High School

Complete the steps for converting 3.6 gallons per minute to milliliters per second.

Given:
- 1 gallon = 3.79 liters
- 1 liter = 1,000 milliliters

Conversion formula:

[tex]
\[
\frac{3.6 \, \text{gal}}{1 \, \text{min}} \times \frac{3.79 \, \text{L}}{1 \, \text{gal}} \times \frac{1000 \, \text{mL}}{1 \, \text{L}} \times \frac{1 \, \text{min}}{60 \, \text{sec}} = \frac{x \, \text{mL}}{1 \, \text{sec}}
\]
[/tex]

Complete the formula with these values:

- 3.79 for liters per gallon
- 1000 for milliliters per liter
- 60 for seconds per minute

Answer :

To convert 3.6 gallons per minute to milliliters per second, follow these steps:

1. Convert gallons to liters:
- Use the conversion factor 1 gallon = 3.79 liters.
- Multiply the number of gallons by the conversion factor to find out how many liters per minute you have.
[tex]\[
3.6 \, \text{gallons/minute} \times 3.79 \, \text{liters/gallon} = 13.644 \, \text{liters/minute}
\][/tex]

2. Convert liters to milliliters:
- Use the conversion factor 1 liter = 1,000 milliliters.
- Multiply the number of liters by 1,000 to convert to milliliters per minute.
[tex]\[
13.644 \, \text{liters/minute} \times 1,000 \, \text{milliliters/liter} = 13,644 \, \text{milliliters/minute}
\][/tex]

3. Convert milliliters per minute to milliliters per second:
- There are 60 seconds in a minute, so divide the number of milliliters per minute by 60 to convert to milliliters per second.
[tex]\[
\frac{13,644 \, \text{milliliters/minute}}{60 \, \text{seconds/minute}} = 227.4 \, \text{milliliters/second}
\][/tex]

So, 3.6 gallons per minute is equivalent to 227.4 milliliters per second.