Solving for Density: Calculate the density of a substance with a mass of 10 g and volume of 5 ml.

Problem:

We are tasked with finding the density of a substance given its mass and volume. The provided values are:
- Mass (\( M \)) = 10 g
- Volume (\( V \)) = 5 mL

The formula for density (\( D \)) is:
\[
D = \frac{M}{V}
\]

Step-by-Step Solution:

1. Identify the given values:
- Mass (\( M \)) = 10 g
- Volume (\( V \)) = 5 mL

2. Substitute the values into the density formula:
\[
D = \frac{M}{V} = \frac{10 \, \text{g}}{5 \, \text{mL}}
\]

3. Perform the division:
\[
D = \frac{10}{5} = 2
\]

4. Include the appropriate units:
- Since mass is in grams (g) and volume is in milliliters (mL), the unit for density will be grams per milliliter (g/mL).

5. Write the final answer:
\[
D = 2 \, \text{g/mL}
\]

Final Answer:

\[
\boxed{2 \, \text{g/mL}}
\]

Explanation:

- Density is a measure of how much mass is contained in a given volume. It is calculated by dividing the mass of a substance by its volume.
- In this problem, we were given the mass (10 g) and the volume (5 mL). By substituting these values into the density formula \( D = \frac{M}{V} \), we obtained the result.
- The units of density are derived from the units of mass and volume. Here, grams (g) divided by milliliters (mL) give grams per milliliter (g/mL).

This method ensures that the calculation is accurate and the units are correctly handled.