Since the problem states that excess amount of red
phosphorus is supplied, therefore this only means that all of potassium
chlorate are consumed to form the product tetraphosphorus decoxide.
The reaction is given as:
10KClO3(s) + 3P4(s) → 3P4O10(s) + 10KCl(s)
First, we calculate for the amount of KClO3 in terms of
moles. The molar mass of KClO3 is 122.55 g / mol.
moles KClO3 = 65.1 g / (122.55 g / mol)
moles KClO3 = 0.5312 mol
Using stoichiometric ratio of the balanced reaction, 10
moles of KClO3 produces 3 moles of P4O10, therefore:
moles P4O10 = 0.5312 mol KClO3 (3 moles of P4O10 / 10
moles of KClO3)
moles P4O10 = 0.16 mol
Converting this to mass by multiplying the molar mass of
P4O10 = 283.886 g/mol
mass P4O10 = 0.16 mol * 283.886 g/mol
mass P4O10 = 45.24 g
ANSWER: 45.24 g P4O10