Pints per hour to Gallons per second conversion

How to convert pints per hour to gallons per second?

To convert from Pints per hour (pt/hr) to Gallons per second (gal/s), you need to follow these steps:

1. Understand the units involved:

   • There are 8 pints in a gallon (since 1 gallon = 8 pints).
   • There are 3600 seconds in an hour (since 1 hour = 3600 seconds).

2. Set up the conversion:

   • First, convert from pints per hour to pints per second.
   • Then, convert from pints to gallons.

Here's the step-by-step calculation for converting 1 Pint per hour to Gallons per second:

Step 1: Convert Pints per hour to Pints per second

$1 \text{ pt/hr} \times \frac{1 \text{ hr}}{3600 \text{ s}} = \frac{1}{3600} \text{ pt/s}$

Step 2: Convert Pints per second to Gallons per second

$\frac{1}{3600} \text{ pt/s} \times \frac{1 \text{ gallon}}{8 \text{ pt}} = \frac{1}{28800} \text{ gal/s}$

Therefore, $1 \text{ pt/hr} = \frac{1}{28800} \text{ gal/s}$ or approximately, $1 \text{ pt/hr} \approx 3.47 \times 10^{-5} \text{ gal/s}$

Real-world Examples for Other Quantities of Pints per Hour:

1. 2 Pints per hour to Gallons per second:

   • Using the same conversion factor, $2 \text{ pt/hr} = 2 \times \frac{1}{28800} \text{ gal/s} = \frac{2}{28800} \text{ gal/s} \approx 6.94 \times 10^{-5} \text{ gal/s}$

2. 10 Pints per hour to Gallons per second:

   • Again, using the same conversion factor, $10 \text{ pt/hr} = 10 \times \frac{1}{28800} \text{ gal/s} = \frac{10}{28800} \text{ gal/s} \approx 3.47 \times 10^{-4} \text{ gal/s}$

3. 50 Pints per hour to Gallons per second:

   • Similarly, $50 \text{ pt/hr} = 50 \times \frac{1}{28800} \text{ gal/s} = \frac{50}{28800} \text{ gal/s} \approx 1.74 \times 10^{-3} \text{ gal/s}$

Real-World Context and Usage:

• Household Water Consumption: A kitchen faucet might use about 2 pints of water per hour when leaking — that converts to approximately 6.94×10^-5 gal/s.
• Industrial Processes: In a manufacturing plant, a machine might discharge cooling water at a rate of 100 pints per hour, which converts approximately to 3.47×10^-3 gal/s.
• Food and Beverage: In a brewery, a slow drip might release wort at a rate of 5 pints per hour, converting to approximately 1.74×10^-4 gal/s.

These conversions and examples demonstrate how different rates of flow can be understood and measured for practical applications ranging from household issues to industrial processes.