calculate molecular weight from osmotic pressure and g l Calculator
This professional tool helps you calculate molecular weight from osmotic pressure and g l with precision, delivering instant results, intermediate steps, and a dynamic chart to support laboratory and financial-grade reporting.
Calculator: calculate molecular weight from osmotic pressure and g l
Measured osmotic pressure of the solution in atmospheres.
Enter a valid osmotic pressure greater than 0.
Grams of solute dissolved (g l context).
Enter a valid solute mass greater than 0.
Total solution volume in liters.
Enter a valid solution volume greater than 0.
Measured temperature; converted to Kelvin for calculate molecular weight from osmotic pressure and g l.
Enter a valid temperature above -273.15 °C.
Calculated Molecular Weight
— g/mol
Using M = (g · R · T) / (π · V) with R = 0.082057 L·atm·mol⁻¹·K⁻¹.
Temperature (K): —
Molarity (mol/L): —
Moles of Solute (mol): —
Computed Molecular Weight (g/mol): —
Intermediate table for calculate molecular weight from osmotic pressure and g l
Step
Value
Unit
Temperature
—
K
Molarity from π
—
mol/L
Total moles
—
mol
Molecular weight
—
g/mol
Series A: Molecular weight vs volume variation; Series B: Molecular weight vs temperature variation.
What is calculate molecular weight from osmotic pressure and g l?
calculate molecular weight from osmotic pressure and g l means using measured osmotic pressure, grams of solute, and liters of solution to determine the molar mass of a dissolved substance. Laboratories, pharmaceutical analysts, and solution designers use calculate molecular weight from osmotic pressure and g l to verify compound identity and purity. A common misconception is that calculate molecular weight from osmotic pressure and g l only suits ideal solutions; while non-ideal behavior exists, careful parameter control keeps calculate molecular weight from osmotic pressure and g l highly reliable for most dilute systems.
calculate molecular weight from osmotic pressure and g l Formula and Mathematical Explanation
The core relationship for calculate molecular weight from osmotic pressure and g l uses the van't Hoff equation π = (n/V)RT, where π is osmotic pressure, n/V is molarity, R is the gas constant, and T is absolute temperature. Rearranging gives molarity = π/(RT). In calculate molecular weight from osmotic pressure and g l, total moles equal molarity times volume, and molecular weight equals grams divided by moles. Substituting yields M = (g·R·T)/(π·V). This sequence makes calculate molecular weight from osmotic pressure and g l straightforward and auditable.
Variables
Variables for calculate molecular weight from osmotic pressure and g l
Variable
Meaning
Unit
Typical range
π
Osmotic pressure used to calculate molecular weight from osmotic pressure and g l
atm
0.1–25
g
Solute mass for calculate molecular weight from osmotic pressure and g l
g
0.01–10
V
Solution volume in calculate molecular weight from osmotic pressure and g l
L
0.01–5
T
Absolute temperature supporting calculate molecular weight from osmotic pressure and g l
K
273–330
R
Gas constant applied in calculate molecular weight from osmotic pressure and g l
L·atm·mol⁻¹·K⁻¹
0.082057
Practical Examples (Real-World Use Cases)
Example 1: Small-molecule assay
Inputs for calculate molecular weight from osmotic pressure and g l: π = 2.4 atm, g = 1.2 g, V = 0.6 L, T = 298.15 K. Molarity = 2.4/(0.082057×298.15) ≈ 0.0984 mol/L. Moles = 0.0984×0.6 ≈ 0.0590 mol. calculate molecular weight from osmotic pressure and g l yields M = 1.2/0.0590 ≈ 20.34 g/mol. This confirms a lightweight solute.
Example 2: Biopolymer quality check
Inputs for calculate molecular weight from osmotic pressure and g l: π = 5.8 atm, g = 2.5 g, V = 0.8 L, T = 310.15 K. Molarity = 5.8/(0.082057×310.15) ≈ 0.228 mol/L. Moles = 0.228×0.8 ≈ 0.182 mol. calculate molecular weight from osmotic pressure and g l gives M = 2.5/0.182 ≈ 13.74 g/mol, indicating a modest polymer segment.
How to Use This calculate molecular weight from osmotic pressure and g l Calculator
Enter osmotic pressure, solute mass, solution volume, and temperature. The tool instantly performs calculate molecular weight from osmotic pressure and g l, updates intermediate steps, and draws the chart. Read the main result to see g/mol. Compare intermediate molarity and moles to validate inputs. Use the copy feature to paste calculate molecular weight from osmotic pressure and g l outcomes into lab notebooks or financial-quality reports.
Key Factors That Affect calculate molecular weight from osmotic pressure and g l Results
Temperature accuracy: A 1 °C shift changes calculate molecular weight from osmotic pressure and g l because T is proportional. Pressure calibration: Misread π inflates molarity, skewing calculate molecular weight from osmotic pressure and g l. Volume measurement: Pipette or flask errors alter V in calculate molecular weight from osmotic pressure and g l. Solute purity: Impurities add mass, inflating calculated molecular weight from osmotic pressure and g l. Non-ideal behavior: High concentration reduces linearity of calculate molecular weight from osmotic pressure and g l; dilution mitigates. Gas constant choice: Incorrect R unit mismatches break calculate molecular weight from osmotic pressure and g l consistency. Temperature gradients: Uneven T across the solution affects osmotic pressure, shifting calculate molecular weight from osmotic pressure and g l. Membrane selectivity: In experimental setups, partial permeability alters π, complicating calculate molecular weight from osmotic pressure and g l.
Frequently Asked Questions (FAQ)
Is calculate molecular weight from osmotic pressure and g l accurate for electrolytes? It can be, but adjust for van't Hoff factors to refine calculate molecular weight from osmotic pressure and g l.
What units must match in calculate molecular weight from osmotic pressure and g l? Use atm for π, liters for V, grams for g, Kelvin for T to keep calculate molecular weight from osmotic pressure and g l consistent.
Does temperature correction matter? Yes, a few degrees shift T and change calculate molecular weight from osmotic pressure and g l materially.
Can I reuse the same membrane? Only if permeability is unchanged; otherwise calculate molecular weight from osmotic pressure and g l may drift.
How dilute should solutions be? Dilute enough to approximate ideality for calculate molecular weight from osmotic pressure and g l without precipitation.
What if osmotic pressure is very low? calculate molecular weight from osmotic pressure and g l becomes sensitive to noise; use precise manometry.
Can I compare batches? Yes; calculate molecular weight from osmotic pressure and g l helps batch QC by matching molar mass targets.
Is the calculator suitable for polymers? For small polymers under ideal conditions, calculate molecular weight from osmotic pressure and g l works; otherwise supplement with GPC.
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var R_GAS = 0.082057;
function validateInput(id, errorId, minVal){
var el = document.getElementById(id);
var val = parseFloat(el.value);
var errorEl = document.getElementById(errorId);
if(isNaN(val) || val <= minVal){
errorEl.style.display = "block";
return null;
}
errorEl.style.display = "none";
return val;
}
function calculate(){
var pi = validateInput("osmoticPressure","error-osmoticPressure",0);
var g = validateInput("soluteMass","error-soluteMass",0);
var V = validateInput("solutionVolume","error-solutionVolume",0);
var tC = document.getElementById("temperatureC").value;
var tErr = document.getElementById("error-temperatureC");
var tVal = parseFloat(tC);
if(isNaN(tVal) || tVal <= -273.15){
tErr.style.display = "block";
return;
} else {
tErr.style.display = "none";
}
if(pi===null||g===null||V===null){return;}
var T = tVal + 273.15;
var molarity = pi/(R_GAS*T);
var moles = molarity*V;
var molecularWeight = g/moles;
updateResults(T,molarity,moles,molecularWeight);
updateChart(pi,g,V,T);
}
function updateResults(T,molarity,moles,molecularWeight){
var mainResult = document.getElementById("mainResult");
if(!isFinite(molecularWeight) || molecularWeight<=0){
mainResult.innerHTML = "Invalid input";
} else {
mainResult.innerHTML = molecularWeight.toFixed(4) + " g/mol";
}
document.getElementById("intermediate1").innerHTML = "Temperature (K): " + T.toFixed(2);
document.getElementById("intermediate2").innerHTML = "Molarity (mol/L): " + molarity.toFixed(6);
document.getElementById("intermediate3").innerHTML = "Moles of Solute (mol): " + moles.toFixed(6);
document.getElementById("intermediate4").innerHTML = "Computed Molecular Weight (g/mol): " + molecularWeight.toFixed(4);
document.getElementById("tableTemp").innerHTML = T.toFixed(2);
document.getElementById("tableMolarity").innerHTML = molarity.toFixed(6);
document.getElementById("tableMoles").innerHTML = moles.toFixed(6);
document.getElementById("tableMW").innerHTML = molecularWeight.toFixed(4);
}
function resetCalc(){
document.getElementById("osmoticPressure").value = 2;
document.getElementById("soluteMass").value = 1.5;
document.getElementById("solutionVolume").value = 0.75;
document.getElementById("temperatureC").value = 25;
var errors = document.getElementsByClassName("error");
for(var i=0;i<errors.length;i++){errors[i].style.display="none";}
calculate();
}
function copyResults(){
var text = "";
text += "Calculated Molecular Weight: " + document.getElementById("mainResult").innerText + "\n";
text += document.getElementById("intermediate1").innerText + "\n";
text += document.getElementById("intermediate2").innerText + "\n";
text += document.getElementById("intermediate3").innerText + "\n";
text += document.getElementById("intermediate4").innerText + "\n";
text += "Assumption: Ideal dilute solution with R = 0.082057 L·atm·mol^-1·K^-1.";
var textarea = document.createElement("textarea");
textarea.value = text;
document.body.appendChild(textarea);
textarea.select();
document.execCommand("copy");
document.body.removeChild(textarea);
}
function updateChart(pi,g,V,T){
var canvas = document.getElementById("calcChart");
var ctx = canvas.getContext("2d");
ctx.clearRect(0,0,canvas.width,canvas.height);
ctx.fillStyle="#f8f9fa";
ctx.fillRect(0,0,canvas.width,canvas.height);
var margin = 50;
var width = canvas.width – 2*margin;
var height = canvas.height – 2*margin;
var volumes = [];
var temps = [];
var mwVolume = [];
var mwTemp = [];
var i;
for(i=0;i<5;i++){
var vVal = V* (0.7 + 0.15*i);
var mwV = (g*R_GAS*T)/(pi*vVal);
volumes.push(vVal);
mwVolume.push(mwV);
var tVal = (T-10) + 5*i;
var mwT = (g*R_GAS*tVal)/(pi*V);
temps.push(tVal);
mwTemp.push(mwT);
}
var maxMW = Math.max(Math.max.apply(Math,mwVolume),Math.max.apply(Math,mwTemp));
var minMW = Math.min(Math.min.apply(Math,mwVolume),Math.min.apply(Math,mwTemp));
var xStep = width/4;
function yScale(val){
return margin + height – (val – minMW)/(maxMW – minMW + 1e-6)*height;
}
ctx.strokeStyle="#ccd6e5";
ctx.lineWidth=1;
for(i=0;i<=4;i++){
ctx.beginPath();
ctx.moveTo(margin,margin + i*(height/4));
ctx.lineTo(margin+width,margin + i*(height/4));
ctx.stroke();
}
ctx.fillStyle="#0f1c2e";
ctx.font="12px Arial";
ctx.fillText("MW (g/mol)",margin-40,margin-10);
ctx.fillText("Volume / Temperature variation",margin+width/2-70,margin+height+30);
ctx.strokeStyle="#004a99";
ctx.lineWidth=2;
ctx.beginPath();
for(i=0;i<mwVolume.length;i++){
var x = margin + i*xStep;
var y = yScale(mwVolume[i]);
if(i===0){ctx.moveTo(x,y);} else {ctx.lineTo(x,y);}
}
ctx.stroke();
ctx.fillStyle="#004a99";
for(i=0;i<mwVolume.length;i++){
var xv = margin + i*xStep;
var yv = yScale(mwVolume[i]);
ctx.beginPath();
ctx.arc(xv,yv,4,0,Math.PI*2);
ctx.fill();
}
ctx.strokeStyle="#28a745";
ctx.lineWidth=2;
ctx.beginPath();
for(i=0;i<mwTemp.length;i++){
var xt = margin + i*xStep;
var yt = yScale(mwTemp[i]);
if(i===0){ctx.moveTo(xt,yt);} else {ctx.lineTo(xt,yt);}
}
ctx.stroke();
ctx.fillStyle="#28a745";
for(i=0;i<mwTemp.length;i++){
var x2 = margin + i*xStep;
var y2 = yScale(mwTemp[i]);
ctx.beginPath();
ctx.arc(x2,y2,4,0,Math.PI*2);
ctx.fill();
}
ctx.fillStyle="#0f1c2e";
ctx.fillRect(margin,margin-30,12,12);
ctx.fillText("Series A: MW vs Volume",margin+20,margin-20);
ctx.fillStyle="#28a745";
ctx.fillRect(margin+180,margin-30,12,12);
ctx.fillText("Series B: MW vs Temperature",margin+200,margin-20);
}
document.getElementById("osmoticPressure").oninput = calculate;
document.getElementById("soluteMass").oninput = calculate;
document.getElementById("solutionVolume").oninput = calculate;
document.getElementById("temperatureC").oninput = calculate;
calculate();