Question

what is the density an 84.7 g sample of an unknown substance if the sample occupies 49.6 cm³?

1.7 cm³/g

0.59 cm³/g

35.1 density

1.7 g/cm³

Explanation:

Step1: Recall density formula

Density ($
ho$) is defined as mass ($m$) divided by volume ($V$), so $
ho = \frac{m}{V}$.

Step2: Identify values

Mass $m = 84.7\ \text{g}$, Volume $V = 49.6\ \text{cm}^3$.

Step3: Calculate density

Substitute values into the formula: $
ho = \frac{84.7\ \text{g}}{49.6\ \text{cm}^3} \approx 1.7\ \text{g/cm}^3$. Also, check units: density should be mass per volume, so $\text{g/cm}^3$ is correct, eliminating options with wrong units or calculations.

Answer:

D. 1.7 g/cm³