First, we determine the mass of calcium phosphate that is required. This is obtained by calculating the mass percentage of phosphorus in calcium phosphate, Ca₃(PO₄)₂
% Phosphorus = Mass of P x 100 / total mass
% Phosphorus = (31 * 2 * 100) / (310)
% P = 20%
The amount of calcium phosphate needed will be:
4.13 / 0.2 = 20.65 kg
Now, the ore has 35.1% calcium phosphate, so:
Mass of ore = mass of calcium phosphate required / percentage calcium phosphate
Mass of ore = 20.65 / 0.351
Mass of ore = 58.83 kg
