# Mass Flow Rate Calculator

Write the values of the density of the liquid, velocity of the liquid, and flow area of the liquid in their respective tabs and hit on the calculate button to get the mass flow rate.

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## What is the mass flow rate?

The mass flow rate is also known as mass flux and it is a measurement of the amount of mass that passes through a given area per unit of time. It is commonly expressed in units such as kilograms per second (kg/s) or pounds per second (lb/s).

### Formula:

Mass flow rate = Density × Velocity × Area

• Velocity (V) represents the speed at which the substance is flowing.
• Area (A) is the cross-sectional area through which the substance is flowing. It is typically measured in square meters (m²) or square feet (ft²).
• Density (ρ) is the mass per unit volume and is typically measured in kilograms per cubic meter (kg/m³) or pounds per cubic foot (lb/ft³).

## How to find the mass flow rate

Example 1:

Determine the mass flow rate of a liquid if the density of the liquid is 34 kg/m3, the velocity of the liquid is 43 m/s, and the flow area of the liquid is 12 cm2.

Solution

Step 1:

Write the given values

ρ = 34 kg/m3

V = 43 m/s

A = 12 cm2

Step 2:

Using the formula for mass flow rate

m = ρ × V × A

m = 34 × 43 × 12

m = 17544 kg/s

Mass Flow Rate = 17544 kg/s

Example 2:

Determine the mass flow rate of a liquid if the density of the liquid is 45 kg/m3, the velocity of the liquid is 56 m/s, and the flow area of the liquid is 23 cm2.

Solution

Step 1:

Write the given values

ρ = 45 kg/m3

V = 56 m/s

A = 23 cm2

Step 2:

Using the formula for mass flow rate

m = ρ × V × A

m = 45 × 56 × 23

m = 57960 kg/s

Mass Flow Rate = 57960 kg/s