Question

4.1 characteristics of atoms
which of the following is not correct for the density of water?
o 1000 kg/m³
o 1g/ml
o 1g/cm³
o 1000g/m³

Explanation:

Step1: Convert units

We know that $1m = 100cm$, so $1m^{3}=(100cm)^{3}=1000000cm^{3}$. And $1kg = 1000g$.
The density of water is $1000kg/m^{3}$, converting it to $g/cm^{3}$: $1000kg/m^{3}=\frac{1000\times1000g}{1000000cm^{3}} = 1g/cm^{3}$. Also, $1ml = 1cm^{3}$, so $1g/cm^{3}=1g/ml$.

Step2: Analyze each option

• Option 1: $1000kg/m^{3}$ is the density of water at standard - conditions.
• Option 2: Since $1ml = 1cm^{3}$, $1g/ml$ is correct for water density.
• Option 3: $1g/cm^{3}$ is correct for water density.
• Option 4: $1000g/m^{3}=\frac{1000g}{1000000cm^{3}}=0.001g/cm^{3}$, which is not the density of water.

Answer:

$1000g/m^{3}$