College

A sample of gold has a mass of 38.6 grams and a volume of [tex]$2 \, \text{cm}^3$[/tex]. What is the density of gold?

The formula is:
[tex]
\begin{aligned}
\text{density} & = \frac{\text{mass}}{\text{volume}} \\
\end{aligned}
[/tex]

Calculate the density of gold.

Answer :

To find the density of gold, we can use the formula for density, which is:

[tex]\[ \text{density} = \frac{\text{mass}}{\text{volume}} \][/tex]

Here's how you can solve it step by step:

1. Identify the Mass and Volume:
- The mass of the gold sample is 38.6 grams.
- The volume of the gold sample is [tex]\(2 \, \text{cm}^3\)[/tex].

2. Apply the Formula:
- Use the formula for density: [tex]\(\text{density} = \frac{\text{mass}}{\text{volume}}\)[/tex].

3. Calculate the Density:
- Substitute the known values into the formula:
[tex]\[ \text{density} = \frac{38.6 \, \text{grams}}{2 \, \text{cm}^3} \][/tex]

4. Perform the Division:
- Calculate [tex]\(\frac{38.6}{2}\)[/tex] which equals 19.3.

Therefore, the density of the gold sample is [tex]\(19.3 \, \text{g/cm}^3\)[/tex].