Question

The density of ethyl alcohol is 0.789 g/mL. If the mass of the liquid is 158g, what is the volume of the liquid (in mL)?

a. 200.51 mL
b. 183.67 mL
c. 199.87 mL
d. 145.23 mL

Answer 1

The volume of the ethyl alcohol is calculated by dividing the mass of the alcohol (158g) by its density (0.789 g/mL), resulting in a volume of 200.25 mL. The answer closest to this calculated volume is option a. 200.51 mL.

Step-by-step explanation:

To calculate the volume of a liquid from its mass and density, the formula density = mass/volume is used. Since we are given the mass and the density of the ethyl alcohol, we can rearrange the formula to solve for the volume: volume = mass/density.

Using the provided values, the mass of the ethyl alcohol is 158g, and the density of ethyl alcohol is 0.789 g/mL, the volume can be calculated as follows:

volume = 158g / 0.789 g/mL = 200.25 mL.

Therefore, the correct answer is a. 200.51 mL, since the actual calculation gives a result of 200.25 mL, which is closest to option a.