A gardener fertilizer is said to have a phosphorous content of
30.0% soluble in water.
what is the % by mass of the phosphorous in the fertilizer?
A 6.55 % B
13.1 % C 26.2 %
D 30.0 %
Ans ... the balanced reaction is P2O5 +
2H2O............... 2H3PO4
Now 30.0 % of P2O5 (Mr = 142) is 42.6. so mass of phosphorous
will be
142g..........62g in H3PO4
42.6..........x g in H3PO4
x = 18.6 g of Phosphorous
since only 30.0% is soluble so out of total mass of H3PO4 (196)
only 58.8 is available
18.6/58.8 x 100 = 13.8 %
Is the working correct?
The original Cambridge question is different from the one you
paraphrased.
For the original question, P2O5 takes up 30% (by mass) of the
fertilizer.
Calculate % (by mass) of P in P2O5, ie. (2 x Mr of P) / (Mr of
P2O5).
Final answer = (% P in P2O5) x 30%
The "solubility" is just a red-herring, irrelevant to the qn, so
just ignore it.