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Question

Calculate mass of phosphoric acid required to obtain 53.4 gm pyrophosphoric acid.

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Solution

2H3PO4H3P2O7+H2O
From the given equation,
1 mol of pyrophosphoric acid is produced by 2 mol of phosphoric acid
Molar mass of phosphoric acid =98g
mass of 2 moles of phosphoric acid =2×98 =196g
mass of phosphoric acid required for formation of 1 mol of pyrophosphoric acid = 196 g
Given,
mass of pyrophosphoric acid produced=53.4g
number of moles in 53.4 g of phosphoric acid = 53.4÷177.9=0.3
mass of phosphoric acid required for formation of 0.3 mol of pyrophosphoric acid = 0.3 x 196 = 58.8 g

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