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Steady Mass Flow: Volumetric flow rate Calculator

Steady Mass Flow: Calculate volumetric flow rate from Mass flow rate, Density. Check the formula, input units and worked result on this page.

Enter your values

kg/s
Formula symbol: ṁ. Required unit: kg/s. Must be greater than zero.
kg/m³
Formula symbol: ρ. Required unit: kg/m³. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. Density and volumetric flow refer to the same section and are constant. Mass flow is kg/s; volume flow is m³/s.
Example result
Volumetric flow rate
0.012 m³/s

The initial result uses the example values. Enter your own values and calculate again.

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How it works

Use steady mass flow with the units stated beside the fields. This form solves for volumetric flow rate; enter the known quantities in Mass flow rate, Density.

Inputs and units
Steady Mass Flow: Volumetric flow rate Calculator · Inputs and units
InputExample valueWhat to enter
Mass flow rate9 kg/sFormula symbol: ṁ. Required unit: kg/s. Must be greater than zero.
Density750 kg/m³Formula symbol: ρ. Required unit: kg/m³. Must be greater than zero.
Qᵥ = (ṁ / (1 × ρ))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Mass flow rate
9 kg/s
Density
750 kg/m³

Complete example results

Volumetric flow rate
0.012 m³/s

Reading the result

The result solves for volumetric flow rate from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the volumetric flow rate result?

This model uses positive magnitudes. Density and volumetric flow refer to the same section and are constant. Mass flow is kg/s; volume flow is m³/s.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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