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Equations for Mass Flow Rate Thermodynamics

Mass Flow Rate Formula:

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

lb/gal
GPM
lb/hr

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1. What is Mass Flow Rate in Thermodynamics?

Definition: Mass flow rate is the amount of mass passing through a given surface per unit time.

Purpose: It's crucial for analyzing and designing systems involving fluid flow, such as pipelines, HVAC systems, and chemical processes.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula converts volumetric flow rate to mass flow rate by accounting for fluid density and time unit conversion.

3. Importance of Mass Flow Rate

Details: Accurate mass flow rate calculations are essential for system design, energy balance calculations, and process control in various engineering applications.

4. Using the Calculator

Tips: Enter the fluid density in lb/gal and volumetric flow rate in GPM. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why multiply by 60 in the formula?
A: The factor converts minutes (from GPM) to hours (for lb/hr) since there are 60 minutes in an hour.

Q2: What's a typical density for water?
A: Water at room temperature has a density of about 8.34 lb/gal.

Q3: Can I use this for gases?
A: Yes, but gas density varies significantly with pressure and temperature, so ensure you have the correct density value.

Q4: How do I convert to other units?
A: For kg/hr, multiply the result by 0.4536. For lb/min, divide by 60.

Q5: What if I know mass flow rate but need volumetric flow?
A: Rearrange the formula: \( Q = \frac{W}{\rho \times 60} \)

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