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)
4.0	10.8
6.0	16.2
8.0	21.6
10.0	27.0

options:
a) 27.0g
b) 29.7g
c) 30g
d) 0.37g

Explanation:

Step1: Calculate density

Density \(
ho = \frac{\text{Mass}}{\text{Volume}} \). Using the first data point: \(
ho = \frac{5.4\,\text{g}}{2.0\,\text{mL}} = 2.7\,\text{g/mL} \). Verify with others (e.g., \( \frac{10.8\,\text{g}}{4.0\,\text{mL}} = 2.7\,\text{g/mL} \)), so density is constant at \( 2.7\,\text{g/mL} \).

Step2: Calculate mass for 11.0mL

Use \( \text{Mass} =
ho \times \text{Volume} \). Substitute \(
ho = 2.7\,\text{g/mL} \) and \( \text{Volume} = 11.0\,\text{mL} \): \( \text{Mass} = 2.7\,\text{g/mL} \times 11.0\,\text{mL} = 29.7\,\text{g} \).

Answer:

B) 29.7g