Question

a chemistry student needs 70.0 g of glycerol for an experiment. by consulting the crc handbook of chemistry and physics, the student discovers that the density of glycerol is 1.26 g·cm⁻³. calculate the volume in ml of glycerol the student should pour out. round your answer to 3 significant digits.

Explanation:

Step1: Recall density formula

The density formula 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 $m = 70.0\ \text{g}$ and $
ho = 1.26\ \text{g·cm}^{-3}$. Note that $1\ \text{cm}^3 = 1\ \text{mL}$, so we can use these units directly. Substitute into the formula: $V = \frac{70.0\ \text{g}}{1.26\ \text{g·cm}^{-3}}$.

Step3: Calculate volume

Perform the division: $\frac{70.0}{1.26} \approx 55.555\ldots\ \text{cm}^3$ (which is also $\text{mL}$).

Step4: Round to 3 significant digits

The value $55.555\ldots$ rounded to 3 significant digits is $55.6$.

Answer:

$55.6$