calculate the weight for fe2o3 {primary_keyword} Calculator
Use this professional-grade tool to calculate the weight for Fe₂O₃ required to reach a desired iron mass, including purity, moisture loss, and density adjustments. Results refresh in real time for precise laboratory and industrial planning.
Fe₂O₃ Weight Requirement Calculator
Mass of Fe you need to deliver using Fe₂O₃.
Percent of Fe₂O₃ that is pure ferric oxide after removing gangue.
Expected water loss; higher moisture means you need more material.
Typical bulk density of Fe₂O₃ powder; used to estimate volume.
Fe vs O mass distribution in the required Fe₂O₃ batch.
Fe mass series
O mass series
What is {primary_keyword}?
The phrase calculate the weight for fe2o3 {primary_keyword} refers to determining how much ferric oxide (Fe₂O₃) is needed to supply a target mass of elemental iron while accounting for purity, moisture, and density. Engineers, metallurgists, battery manufacturers, pigment producers, and mining analysts should calculate the weight for fe2o3 {primary_keyword} to balance costs, yields, and logistics.
Common misconceptions about calculate the weight for fe2o3 {primary_keyword} include assuming 100% purity, ignoring moisture loss, and overlooking the 30.06% oxygen share. This calculator keeps calculate the weight for fe2o3 {primary_keyword} precise by embedding the stoichiometric ratio of iron to oxygen.
{primary_keyword} Formula and Mathematical Explanation
To calculate the weight for fe2o3 {primary_keyword}, we begin with the molar masses: Fe₂O₃ = 159.687 g/mol, iron portion = 2 × 55.845 g/mol = 111.69 g, oxygen portion = 47.997 g. The iron fraction is 111.69 ÷ 159.687 = 0.6994, the oxygen fraction is 0.3006.
The required Fe₂O₃ mass equals target Fe mass divided by the effective iron fraction after adjusting for purity and moisture. The calculator embeds this to make calculate the weight for fe2o3 {primary_keyword} reliable in laboratory and industrial contexts.
Variable meanings for calculate the weight for fe2o3 {primary_keyword}.
Variable
Meaning
Unit
Typical range
Fe_target
Desired elemental iron mass
g
10–10,000
Purity
Usable Fe₂O₃ fraction
%
85–99
Moisture
Mass lost to water
%
0–8
Density
Bulk density of Fe₂O₃
g/cm³
4.8–5.5
Fe_frac
Stoichiometric Fe share
decimal
0.6994 fixed
Practical Examples (Real-World Use Cases)
Example 1: Steel plant sinter mix
Inputs: target Fe = 1,200 g, purity = 96%, moisture = 3%, density = 5.24 g/cm³. The calculator outputs required Fe₂O₃ ≈ 1,814.6 g, moles ≈ 11.36 mol, oxygen mass ≈ 545.7 g, volume ≈ 346.3 cm³. Interpretation: ordering 1.81 kg of Fe₂O₃ covers the iron requirement while compensating for loss on drying.
Example 2: Battery cathode batch
Inputs: target Fe = 250 g, purity = 99%, moisture = 1%, density = 5.24 g/cm³. Results: required Fe₂O₃ ≈ 357.6 g, moles ≈ 2.24 mol, oxygen mass ≈ 107.5 g, volume ≈ 68.3 cm³. Interpretation: calculate the weight for fe2o3 {primary_keyword} shows the mass to stage in the precursor feed.
How to Use This {primary_keyword} Calculator
Step 1: Enter your target elemental iron mass in grams. Step 2: Input Fe₂O₃ purity as a percentage. Step 3: Add expected moisture loss. Step 4: Set bulk density to estimate storage volume. The tool will calculate the weight for fe2o3 {primary_keyword} instantly, showing required Fe₂O₃, moles, oxygen share, and volume.
Read the primary highlighted result for procurement, then review intermediate values for reactor sizing and gas balance. The chart visualizes Fe versus oxygen distribution so you can decide packaging, furnace atmosphere, and logistics.
Key Factors That Affect {primary_keyword} Results
Purity: Lower purity reduces usable iron, raising the mass when you calculate the weight for fe2o3 {primary_keyword}. Moisture: High moisture inflates shipping mass and changes dryer loads. Density: Lower bulk density increases storage volume. Target Fe mass: Large batches magnify small percentage errors. Process loss: Oxidation or dusting can change delivered iron, so conservative estimates are wise. Cost per tonne: Financial models rely on accurate calculate the weight for fe2o3 {primary_keyword} values to estimate cash flow. Energy rates: Drying and grinding energy scale with mass. Transport fees: Freight is mass-based, so correct calculate the weight for fe2o3 {primary_keyword} avoids underbudgeting.
Frequently Asked Questions (FAQ)
What if purity is unknown? Use a conservative lower purity to calculate the weight for fe2o3 {primary_keyword} and avoid underdosing iron.
Does particle size change the result? No, but it affects density and flow; the mass from calculate the weight for fe2o3 {primary_keyword} stays stoichiometric.
Can I use this for magnetite? No, magnetite is Fe₃O₄; the iron fraction differs, so recalc or only use for Fe₂O₃.
How does moisture impact? Higher moisture raises required gross mass; calculate the weight for fe2o3 {primary_keyword} adds this explicitly.
Is the Fe fraction always 69.94%? Yes, stoichiometrically for Fe₂O₃.
What density should I choose? Use measured bulk density; default 5.24 g/cm³ fits many powders.
Can I convert to kg? Divide results by 1000 after you calculate the weight for fe2o3 {primary_keyword}.
What if inputs are zero? The calculator flags errors; valid positive numbers are required to calculate the weight for fe2o3 {primary_keyword}.
Related Tools and Internal Resources
{related_keywords} — additional guidance on calculate the weight for fe2o3 {primary_keyword} applications.
{related_keywords} — mass balance resources linked to calculate the weight for fe2o3 {primary_keyword} planning.
{related_keywords} — stoichiometry support for calculate the weight for fe2o3 {primary_keyword} projects.
{related_keywords} — sourcing strategy tied to calculate the weight for fe2o3 {primary_keyword}.
{related_keywords} — logistics calculators connected to calculate the weight for fe2o3 {primary_keyword}.
{related_keywords} — QA checklists complementing calculate the weight for fe2o3 {primary_keyword} usage.
var molarFe2O3 = 159.687;
var feFraction = (2*55.845)/molarFe2O3;
var oFraction = 1 – feFraction;
function formatNumber(num, decimals){
return isNaN(num) ? "–" : num.toFixed(decimals);
}
function validateInput(id, min, max){
var el = document.getElementById(id);
var val = parseFloat(el.value);
var errorEl = document.getElementById("error-"+id);
var valid = true;
if(isNaN(val)){
errorEl.innerHTML = "Please enter a number.";
el.style.borderColor = "#c62828";
valid = false;
}else if(val max){
errorEl.innerHTML = "Value must be below "+max+".";
el.style.borderColor = "#c62828";
valid = false;
}else{
errorEl.innerHTML = "";
el.style.borderColor = "#ccd6e0";
}
return valid;
}
function calculateFe2O3(){
var validTarget = validateInput("targetIron",0.0001,null);
var validPurity = validateInput("purity",0.1,100);
var validMoisture = validateInput("moisture",0,99.9);
var validDensity = validateInput("density",0.01,null);
if(!validTarget || !validPurity || !validMoisture || !validDensity){
document.getElementById("mainResult").innerHTML = "Please correct inputs";
updateDisplays(null,null,null,null,null);
return;
}
var targetIron = parseFloat(document.getElementById("targetIron").value);
var purity = parseFloat(document.getElementById("purity").value)/100;
var moisture = parseFloat(document.getElementById("moisture").value)/100;
var density = parseFloat(document.getElementById("density").value);
var effectiveFeFraction = feFraction * purity * (1 – moisture);
if(effectiveFeFraction <= 0){
document.getElementById("mainResult").innerHTML = "Invalid effective Fe fraction";
updateDisplays(null,null,null,null,null);
return;
}
var requiredFe2O3 = targetIron / effectiveFeFraction;
var molesFe2O3 = requiredFe2O3 / molarFe2O3;
var oxygenMass = requiredFe2O3 * oFraction;
var volume = requiredFe2O3 / density;
document.getElementById("mainResult").innerHTML = formatNumber(requiredFe2O3,2)+" g";
updateDisplays(requiredFe2O3,molesFe2O3,oxygenMass,volume,effectiveFeFraction*100);
drawChart(requiredFe2O3*feFraction, oxygenMass);
}
function updateDisplays(req,mol,oMass,vol,effFe){
document.getElementById("intermediate1").innerHTML = "Moles of Fe₂O₃: "+formatNumber(mol,4)+" mol";
document.getElementById("intermediate2").innerHTML = "Oxygen mass in batch: "+formatNumber(oMass,2)+" g";
document.getElementById("intermediate3").innerHTML = "Estimated volume: "+formatNumber(vol,2)+" cm³";
document.getElementById("intermediate4").innerHTML = "Effective Fe fraction applied: "+formatNumber(effFe,2)+" %";
document.getElementById("tableFe").innerHTML = formatNumber(parseFloat(document.getElementById("targetIron").value),2);
document.getElementById("tableFe2O3").innerHTML = formatNumber(req,2);
document.getElementById("tableO").innerHTML = formatNumber(oMass,2);
document.getElementById("tableMol").innerHTML = formatNumber(mol,4);
document.getElementById("tableVol").innerHTML = formatNumber(vol,2);
}
function resetFe2O3(){
document.getElementById("targetIron").value = 500;
document.getElementById("purity").value = 98;
document.getElementById("moisture").value = 2;
document.getElementById("density").value = 5.24;
calculateFe2O3();
}
function copyResults(){
var text = "Required Fe₂O₃: "+document.getElementById("mainResult").innerText+
"\nMoles: "+document.getElementById("intermediate1").innerText.replace("Moles of Fe₂O₃: ","")+
"\nOxygen mass: "+document.getElementById("intermediate2").innerText.replace("Oxygen mass in batch: ","")+
"\nVolume: "+document.getElementById("intermediate3").innerText.replace("Estimated volume: ","")+
"\nEffective Fe fraction: "+document.getElementById("intermediate4").innerText.replace("Effective Fe fraction applied: ","")+
"\nAssumptions: Fe fraction "+formatNumber(feFraction*100,2)+"%, molar mass 159.687 g/mol.";
if(navigator.clipboard && navigator.clipboard.writeText){
navigator.clipboard.writeText(text);
}else{
var temp = document.createElement("textarea");
temp.value = text;
document.body.appendChild(temp);
temp.select();
document.execCommand("copy");
document.body.removeChild(temp);
}
}
function drawChart(feMass, oMass){
var canvas = document.getElementById("massChart");
var ctx = canvas.getContext("2d");
ctx.clearRect(0,0,canvas.width,canvas.height);
var maxVal = Math.max(feMass, oMass, 1);
var barWidth = 120;
var gap = 80;
var startX = (canvas.width – (barWidth*2 + gap))/2;
var baseY = canvas.height – 30;
var scale = (canvas.height – 80)/maxVal;
ctx.fillStyle = "#e9eef5";
ctx.fillRect(0,0,canvas.width,canvas.height);
ctx.fillStyle = "#004a99";
var feBarHeight = feMass * scale;
ctx.fillRect(startX, baseY – feBarHeight, barWidth, feBarHeight);
ctx.fillStyle = "#28a745";
var oBarHeight = oMass * scale;
ctx.fillRect(startX + barWidth + gap, baseY – oBarHeight, barWidth, oBarHeight);
ctx.fillStyle = "#1b1b1b";
ctx.font = "14px Arial";
ctx.fillText("Fe mass", startX + 20, baseY + 18);
ctx.fillText("O mass", startX + barWidth + gap + 25, baseY + 18);
ctx.fillText("g", canvas.width – 30, 20);
ctx.beginPath();
ctx.moveTo(50, baseY);
ctx.lineTo(canvas.width – 50, baseY);
ctx.strokeStyle = "#708090";
ctx.lineWidth = 1;
ctx.stroke();
ctx.fillStyle = "#1b1b1b";
ctx.fillText("0", 30, baseY);
ctx.fillText(formatNumber(maxVal,2), 10, 40);
}
document.addEventListener("DOMContentLoaded", function(){
calculateFe2O3();
});