Question

look at the table of density data for an unknown substance. based on the table, what would be the mass of 11.0ml of this substance? density data volume (ml) mass (g) 2.0 5.4 4.0 10.8 6.0 16.2 8.0 21.6 10.0 27.0 a) 27.0g b) 29.7g c) 30g d) 0.37g

Explanation:

Step1: Calculate density

Using the formula $\text{density} = \frac{\text{mass}}{\text{volume}}$, take the first data point: $\frac{5.4\,\text{g}}{2.0\,\text{mL}} = 2.7\,\text{g/mL}$. Verify with others (e.g., $\frac{10.8\,\text{g}}{4.0\,\text{mL}} = 2.7\,\text{g/mL}$) to confirm density is constant.

Step2: Calculate mass for 11.0mL

Use $\text{mass} = \text{density} \times \text{volume}$. Substitute density ($2.7\,\text{g/mL}$) and volume ($11.0\,\text{mL}$): $2.7\,\text{g/mL} \times 11.0\,\text{mL} = 29.7\,\text{g}$.

Answer:

B) 29.7g