Question

The density of aluminum is 2.70 g/cm3. Express this value in kg/m3.

Answer 1

2.70 × 10³ kg/m³

Step-by-step explanation:

ρ = 2.70 g/cm³

1. Convert grams to kilograms

In 1 kg there are 1000 g

`\text{No. of kilograms} = \text{2.70 g} * \frac{\text{1 g}}{\text{1000 g}} = 2.70* 10^(-3)\text{ kg}`

2. Convert cubic centimetres to cubic metres

`\text{No. of cubic metres} = \text{1 cm}^(3) * \left ( \frac{\text{1 m}}{\text{100 cm}} \right )^(3) =1 * 10^(-6) \text{ m}^(3)`

3. Calculate the density

`\rho =\frac{\text{2.70 g }}{\text{1 cm}^(3)} = \frac{2.70 * 10^(-3)\text{ kg}}{1 * 10^(-6) \text{ m}^(3)} = \mathbf{2.70 * 10^(3)} \textbf{ kg/m}^{\mathbf{3}}`