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

Options:
- 1,000
- 1
- 227.4
- 3.79
- 100
- 60

(Note: Fill in the final result on the right side of the equation.)

Answer :

To convert 3.6 gallons per minute to milliliters per second, we need to go through a series of conversion steps, using the given conversion factors. Let's break it down step by step:

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

2. Convert liters to milliliters:
- We know that [tex]\(1\)[/tex] liter is equal to [tex]\(1,000\)[/tex] milliliters.
- Convert the liters per minute result to milliliters per minute by multiplying by the conversion factor:
[tex]\[
13.644 \text{ liters/minute} \times 1000 \text{ milliliters/liter} = 13,644 \text{ milliliters/minute}
\][/tex]

3. Convert minutes to seconds:
- There are [tex]\(60\)[/tex] seconds in a minute.
- To find the rate in milliliters per second, divide the milliliters per minute by the number of seconds in a minute:
[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.