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
[tex]Density = Mass/volume(V_{l} } )\\\\volume(V_{l} )=Mass/Density[/tex]
Put the value into the formula
[tex]V_{l} = 40.5/0.865\\\\V_{l} = 46.82 mL[/tex]
We need to calculate the volume of solid
Volume of solid = Total volume of solid and liquid- volume of liquid
[tex]V_{s} =81.0-46.82\\\\V_{s} =34.18 mL[/tex]
We need to calculate the mass of solid
[tex]P_{s}=M_{s} /V_{s} \\\\M_{s} =P_{s}V_{s}[/tex]
Using formula of density
Put the value into the formula
[tex]M_{s}=2.25 X 34.18\\\\M_{s}=76.905 g[/tex]
Hence, The mass of solid is 76.905 g.
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:
Learn more about density :
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