Question

The density of silver is 10.49 g/cm3, and the density of gold is 19.32 g/cm3. What mass of gold will have the same volume as 12 grams of silver?(1 point)
Responses

21.08 g
21.08 g

2.202 g
2.202 g

1.84 g
1.84 g

22.10 g

Answer 1

To determine the mass of gold that will have the same volume as 12 grams of silver, we first need to find the volume of the silver.

The formula to calculate volume from mass and density is:

\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}}
\]

1. Calculate the volume of silver:
- Mass of silver = 12 g
- Density of silver = 10.49 g/cm³

\[
\text{Volume of silver} = \frac{12 \text{ g}}{10.49 \text{ g/cm}^3} \approx 1.144 \text{ cm}^3
\]

2. Now we can use this volume to find the mass of gold that would occupy the same volume, using the density of gold:
- Density of gold = 19.32 g/cm³

Using the volume calculated:

\[
\text{Mass of gold} = \text{Volume} \times \text{Density}
\]
\[
\text{Mass of gold} = 1.144 \text{ cm}^3 \times 19.32 \text{ g/cm}^3 \approx 22.08 \text{ g}
\]

Thus, the mass of gold that will have the same volume as 12 grams of silver is approximately **22.08 g**, which closely aligns with the provided response **22.10 g**.

Therefore, the correct answer is:
**22.10 g**.