Q33 E

Question

The density (d) of a substance is an intensive property that is defined as the ratio of its mass(m) to its volume (V). 

 \(\begin{aligned}{\rm{density = }}\frac{{{\rm{mass}}}}{{{\rm{volume}}}}\\{\rm{d = }}\frac{{\rm{m}}}{{\rm{v}}}\end{aligned}\)

Considering that mass and volume are intensive properties, explain why their ratio, density is intensive.

Step-by-Step Solution

Verified
Answer

Density doesn’t depend on body size. Therefore, it is an intensive quantity.

\(\begin{aligned}{\rm{density = }}\frac{{{\rm{mass}}}}{{{\rm{volume}}}}\\{\rm{d = }}\frac{{\rm{m}}}{{\rm{v}}}\end{aligned}\)

1Definition of intensive property

The value of Intensive property is not dependent on the amount of substance. For e.g. density of gold is 19.32 g/cm cube

2Why density is intensive?

Density is an intensive property. Because It's independent of mass.