What is the density of a salt solution if 75.0 mL of the solution has a mass of 32.0 g?0.127 g/mL0.227 g/mL0.327 g/mL0.427 g/mLNone of the above

1. ### Break Down the Problem

To find the density of the salt solution, we will use the formula for density, which is defined as the mass of the solution divided by its volume. The formula is:

$\text{Density} = \frac{\text{Mass}}{\text{Volume}}$

2. ### Relevant Concepts

• Mass (m): The mass of the solution is given as 32.0 g.
• Volume (V): The volume of the solution is given as 75.0 mL.

3. ### Analysis and Detail

Now, let's plug the values into the density formula:

$\text{Density} = \frac{32.0 \, \text{g}}{75.0 \, \text{mL}}$

To perform the calculation:

1. Divide the mass by the volume:

$\text{Density} = \frac{32.0}{75.0} \approx 0.42666667 \, \text{g/mL}$

2. Round the result to three significant figures:

$\text{Density} \approx 0.427 \, \text{g/mL}$

4. ### Verify and Summarize

We calculated the density to be approximately $0.427 \, \text{g/mL}$. This matches one of the options provided.

Final Answer

The density of the salt solution is 0.427 g/mL.