Diffusion is the net movement of anything generally from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in chemical potential of the diffusing species, substance or solute. This calculator helps you estimate the rate of diffusion based on Fick's First Law, which is fundamental in understanding mass transport phenomena.
function calculateDiffusionRate() {
var concentrationGradient = parseFloat(document.getElementById("concentrationGradient").value);
var diffusionCoefficient = parseFloat(document.getElementById("diffusionCoefficient").value);
var crossSectionalArea = parseFloat(document.getElementById("crossSectionalArea").value);
var resultDiv = document.getElementById("result");
resultDiv.innerHTML = ""; // Clear previous results
if (isNaN(concentrationGradient) || isNaN(diffusionCoefficient) || isNaN(crossSectionalArea)) {
resultDiv.innerHTML = "Please enter valid numbers for all fields.";
return;
}
if (concentrationGradient < 0 || diffusionCoefficient < 0 || crossSectionalArea < 0) {
resultDiv.innerHTML = "Input values cannot be negative.";
return;
}
// Fick's First Law: J = -D * (dC/dx)
// Here, we're calculating the flux (rate of diffusion per unit area)
// For total rate, we multiply by the cross-sectional area: Rate = J * A = -D * (dC/dx) * A
// We are calculating the magnitude of the flux, so we use the absolute value of the gradient.
var diffusionRate = Math.abs(diffusionCoefficient * concentrationGradient * crossSectionalArea);
resultDiv.innerHTML = "Calculated Rate of Diffusion: " + diffusionRate.toExponential(2) + " mol/s";
}
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