Calculate the density of a liquid in a beaker. The beaker has a mass of 15 grams when empty. The beaker plus an unknown liquid has a mass of 64 grams. What is the density (g/mL) of the liquid if it's volume is 10. mL?

To calculate the density of the liquid, we will use the formula:

\[
\text{Density} = \frac{\text{Mass of the liquid}}{\text{Volume of the liquid}}
\]

### Step 1: Calculate the mass of the liquid
The mass of the liquid is the difference between the mass of the beaker with the liquid and the mass of the empty beaker:

\[
\text{Mass of the liquid} = \text{Mass of the beaker with liquid} - \text{Mass of the empty beaker}
\]

\[
\text{Mass of the liquid} = 64 \, \text{g} - 15 \, \text{g} = 49 \, \text{g}
\]

### Step 2: Use the formula for density
Now that we know the mass of the liquid is 49 grams and the volume is given as 10 mL, we can calculate the density:

\[
\text{Density} = \frac{49 \, \text{g}}{10 \, \text{mL}} = 4.9 \, \text{g/mL}
\]

Thus, the density of the liquid is **4.9 g/mL**.

Would you like further details or have any questions?

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Here are 5 related questions to expand on this topic:

1. How does the density of a liquid change with temperature?
2. What is the significance of density in identifying substances?
3. How would the density change if the volume of the liquid was doubled, but the mass stayed the same?
4. Can density be used to determine the purity of a liquid?
5. How is density measured in practice using a hydrometer?

**Tip:** Always make sure to measure mass and volume accurately to ensure correct density calculations.

Calculate the density of a liquid in a beaker. The beaker has a mass of 15 grams when empty. The beaker plus an unknown liquid has a mass of 64 grams. What is the density (g/mL) of the liquid if its volume is 10. mL?

Learn how to calculate the density of a liquid using the mass and volume formula. This problem involves a beaker with a mass of 15 grams and an unknown liquid, with a total mass of 64 grams. The volume of the liquid is 10 mL, and we calculate the density to be 4.9 g/mL. Suitable for Grades 6-8.

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