High School

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

(1 gallon = 3.79 liters and 1 liter = 1,000 milliliters)

[tex]
\[
\frac{3.6 \, \text{gal}}{1 \, \text{min}} \times \frac{3.79 \, \text{L}}{1 \, \text{gal}} \times \frac{1000 \, \text{mL}}{1 \, \text{L}} \times \frac{1 \, \text{min}}{60 \, \text{sec}} = \frac{227.4 \, \text{mL}}{1 \, \text{sec}}
\]
[/tex]

Tiles to use:

- 3.79
- 1,000
- 60
- 227.4

Answer :

To convert 3.6 gallons per minute to milliliters per second, we can follow these steps using the conversion factors provided:

1. Convert gallons to liters:
- We know that 1 gallon is equal to 3.79 liters.
- Multiply 3.6 gallons by the conversion factor (3.79 liters per gallon).
- Calculation: [tex]\( 3.6 \, \text{gallons} \times 3.79 \, \frac{\text{liters}}{\text{gallon}} = 13.644 \, \text{liters per minute} \)[/tex].

2. Convert liters to milliliters:
- We know that 1 liter is equal to 1,000 milliliters.
- Multiply 13.644 liters by the conversion factor (1,000 milliliters per liter).
- Calculation: [tex]\( 13.644 \, \text{liters} \times 1,000 \, \frac{\text{milliliters}}{\text{liter}} = 13,644 \, \text{milliliters per minute} \)[/tex].

3. Convert minutes to seconds:
- We know that 1 minute is equal to 60 seconds.
- Divide 13,644 milliliters per minute by the conversion factor (60 seconds per minute) to find the rate in milliliters per second.
- Calculation: [tex]\( \frac{13,644 \, \text{milliliters per minute}}{60 \, \frac{\text{seconds}}{\text{minute}}} = 227.4 \, \text{milliliters per second} \)[/tex].

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