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Lever Rule Phase Fraction Calculator

Find the fraction of each phase in a two-phase region from the overall and phase compositions.

Inputs

Results

Fraction in phase beta50%
Fraction in phase alpha50%

Chart

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How to use the lever rule phase fraction calculator

Find the fraction of each phase in a two-phase region from the overall and phase compositions. Enter overall composition, composition of phase alpha, composition of phase beta in the fields above; the fraction in phase beta, fraction in phase alpha are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “lever rule”, “phase fraction in two phase region”, “phase diagram fraction”, “calculate lever rule phase fraction”, “find fraction in phase beta”.

Formula

Fraction in phase beta (%) = (C0-Ca) / (Cb-Ca) × 100
Fraction in phase alpha (%) = 100-[Fraction in phase beta]

Variables

  • C0 — Overall composition (wt%)
  • Ca — Composition of phase alpha (wt%)
  • Cb — Composition of phase beta (wt%)

Worked example

With overall composition = 40 wt%, composition of phase alpha = 10 wt%, composition of phase beta = 70 wt%, the calculator gives fraction in phase beta ≈ 50 %; fraction in phase alpha ≈ 50 %.

Frequently asked questions

What is the lever rule phase fraction calculator used for?

Find the fraction of each phase in a two-phase region from the overall and phase compositions. It helps with questions such as “lever rule”, “phase fraction in two phase region”, “phase diagram fraction”.

What is the formula for the lever rule phase fraction calculation?

Fraction in phase beta (%) = (C0-Ca) / (Cb-Ca) × 100. Fraction in phase alpha (%) = 100-[Fraction in phase beta]. Here C0 is overall composition (wt%), Ca is composition of phase alpha (wt%), Cb is composition of phase beta (wt%).

What inputs do I need for the lever rule phase fraction calculator?

You need overall composition in wt%, composition of phase alpha in wt%, composition of phase beta in wt%. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the lever rule phase fraction calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the lever rule phase fraction result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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