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]
\[
\frac{3.6 \text{ gal}}{1 \text{ min}} \times \frac{3.79 \text{ L}}{1 \text{ gal}} \times \frac{1,000 \text{ mL}}{1 \text{ L}} \times \frac{1 \text{ min}}{60 \text{ sec}} = [\quad] \frac{\text{mL}}{\text{sec}}
\]
[/tex]

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

Answer :

Sure, let's go through the process of converting 3.6 gallons per minute to milliliters per second step by step.

1. Convert gallons to liters:
[tex]\[
\text{We start with} \ 3.6 \text{ gallons per minute. We convert gallons to liters using the conversion } 1 \text{ gallon} = 3.79 \text{ liters.}
\][/tex]
[tex]\[
3.6 \ \text{gallons/minute} \times 3.79 \ \text{liters/gallon} = 13.644 \ \text{liters/minute}
\][/tex]

2. Convert liters to milliliters:
[tex]\[
\text{Next, we convert liters to milliliters using the conversion } 1 \text{ liter} = 1000 \text{ milliliters.}
\][/tex]
[tex]\[
13.644 \ \text{liters/minute} \times 1000 \ \text{milliliters/liter} = 13,644 \ \text{milliliters/minute}
\][/tex]

3. Convert minutes to seconds:
[tex]\[
\text{Finally, we convert milliliters per minute to milliliters per second using the conversion } 1 \text{ minute} = 60 \text{ seconds.}
\][/tex]
[tex]\[
\frac{13,644 \ \text{milliliters/minute}}{60 \ \text{seconds/minute}} = 227.4 \ \text{milliliters/second}
\][/tex]

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