Question

A typical water bottle holds 64 fluid ounces. What is the mass of water (in grams) in the bottle if the density of water is 0.9870 g/mL? (29.57 mL = 1 fluid ounce). A problem-solving pathway is provided for you. PSP: volume (fluid ounce) ➜ volume (mL) ➜ mass (g)

Answer 1

1867.88g

Step-by-step explanation:

The density of a substance can be calculated by dividing its mass by its volume. That is;

Density = mass/volume

In this question, the density of water is given as is 0.9870 g/mL, volume of water held by the container is 64 fluid ounces.

The unit, however, must be the same in order to work.

Since; 29.57 mL = 1 fluid ounce

64 fluid ounces will be 64 × 29.57 mL

= 1892.48 mL

Using the formula above, the mass (m)= density (p) × volume (v)

Mass = 1892.48mL × 0.9870 g/mL

Mass= 1867.8776

Mass = 1867.88g