Question

Ethyl alcohol has been added to 200 mL of water in a container that has a mass of 150 g when empty. The resulting container and liquid mixture has a mass of 512 g. What volume of alcohol was added to the water?

Answer 1

205.3 mL of ethyl alcohol

Step-by-step explanation:

The resulting container and liquid mixture has a mass of 512 g

Mass of container + Mass of water + Mass of ethyl alcohol

150 g + 200 g + Mass of ethyl alcohol = 512 g

We know that water has a mass of 200g, cause the density, which values 1 g/mL.

200 mL are contained in 200 g of water.

Mass of ethyl alcohol = 512 g - 200 g - 150 g ⇒ 162 g

Density of ethyl alcohol = ethyl alcohol mass / ethyl alcohol volume

0.789 g/mL = 162g / ethyl alcohol volume

162 g / 0.789 g/mL = 205.3 mL