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Forty grams of silicon carbide (SiC) boiling chips with a density of 3.2 g/cm3 are added to 600 mL of toluene with a density of 0.9 g/cm3. What is the concentration of SiC chips in mg/L?

Respuesta :

Answer:

The concentration of SiC chips is 65,306.122  mg/L.

Explanation:

Mass of silicon carbide ,m= 40 g

Density of silicon = [tex]d =3.2 g/cm^3[/tex]

Volume of silicon carbide = v

[tex]Density=\frac{Mass}{Volume}[/tex]

[tex]d=\frac{m}{v}[/tex]

[tex]v=\frac{40 g}{3.2 g/cm^3}=12.5 cm^3=0.0125 L[/tex]

[tex]1 cm^3=0.001 L[/tex]

Volume of toluene = V = 600 mL = 0.6 L

Volume of solution = v + V = 0.0125 L + 0.6 L =0.6125 L

The concentration of SiC chips in mg/L:

m = 40 g = 40,000 mg

(1 g = 1000 mg)

[tex]=\frac{40,000 mg}{0.6125 L}=65,306.122 mg/L[/tex]