Question

Which has a greater volume, 10 grams of water or 10 grams of acetone?

Answer 1

Density is defined as the ratio of mass to the volume.

Density = $\frac{Mass}{Volume}$          (1)

Mass of water = 10 grams

Mass of acetone  = 10 grams

Density of water  = 1 $\frac{g}{cm^{3}}$

Density of acetone  = 0.7857 $\frac{g}{cm^{3}}$

Put the value of density of water and its mass in equation (1)

1 $\frac{g}{cm^{3}}$ =  $\frac{10 g}{volume}$

Volume of water =  10 $cm^{3}$

Put the value of density of acetone and its mass in equation (1)

0.7857 $\frac{g}{cm^{3}}$ =  $\frac{10 g}{volume}$

Volume of acetone = 12.72 $cm^{3}$

Thus, volume of acetone is more than volume of water because the density of acetone is lower.