If 0.3041 g of a diprotic solid acid is neutralized by 35.45 ml of 0.0997 m naoh, calculate the malar mass of solid acid

Respuesta :

Number of moles required to neutralize the solution=0.0354×0.0997

=0.0035mol

2 mol of NaOH required to neutralize 1 mol of diprotic acid.

So moles of acid 0.0035/2=0.0017

Number of moles of acid=Mass of diprotic acid/Molar mass of diprotic acid

0.0017 =0.3041/Molar mass of diprotic acid

Molar mass of diprotic acid=0.3041/0.0017

=178.8 g/mol

The molar mass of the solid acid 172.08 g/mol

To calculate the molar mass of the solid acid,

First, we will write a balanced chemical equation for the reaction

Let the diprotic acid be H₂X

The balanced chemical equation for the reaction is

H₂X + 2NaOH → Na₂X + 2H₂O

This means

1 mole of the diprotic acid is needed to completely neutralize 2 moles of NaOH

Now, we will determine the number of moles of NaOH that reacted

Using the formula

Number of moles = Concentration × Volume

From the question

Volume of NaOH = 35.45 mL = 0.03545 L

Concentration of NaOH = 0.0997 M

∴ Number of moles of NaOH = 0.0997 × 0.03545

Number of moles of NaOH = 0.003534365 moles

Now,

From the balanced chemical equation,

Since 1 mole of the diprotic acid is needed to completely neutralize 2 moles of NaOH

Then,

[tex]\frac{0.003534365}{2}[/tex]  moles of the diprotic acid will be needed to completely neutralize 3.534365 moles of NaOH

[tex]\frac{0.003534365}{2}= 0.0017671825[/tex] moles

0.0017671825 moles of the diprotic acid reacted

Now, for the molar mass of the diprotic acid

From the formula

[tex]Molar\ mass = \frac{Mass}{Number\ of\ moles}[/tex]

From the question

Mass of the diprotic acid neutralized = 0.3041 g

∴ Molar mass of the acid = [tex]\frac{0.3041}{0.0017671825}[/tex]

Molar mass of the acid = 172.08 g/mol

Hence, the molar mass of the solid acid 172.08 g/mol

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