Answer:
[tex]\large\boxed{450tonnes}}[/tex]
Explanation:
1. Balanced chemical equation (given)
[tex]2Fe_2O_3+3C\rightarrow 4Fe+3CO_2[/tex]
2. Mole ratios
They are given by the coefficients of the balanced chemical equation:
[tex]2molFe_2O_3:3molC:4molFe:3molCO_2[/tex]
It means that 4 mol of iron can be obtained from 2 moles of iron oxide. Thus, the conversion factor to go from iron oxide to iron is:
[tex]4molFe/2molFe_2O_3[/tex]
3. Convert 640 tonnes of iron oxide to moles
The symbol for metric tonnes is MT.
[tex]\text{number of moles}=\frac{\text{mass in grams}}{\text{molar mass}}[/tex]
Mass of iron oxide: 640 MT × 1,000 kg/MT × 1,000 g/kg = 640,000,000g
[tex]\text{number of moles}=\frac{640,000,000g}{160g/mol}=4,0000,000mol[/tex]
4. Convert 4,000,000 of moles of iron oxide to moles of iron
[tex]4,000,000molFe_2O_3\times 4molFe/2molFe_2O_3=8,000,000molFe[/tex]
5. Convert 8,000,000 of moles of Fe to mass
You just must multiply by the atomic mass of Fe.
[tex]8,000,000molFe\times 56g/mol=448,000,000g\\ \\448,000,000g\times 1kg/1,000g\times1MT/1,000Kg=448MT\approx 450MT[/tex]
