Question

Using the following unit conversions : 1.00 fluid ounces = 29.573 ml, 1.00 L = 1000cm^3, density of water = 1.00 gym/cm^3, the number of fluid ounces in a kg of water is

Answer 1

To determine the number of fluid ounces in a kg of water, we need to convert kilograms to grams, then to ounces, and finally to fluid ounces using the appropriate conversion factors.

Step-by-step explanation:

To find the number of fluid ounces in a kg of water, we need to convert kilograms to fluid ounces. Here's how:

First, convert kilograms to grams. Since 1 kg = 1000 g, multiply the number of kilograms by 1000 to get the number of grams.

Next, convert grams to ounces. Since 1 ounce = 28.3495 g, divide the number of grams by 28.3495 to get the number of ounces.

convert ounces to fluid ounces. Since 1 fluid ounce = 29.5735 ml, divide the number of ounces by 29.5735 to get the number of fluid ounces.

By following these steps, we can determine the number of fluid ounces in a kg of water. However, it's important to note that the density of water is given as 1.00 g/cm³, not 1.00 g/mL. Therefore, the conversion factor will be different when converting from grams to fluid ounces. The correct conversion factor would be 1 g/cm³ = 29.5735 g/29.5735 mL = 1 mL.