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Question: What mass of \({H_2}{C_2}{O_4}.2{H_2}O\) (mol mass \( = 126\) ) should be dissolved in water to prep...

What mass of H2C2O4.2H2O{H_2}{C_2}{O_4}.2{H_2}O (mol mass =126 = 126 ) should be dissolved in water to prepare 250mL250mL of a centinormal solution which acts as a reducing agent?
A. 0.63g0.63g
B. 0.1575g0.1575g
C. 0.126g0.126g
D. 0.875g0.875g

Explanation

Solution

Centinormal is a unit of concentration of a solution that is equal to one hundredth of normal. In a redox chemical process, a reducing agent is an element or molecule that loses an electron to an electron recipient (oxidising agent).
Formula used:
Equivalent weight = Molecular weight
Number of equivalent moles

Complete answer:
Per mole of given acid C2O42{C_2}O_4^{2 - } present =1mole = 1mole
C2O4CO2+2e{C_2}{O_4} \to C{O_2} + 2{e^ - }
Therefore, X factor for H2C2O4.2H2O{H_2}{C_2}{O_4}.2{H_2}O as a reducing agent =2 = 2
Hydrated oxalic acid has a molar mass of 126 grammes per mole. Because oxalic acid's chemical formula is COOHCOOHCOOH - COOH , it's clear that it's a dibasic acid with the ability to contribute two H+{H^ + } ions. As a result, the following formula can be used to calculate the equivalent weight of oxalic acid:
Equivalent weight = Molecular weight
Number of equivalent moles
Because one mole of oxalic acid can release two moles of H+ ions and neutralise two moles of OH– ions, the number of equivalent moles is two. As a result, the oxalic acid equivalent weight can be computed as follows:
Equivalent weight =1262=63 = \dfrac{{126}}{2} = 63
250ml250ml of centinormal solution =250100×103 = \dfrac{{250}}{{100 \times {{10}^{ - 3}}}}
Equivalent weight of H2C2O4.2H2O{H_2}{C_2}{O_4}.2{H_2}O required =2501003×103×63 = \dfrac{{250}}{{{{100}^{ - 3}} \times {{10}^{ - 3}} \times 63}}
Equivalent weight of H2C2O4.2H2O{H_2}{C_2}{O_4}.2{H_2}O required =0.1575g = 0.1575g
So, the correct answer is “Option B”.

Note:
Oxalic acid has the chemical formula C2H2O4{C_2}{H_2}{O_4} and is a dicarboxylic acid. Ethanedioic acid is another name for it. Oxalic acid is a weak acid that will only partially ionise in an aqueous solution. Oxalic acid has two protons that are acidic. The first ionisation produces HC2O4H{C_2}O_4^ - , a weak acid that will also ionise.