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A liquid solvent is added to a flask containing an insoluble solid. The total volume of the solid and liquid together is 87.0 mL. The liquid solvent has a mass of 49.7 g and a density of 0.865 g/mL. Determine the mass of the solid given its density is 2.75 g/mL.

Respuesta :

Answer: The mass of solid is 81.24 grams

Explanation:

We are given:

Volume of solid and liquid together = 87.0 mL

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

[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]      ......(1)

  • For liquid:

Density of liquid solvent = 0.865 g/mL

Mass of liquid solvent = 49.7 g

Putting values in equation 1, we get:

[tex]0.865g/mL=\frac{49.7g}{\text{Volume of liquid solvent}}\\\\\text{Volume of liquid solvent}=\frac{49.7g}{0.865g/mL}=57.46mL[/tex]

  • For Solid:

Density of solid = 2.75 g/mL

Volume of solid = [87.0 - 57.46] mL = 29.54 mL

Putting values in equation 1, we get:

[tex]2.75g/mL=\frac{\text{Mass of solid}}{29.54mL}\\\\\text{Mass of solid}=(2.75g/mL\times 29.54mL)=81.24g[/tex]

Hence, the mass of solid is 81.24 grams

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