Question

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?

Answer 1

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

Step-by-step explanation:

Mass of silicon carbide ,m= 40 g

Density of silicon =
`d =3.2 g/cm^3`

Volume of silicon carbide = v

`Density=(Mass)/(Volume)`

`d=(m)/(v)`

`v=(40 g)/(3.2 g/cm^3)=12.5 cm^3=0.0125 L`

`1 cm^3=0.001 L`

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)

`=(40,000 mg)/(0.6125 L)=65,306.122 mg/L`