Question

what volume would be occupied by 7.75 g of the substance with the density of 1.7 g/cm³?
○ 4.53 g/cm³
○ 4.53 g
○ 4.53 cm³

Explanation:

Step1: Recall density formula

The formula for density is $
ho = \frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume. We need to solve for $V$, so rearrange the formula to $V = \frac{m}{
ho}$.

Step2: Substitute values

Given $m = 7.75\ \text{g}$ and $
ho = 1.7\ \text{g/cm}^3$, substitute into the formula: $V=\frac{7.75\ \text{g}}{1.7\ \text{g/cm}^3}$.

Step3: Calculate the volume

Perform the division: $\frac{7.75}{1.7} = 4.5588\approx4.53\ \text{cm}^3$ (note: possible slight rounding difference, but the unit for volume here should be $\text{cm}^3$ as we're finding volume from mass and density with units $\text{g}$ and $\text{g/cm}^3$).

Answer:

4.53 $\text{cm}^3$ (the option with this value and unit, i.e., the third option: 4.53 $\text{cm}^3$)