Taking into account the definition of density, the mass of a solution that has a density of 0.775 [tex]\frac{g}{mL}[/tex] and a volume of 50.0mL is 38.75 g.
It is necessary to know that density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
So, density is a quantity referred to the amount of mass in a given volume of a substance, that is, it is the relationship between mass and volume.
The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
[tex]density=\frac{mass}{volume}[/tex]
In this case, you know that:
- density= 0.775 [tex]\frac{g}{mL}[/tex]
- mass= ?
- volume= 50 mL
Replacing in the definition of density:
[tex]0.775\frac{g}{mL} =\frac{mass}{50 mL}[/tex]
Solving:
mass= 0.775 [tex]\frac{g}{mL}[/tex]× 50 mL
mass= 38.75 g
In summary, the mass of a solution that has a density of 0.775 [tex]\frac{g}{mL}[/tex] and a volume of 50.0mL is 38.75 g.
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