note: Different acid has different no. of equivalent moles. For example: HCl has 1 equivalent mole whereas H2SO4{{\text{H}}_{2}}\text{S}{{\text{O}}_{4}} has 2 equivalent moles.