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Chemistry calculator

Compressibility Factor Calculator

Calculate gas compressibility factor from measured P, V, n, and T.

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How to use the compressibility factor calculator

  1. Prepare the values for this calculation

    Calculate gas compressibility factor from measured P, V, n, and T. Use the formula below to check that it answers your question. Read the input units before transferring figures from a statement, measurement or dataset.

  2. Enter and check each input

    • Pressure (atm): enter a value at least 0. Use the unit named in the label or selected above. Do not leave this required field blank.
    • Volume (L): enter a value at least 0. Use the unit named in the label or selected above. Do not leave this required field blank.
    • Moles: enter a value at least 1e-06. Use the unit named in the label or selected above. Do not leave this required field blank.
    • Temperature (K): enter a value at least 1e-06. Use the unit named in the label or selected above. Do not leave this required field blank.

    The input table gives a complete example. Keep units and time periods consistent across related fields.

  3. Calculate and resolve any input error

    Choose Calculate after entering the values. Changes also update the answer after a short pause. If an error appears, follow its message, correct the field and calculate again. Reset restores the example values.

  4. Interpret the answer

    Check Compressibility factor Z first. With the unchanged example inputs, it is 1.0155497. Interpret it using the formula and assumptions on this page.

  5. Compare and keep a useful result

    For a controlled comparison, keep every other example input unchanged and change Pressure (atm) from 10 to 11. The resulting Compressibility factor Z is 1.11710467. This illustrates the equation’s response to that input, rather than a forecast of real events.

    Read the chart’s axis labels and data table. A scenario curve changes one stated input while holding the others fixed; it does not add external observations. Use Download graph to save an available chart as a PNG.

    Use Copy result or Download CSV to keep the answer. Share tool shares the page address without placing your input values in the URL. Recheck inputs and assumptions before using the result for a decision.

Compressibility Factor Calculator formula

Z=PV/(nRT).

Inputs and units

Inputs and example values for Compressibility Factor Calculator
InputFormat / rangeExample
Pressure (atm)minimum 010
Volume (L)minimum 02.5
Molesminimum 1e-061
Temperature (K)minimum 1e-06300

Worked example

Using the example inputs above, the compressibility factor z is 1.0155497.

Compressibility factor Z
1.0155497

Results and assumptions

The output uses the compressibility factor z convention and formula shown above. Match the entered units and source assumptions when comparing results.

Fix an input or unexpected result

Pressure (atm) is required. Enter pressure (atm) using the format and bounds in the input table. Zero and an empty field are different: use zero only if it is allowed and represents your data.

If your answer differs from the example, choose Reset and compare every field, including selected units and options. Check percentage versus decimal entry and whether values describe the same period. Round only the final displayed answer when reproducing the formula.

If a discrepancy remains, report the calculator issue with the page address, non-sensitive example inputs, actual result, expected result and a reference for your calculation.