Question

a liquid solvent is added to a flask containing an insoluble solid. the total volume of the solid and liquid together is 90.0 ml. the liquid solvent has a mass of 29.1 g and a density of 0.865 g/ml. determine the mass of the solid given its density is 2.25 g/ml.
mass: g

Explanation:

Step1: Calculate volume of liquid

Use density formula $
ho=\frac{m}{V}$, so $V = \frac{m}{
ho}$. For liquid, $m = 29.1$ g and $
ho=0.865$ g/mL. Then $V_{liquid}=\frac{29.1}{0.865}=33.64$ mL.

Step2: Calculate volume of solid

$V_{total}=90.0$ mL. So $V_{solid}=V_{total}-V_{liquid}=90.0 - 33.64 = 56.36$ mL.

Step3: Calculate mass of solid

Given $
ho_{solid}=2.25$ g/mL. Using $m=
ho V$, we have $m_{solid}=
ho_{solid}V_{solid}=2.25\times56.36 = 126.81$ g.

Answer:

126.81 g