Question

I need help on density

A sample of iron has the same dimensions of 2.0cm X 3.0cm X 2.0cm. If the mass of this recatsngular shaped object is 94.0g what is the density of iron?

Answer 1

Answer on Question #63086 - Chemistry - Other

Task:

A sample of iron has the same dimensions of $2.0\mathrm{cm} \times 3.0\mathrm{cm} \times 2.0\mathrm{cm}$. If the mass of this rectangular shaped object is $94.0\mathrm{g}$ what is the density of iron?

Solution:

We find the volume a sample of iron:

$$V = a \times b \times c = 2.0 \times 3.0 \times 2.0 = 12.0 \mathrm{cm}^3.$$

The density of a substance is its mass per unit volume.

Mathematically, density is defined as mass divided by volume:

where $\rho$ is the density, $m$ is the mass, and $V$ is the volume.

$$\rho = \frac{m}{V},$$

Then,

$$\rho = \frac{m}{V} = \frac{94.0 \mathrm{g}}{12.0 \mathrm{cm}^3} = 7.833 \mathrm{g}/\mathrm{cm}^3$$

Answer:

$$\rho = 7.833 \mathrm{g}/\mathrm{cm}^3 = 7833 \mathrm{kg}/\mathrm{m}^3$$