Explanation:
Given that,
The density of water is 1 g/cm³
The density of ethanol is 0.8 g/cm³
We need to find the volume of the ethanol that has the same mass as 100 cm³ of water.
Density=mass/volume
For water,
[tex]d=\dfrac{m}{V}\\\\m=dV\\\\m=1\ g/cm^3\times 100\ cm^3\\\\m=100\ g[/tex]
For ethanol,
[tex]d=\dfrac{m}{V}\\\\V=\dfrac{m}{d}\\\\V=\dfrac{100\ g}{0.8\ g/cm^3}\\\\V=125\ cm^3[/tex]
Hence, 125 cm³ of ethanol has the same mass as 100 cm³ of water.
