Question

For the following reaction, 111 grams of perchloric acid (HCIO) are allowed to react with 30.2 grams of tetraphosphorus decao
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Answer #1

12HClO4 + P4O10 ---> 4H3PO4 + 6Cl2O7
mass of HCLO4 = 111 g
molar mass of HCLO4= [1*1.01+1*36.45 + 4*16]g/mol= 100.46 g/mol
number of mols of HClO4 present = 111g/100.46g/mol = 1.104P4H10 mols
mass of P4O10 =30.2 g
molar mass of P4H10 = 4*30.97 g/mol + 10*1.01 g/mol = 133.97 g/mol
number of mols of P4H10 present = 30.2 g/133.97 g/mol = 0.225 mols
mole ratio of HCLO4 : P4h10 = 12:1

So 0.225 mols P4H10 need [12*0.225 mol] HCLO4 = 2.705 mols HClO4 needed

but mols of HCLO4 present = 1.1049 mols
SInce there is fewer mols for HCLO4
Limiting reagent = HCLO4
******************************
Thus moles of product formed depends on mols of limiting reactant

12 mol HCLO4 yields 2 mols H3PO4

So 1.1049 mol HCLO4 yields[4/12*1.10 mol] H3PO4 = 0.3683 mols
we have molar mass of H3PO4 = 98 g/mol
Mass of H3PO4 produced = number of mols of H3PO4*molar mass
= 0.3683 mol*98 g/mol = 36.09 g
************
Since HCLO4 is limiting reactant , P4H10 is excess reactant
1.1049 mols HCLO4 react with [1/12*1.1049 mol of P4H10
= 0.090752 mols
Therfore leftover number of mols of P4H10 = 0.225 mols-0.092075 mol = 0.133 mols
Mass of P4H10 remaining = 0.133 mols*133.97 g/mol = 17.82 g
*****************
:)

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