Questions: The nurse needs to convert milliliters to ounces. Which conversion factor is correct? 1 oz / 10 mL 1 oz / 15 mL 30 mL / 1 oz 10 mL / 1 oz

Solution Steps

To determine the correct conversion factor from milliliters to ounces, we need to know the standard conversion rate between these two units. The standard conversion is that 1 ounce is approximately equal to 29.5735 milliliters. We will compare this standard conversion to the given options to identify the correct conversion factor.

The standard conversion factor between milliliters and ounces is approximately \(1 \, \text{oz} = 29.5735 \, \text{mL}\). This means that the conversion factor from milliliters to ounces is \(\frac{1 \, \text{oz}}{29.5735 \, \text{mL}}\).

We are given the following conversion factors to compare with the standard:

• \(\frac{1 \, \text{oz}}{10 \, \text{mL}}\)
• \(\frac{1 \, \text{oz}}{15 \, \text{mL}}\)
• \(\frac{30 \, \text{mL}}{1 \, \text{oz}}\)
• \(\frac{10 \, \text{mL}}{1 \, \text{oz}}\)

To find the correct conversion factor, we need to identify which of the given options is closest to the standard conversion factor \(\frac{1 \, \text{oz}}{29.5735 \, \text{mL}}\).

• \(\frac{1 \, \text{oz}}{10 \, \text{mL}} = 0.1 \, \text{oz/mL}\)
• \(\frac{1 \, \text{oz}}{15 \, \text{mL}} = 0.0667 \, \text{oz/mL}\)
• \(\frac{30 \, \text{mL}}{1 \, \text{oz}} = 30 \, \text{mL/oz}\)
• \(\frac{10 \, \text{mL}}{1 \, \text{oz}} = 10 \, \text{mL/oz}\)

The correct conversion factor should be close to \(\frac{1}{29.5735} \approx 0.0338 \, \text{oz/mL}\) or its reciprocal \(29.5735 \, \text{mL/oz}\).

Final Answer