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Mass Flow Rate Formula

Mass Flow Rate Formula:

\[ W = Q \times \rho \times 60 \]

GPM
lb/gal
lb/hr

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1. What is Mass Flow Rate?

Definition: Mass flow rate is the mass of a substance that passes per unit of time, typically measured in pounds per hour (lb/hr).

Purpose: This calculator converts volumetric flow rate (GPM) to mass flow rate (lb/hr) using the fluid's density.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W = Q \times \rho \times 60 \]

Where:

Explanation: The formula converts GPM to gallons per hour (×60), then multiplies by density to get mass flow rate.

3. Importance of Mass Flow Rate

Details: Mass flow rate is crucial for system design, process control, and equipment sizing in chemical, petroleum, and water treatment industries.

4. Using the Calculator

Tips: Enter the volumetric flow rate in GPM and fluid density (default 8.34 lb/gal for water). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why multiply by 60 in the formula?
A: This converts minutes (GPM) to hours (lb/hr) since mass flow rate is typically expressed per hour.

Q2: What's the density of water?
A: Water is approximately 8.34 lb/gal at standard conditions (60°F, 1 atm).

Q3: How do I find density for other fluids?
A: Check material safety data sheets (MSDS) or engineering references for specific fluid densities.

Q4: Can I use this for gases?
A: No, this formula is for liquids. Gases require different calculations accounting for compressibility.

Q5: What if my flow rate is in different units?
A: Convert to GPM first (1 GPM = 0.06309 L/s = 0.2271 m³/hr).

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