According to the ionic theory, a basic slag of the following composition: CaO=48.9%, MgO=6.7%, MnO=1.6%, FeO=9.0%, Fe203 =3.3%,Si02 =14.4%,?20 =13.3%andAl^ =4.1% 2+ „2+ M„2+ r.2+ ,3+ aM consistsof Ca",Mg",Mn",Fe",FeJ+ ,Si0",P0",AIO^""andfree 44 0 " ions. Calculate the ion fraction of each ion present in the slag. Mole cularweightvaluesare CaO=56.1,MgO=40.3,MnO=70.9,FeO=71.8, Fe203 = 159.7 , Si02 = 60 , P205 = 142.0 and A1203 = 101.9.
Question
According to the ionic theory, a basic slag of the following composition: CaO=48.9%, MgO=6.7%, MnO=1.6%, FeO=9.0%, Fe203 =3.3%,Si02 =14.4%,?20 =13.3%andAl^ =4.1% 2+ „2+ M„2+ r.2+ ,3+ aM consistsof Ca",Mg",Mn",Fe",FeJ+ ,Si0",P0",AIO^""andfree 44 0 " ions. Calculate the ion fraction of each ion present in the slag. Mole cularweightvaluesare CaO=56.1,MgO=40.3,MnO=70.9,FeO=71.8, Fe203 = 159.7 , Si02 = 60 , P205 = 142.0 and A1203 = 101.9.
Solution
To calculate the ion fraction of each ion present in the slag, we first need to calculate the moles of each compound in the slag. This can be done by dividing the percentage composition by the molecular weight of each compound.
- CaO: 48.9% / 56.1 = 0.8716 moles
- MgO: 6.7% / 40.3 = 0.1663 moles
- MnO: 1.6% / 70.9 = 0.0226 moles
- FeO: 9.0% / 71.8 = 0.1253 moles
- Fe2O3: 3.3% / 159.7 = 0.0207 moles
- SiO2: 14.4% / 60 = 0.24 moles
- P2O5: 13.3% / 142.0 = 0.0937 moles
- Al2O3: 4.1% / 101.9 = 0.0402 moles
Next, we calculate the total moles in the slag by adding up the moles of each compound: 0.8716 + 0.1663 + 0.0226 + 0.1253 + 0.0207 + 0.24 + 0.0937 + 0.0402 = 1.5804 moles
Finally, we calculate the ion fraction of each ion by dividing the moles of each compound by the total moles:
- Ca2+: 0.8716 / 1.5804 = 0.5514
- Mg2+: 0.1663 / 1.5804 = 0.1052
- Mn2+: 0.0226 / 1.5804 = 0.0143
- Fe2+: 0.1253 / 1.5804 = 0.0793
- Fe3+: 0.0207 / 1.5804 = 0.0131
- SiO2: 0.24 / 1.5804 = 0.1518
- P2O5: 0.0937 / 1.5804 = 0.0593
- AlO2-: 0.0402 / 1.5804 = 0.0254
Please note that these values are approximations and the actual ion fractions may vary slightly due to rounding errors.
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