Question

A container is placed on an electronic balance and gives a reading of 120.8 g. The container is filled to the top with a salt water solution that has a density of 1.05 g/mL. The mass then registers as 197.4 g. What is the volume of the liquid in the container?

a) 75.8 mL
b) 76.0 mL
c) 76.2 mL
d) 76.5 mL

Answer 1

The volume of the liquid in the container can be found by subtracting the initial mass from the final mass, and then dividing by the density of the salt water solution. The correct volume is approximately 73.0 mL.

Step-by-step explanation:

The volume of the liquid in the container can be found by using the concept of density. Density is defined as the mass per unit volume of a substance. In this case, the container is first weighed empty, giving a mass of 120.8 g. Then, when filled with the salt water solution, the mass increases to 197.4 g. By subtracting the initial mass from the final mass, we can find the mass of the liquid.

Mass of liquid = Final mass - Initial mass
Mass of liquid = 197.4 g - 120.8 g
Mass of liquid = 76.6 g

Next, we can use the density of the salt water solution, which is 1.05 g/mL, to find the volume of the liquid.

Volume of liquid = Mass of liquid / Density
Volume of liquid = 76.6 g / 1.05 g/mL
Volume of liquid ≈ 72.95 mL

Rounded to the nearest tenth, the volume of the liquid in the container is approximately 73.0 mL. Therefore, the correct answer is option b) 76.0 mL.