College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Which value is closest to the amount of gasoline in a small car with a full tank (which contains about 13 gallons)?

A. [tex]$85 \mu L$[/tex]

B. 50 L

C. [tex]$3.5 \times 10^2 dL$[/tex]

D. 12 kL

E. 450 mL

Answer :

To determine which value is closest to the amount of gasoline in a small car with a full tank containing about 13 gallons, we need to convert gallons into different units and compare the options.

1. Understand the Units:
- 1 gallon is approximately 3.78541 liters.
- 1 liter is 10 deciliters.
- 1 kiloliter is 1,000 liters.
- 1 liter is 1,000 milliliters.
- 1 microliter (µL) is 0.000001 liters.

2. Convert 13 gallons into different units:
- Liters: Multiply 13 gallons by 3.78541 to find the number of liters.
[tex]\[
13 \times 3.78541 \approx 49.21 \, \text{liters}
\][/tex]

- Deciliters: Since 1 liter is 10 deciliters, multiply the liters by 10.
[tex]\[
49.21 \times 10 \approx 492.1 \, \text{deciliters}
\][/tex]

3. Compare the given values:
- [tex]\(85 \, \mu L\)[/tex] is very small compared to 49.21 liters.
- 50 L: This is closest to our conversion result of approximately 49.21 liters.
- [tex]\(3.5 \times 10^2 \, dL\)[/tex] (350 deciliters), which is less than 49.21 liters converted to deciliters.
- 12 kL is 12,000 liters, which is much larger.
- 450 mL is less than half a liter, much smaller than 49.21 liters.

Therefore, the closest value to the amount of gasoline in a small car with a full tank is 50 L.