Calculate the volume of acetone with the same mass as 15.0 mL of mercury. The density of mercury is 13.59 g/mL. The density of acetone is 0.792 g/mL.

The volume of acetone is 257.4 mL

Explanation:

Step 1: Data given

Volume of mercury = 15.0 mL

Density of mercury = 13.59 g/mL

Density of acetone = 0.792 g/mL

mass of acetone = mass of 15.0 mL mercury

Step 2: Calculate mass of 15.0 mL mercury

Mass = density * volume

Mass mercury = 13.59 g/mL * 15.0 mL

Mass mercury = 203.85 grams

Step 3: Calculate volume of acetone

Volume = mass / density

Volume acetone = 203.85 / 0.792

Volume acetone = 257.4 mL

The volume of acetone is 257.4 mL

Volume of acetone = 257.4 mL

Explanation:

Density = mass / volume

Density Hg = Mass Hg / Volume Hg

13.59 g/mL = Mass Hg / 15 mL Hg

13.59 g/mL. 15 mL = Mass Hg → 203.85 g

This is the mass of acetone

Density acetone = Mass acetone / Volume acetone

0.792 g/mL = 203.85 g / Volume of acetone

Volume of acetone = 203.85 g / 0.792 g/mL

Volume of acetone = 257.4 mL