The slag which is produced in an ilmenite smelter contains X% FeO, Y% TiO₂ and Z% Ti₂O₃. The feeds to the smelter are pure ilmenite (FeTiO₃) and pure carbon. Liquid iron which contains A% C (and the balance Fe) is tapped together with the slag. The liquidus temperature of the slag is approximately 1620C; assume that all the products leave the furnace at this temperature.

GROUP	FeO	TiO2	Ti2O3	%C
A to H	9	45.4	45.6	2
I to K	9.5	44.9	45.6	2
L	9.7	45.4	44.9	2
M	9	45.6	45.6	2
N	9.1	45.4	45.5	2
O	9.3	45.1	45.6	2
P to R	9.4	45	45.6	2
S	9.6	45.4	45	2
T	9.2	45.2	45.6	2
U to V	9.3	45.4	45.3	2
X to Z	9.8	45	45.2	2

NOTE: The above data are considered as base case related to question 1.1 to 1.3

Calculate the masses of slag, liquid iron and CO which are produced per ton of ilmenite.

Calculate the mass of carbon which must be fed to the furnace per ton of ilmenite used.

Calculate the carbon consumption per ton of slag produced.