Which conversion factor is the SECOND step in converting convert 15.0 liters into fluid ounces? liter 1000 mL 354 mL 12 fluid ounces 354 mL 12 fluid ounces liter 1000 mL 12 fluid ounces 354 mL 1000 mL liter
The Correct Answer and Explanation is:
To convert 15.0 liters into fluid ounces, the correct second conversion factor is 354 mL = 12 fluid ounces. Here’s why:
Conversion Steps:
- Start with the given amount in liters:
- 15.0 liters (L).
- First conversion factor: Convert liters to milliliters (mL), using the fact that 1 liter = 1000 milliliters. 15.0 L×1000 mL1 L=15,000 mL15.0 \, \text{L} \times \frac{1000 \, \text{mL}}{1 \, \text{L}} = 15,000 \, \text{mL}15.0L×1L1000mL=15,000mL So, 15.0 liters is equivalent to 15,000 milliliters.
- Second conversion factor: Convert milliliters to fluid ounces (fl oz). The conversion factor here is 354 mL = 12 fl oz, which means 354 milliliters are equivalent to 12 fluid ounces. 15,000 mL×12 fl oz354 mL=180,000 fl oz354≈508.5 fl oz15,000 \, \text{mL} \times \frac{12 \, \text{fl oz}}{354 \, \text{mL}} = \frac{180,000 \, \text{fl oz}}{354} \approx 508.5 \, \text{fl oz}15,000mL×354mL12fl oz=354180,000fl oz≈508.5fl oz So, 15.0 liters is approximately 508.5 fluid ounces.
Why the Second Conversion Factor is 354 mL = 12 fl oz:
- The conversion factor from milliliters to fluid ounces is based on the equivalence that 354 milliliters equals 12 fluid ounces. This comes from the commonly used fact that 1 U.S. cup (which is 8 fluid ounces) holds about 236.588 milliliters, and 1 U.S. pint (which is 16 fluid ounces) holds about 473.176 milliliters. Therefore, 354 mL is an intermediate value used to convert milliliters to fluid ounces.
Conclusion:
By using the second step’s conversion factor of 354 mL = 12 fl oz, we were able to convert 15 liters into fluid ounces. The final result, 508.5 fluid ounces, is the correct answer.
