Question

1. a 15.0 g - sample of a liquid has a density of 0.875 g/ml. a. what is the volume, in milliliters, of the liquid? use conversion factors to calculate answer. b. what mass, in grams, of the liquid is in 34.6 ml of the liquid?

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 can re - arrange it to solve for volume and mass.

Step2: Solve for volume in part a

Given $m = 15.0\ g$ and $
ho=0.875\ g/mL$. Using $V=\frac{m}{
ho}$, we substitute the values: $V=\frac{15.0\ g}{0.875\ g/mL}$.
$V=\frac{15.0}{0.875}\ mL\approx17.1\ mL$

Step3: Solve for mass in part b

Given $V = 34.6\ mL$ and $
ho = 0.875\ g/mL$. Using $m=
ho V$, we substitute the values: $m=0.875\ g/mL\times34.6\ mL$.
$m = 0.875\times34.6\ g=30.3\ g$

Answer:

a. $17.1\ mL$
b. $30.3\ g$