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) 30 g d) 0.37g

Explanation:

Step1: Calculate density

First, we find the density of the substance using the formula $\text{density} = \frac{\text{mass}}{\text{volume}}$. Let's take the first data point: $\frac{5.4\,\text{g}}{2.0\,\text{mL}} = 2.7\,\text{g/mL}$. We can check with another point, e.g., $\frac{10.8\,\text{g}}{4.0\,\text{mL}} = 2.7\,\text{g/mL}$, so density is constant at $2.7\,\text{g/mL}$.

Step2: Calculate mass for 11.0mL

Use the formula $\text{mass} = \text{density} \times \text{volume}$. Substituting the values: $\text{mass} = 2.7\,\text{g/mL} \times 11.0\,\text{mL} = 29.7\,\text{g}$.

Answer:

B) 29.7g