The problem states:

A sample of gold (Au) has a mass of 23.82 g. Given that the theoretical density is 19.30 g/mL, what is the volume of the gold sample?

The solution involves using the formula for volume based on density:

$V = \frac{\text{mass}}{\text{density}}$

Given:

• Mass = 23.82 g
• Density = 19.30 g/mL

Step-by-Step Calculation

1. Substitute the values into the formula: $V = \frac{23.82}{19.30}$

2. Perform the division: $V \approx 1.2342 \text{ mL}$

So, the volume of the gold sample is approximately 1.234 mL (rounded to three decimal places).

Would you like additional details on this calculation or further explanation on density and volume concepts?

Related Questions

1. How would the volume change if the density of gold were slightly different?
2. What is the significance of significant figures in this calculation?
3. How can you experimentally determine the density of an unknown material?
4. How would temperature affect the density of gold?
5. What is the relationship between density, mass, and volume?

Tip

Always check the units to ensure consistency, especially when using mass and volume in density calculations.