A) In order to calculate the maximum mass of SiF4 that can form, also called the theoretical yield, we need to find out which of the two reactants is the limiting reactant:
`SiO_2 + 4HF -> SiF_4 + 2H_2O`
The molar masses we will need to know are:
SiO2: 60.1 g/mol
SiF4: 104 g/mol
moles SiO2 = 30.0g X (1 mol/60.1g) = 0.499 moles
moles HF = (200.0 ml)(1 Liter/1000 ml)(3.00 moles/Liter) = 0.600 moles
The mole ratio of HF to SiO2 is 4:1 according to the balanced equation. We don't have four times as many moles of HF as SiO2, therefore HF is the limiting reactant and it determines the amount of SiF4 that can be produced:
0.600 mol HF X (1 mol SiF4/4 mol HF) X (104g/1mol) = 15.6 g SiF4 that can be produced.
B) The mass of SiO2 that reacted is:
0.600 mol HF X (1 SiO2/4 HF) X (60.1g/1mol) = 9.00 grams
30.0g SiO2 - 9.00g reacted = 21.0 grams SiO2 left unreacted
C) Percent error = actual yield/theoretical yield X 100%
= 13.4g/15.6g = 0.84 X 100% = 84.6% yield
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