"A student analysed a 2.85g sample of washing powder for its phosphorous content.
The phosphorous was precipitated as Mg2P207 and then filtered.
The mass of the precipitate was 0.125g
Determine the percentage by mass, of phosphorous in the washing powder.
Taken from some 2002 trial paper, think its independant schools"
If the student had precipitated pure P then: percentage P would be 0.125/2.85 = 0.04385964912 = (100/1 for perentage) 4.39%
Unfortunatly we arent that lucky as the precip is a compound with several different elements in it.
we have to calculate the molar weight of the precipitated compound
work out how many moles of the compound we have
work out how many moles of P are in that specific compound
multiply our molar weight by the weight of P to work out our mass of P
then we have to divide our mass of p by the original sample mass to find how much of original sample was P
Mg = 24.305 G /mol .. 2 are called for accoding to formula = 48.61 g/mol
P = 30.974 g/mol .. 2 are called for = 61.948 g/mol
o = 15.999 g/mol ..7 are called for =111.993
total weight for 1 mol of Mg2P207 =111.993 + 61.948 + 48.61 =225.551g
weight of sample is 0.125g
therefore moles = samle weight / molar weight
.125/225.551 = 0.00056166901 moles of Mg2P207 but within this there are 2 moles of Mg, 2 Moles of P and 7 Moles of O so to find molar amt P we need to multiply Mg2P207 by 2
0.00056166901 * 2 = moles of Phosphorous = 0.00112333802
Weight (mass) of one mole P = 30.974
Moles we have (0.00056166901) * weight for 1 mole (30.974)= mass P we have = 0.03479427187g P
Our mass of P/ mass of original washing powder sample will give us P
ther ratio of initial sample
0.03479427187g (ie 0.03479427187(P):99.98778803(other stuff)
= 0.1220851645
* 100/1 for percentage
=1.220851645
= 1.22%
This looks very small so im kind of worried ive made a mistake, but the original maximum value of 4% also seems to agree with this low percentage so either ive buggered both calculations up, or there is really not very much P in this sample at all
whats the real answer ?