Question

A liquid solvent is added to a flask containing an insoluble solid. the total volume of the solid and liquid together is 81.0 ml. the liquid solvent has a mass of 40.5 g and a density of 0.865 g/ml. determine the mass of the solid given its density is 2.25 g/ml.

Answer 1

The mass of solid is 76.905 g.

Given that,

Total volume of solid and liquid = 81.0 mL

Mass of liquid = 40.5 g

Density of liquid = 0.865 g/mL

Density of solid = 2..25 g/mL

We need to calculate the volume of liquid

Using formula of density

$Density = Mass/volume(V_{l} } )\\\\volume(V_{l} )=Mass/Density$

Put the value into the formula

$V_{l} = 40.5/0.865\\\\V_{l} = 46.82 mL$

We need to calculate the volume of solid

Volume of solid = Total volume of solid and liquid- volume of liquid

$V_{s} =81.0-46.82\\\\V_{s} =34.18 mL$

We need to calculate the mass of solid

$P_{s}=M_{s} /V_{s} \\\\M_{s} =P_{s}V_{s}$

Using formula of density

Put the value into the formula

$M_{s}=2.25 X 34.18\\\\M_{s}=76.905 g$

Hence, The mass of solid is 76.905 g.

What is density?

A substance's density (more accurately, its volumetric mass density; sometimes known as specific mass) is its mass per unit volume. The most common symbol for density is (the lower case Greek letter rho).

There are three types of Density:

• linear density
• bulk density
• area density

Learn more about density :

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