# Which has more density 1kg of water or 10kg of water?

Mar 2, 2017

The $\text{densities}$ are the SAME..........

#### Explanation:

$\text{Density}$ is a so-called intensive property, whose magnitude does not depend on the size of the system. For a given temperature, thus $10 \cdot k g$ of water has the same density as $1 \cdot k g$ of water:

$\text{Density, } \rho$ $=$ $\text{Mass"/"Volume}$

${\rho}_{1} = \frac{10 \cdot k g}{10 \cdot L} = 1 \cdot k g \cdot {L}^{-} 1$ or $1 \cdot g \cdot c {m}^{-} 3$

${\rho}_{2} = \frac{1 \cdot k g}{1 \cdot L} = 1 \cdot k g \cdot {L}^{-} 1$ or $1 \cdot g \cdot c {m}^{-} 3$

And thus ${\rho}_{1}$ and ${\rho}_{2}$ are manifestly the same.

On the other hand, there are the so-called extensive properties, mass, moles, volume, etc. whose magnitude depends on the number of particles in the system.