Question

Attem A liquid solvent is added to a flask containing an insoluble solid. The total volume of the solid and liquid together is 91.0 mL. The liquid solvent has a mass of 26.6 g and a density of 0.865 g/mL. Determine the mass of the solid given its density is 1.75 g/mL. mass: 38.852

Answer 1

Answer: The mass of solid is 105.4 g

Explanation:

To calculate the density of a substance, we use the equation"

$\text{Density of a substance}=\frac{\text{Mass of a substance}}{\text{Volume of a substance}}$       .......(1)

For liquid:

Mass of liquid = 26.6 g

Density of liquid = 0.865 g/mL

Putting values in equation 1, we get:

$0.865g/mL=\frac{26.6g}{\text{Volume of liquid}}\\\\\text{Volume of liquid}=\frac{26.6g}{0.865g/mL}=30.8mL$

We are given:

Volume of solid + Volume of liquid = 91.0 mL

Volume of liquid = 30.8 mL

So, volume of solid = 91.0 - 30.8 = 60.2 mL

Now, calculating the mass of solid by using equation 1, we get:

Volume of solid = 60.2 mL

Density of solid = 1.75 g/mL

Putting values in equation 1, we get:

$1.75g/mL=\frac{\text{Mass of solid}}{60.2mL}\\\\\text{Mass of solid}=(1.75g/mL\times 60.2mL)=105.4g$

Hence, the mass of solid is 105.4 grams