The concentration of the alkane C20H42 (FW 282.55) in a particular sample of rainwater is 0.40 ppb. Assume that the density of rainwater is close to 1.00 g/mL and find the molar concentration of C20H42.

Respuesta :

Answer:

Molar concentration = [tex]1.4 \times 10^{-9} M[/tex]

Explanation:

Concentration of alkane ([tex]C_{20}H_{42}[/tex] = 0.40 ppb

1 ppb = [tex]10^-3\ mg/L[/tex]

Concentration of alkane ([tex]C_{20}H_{42}[/tex] in mg/L

                                              = [tex]4.00 \times 10^{-4}\ mg/L[/tex]

Concentration of alkane ([tex]C_{20}H_{42}[/tex]) is [tex]4.00 \times 10^{-4}\ mg/L[/tex] that means [tex]4.00 \times 10^{-4}[/tex] is present in 1 L

Density of water = 1.00 g/mL

Molar concentration =[tex]\frac{Mass\ in\ g}{Molar mass \times Volume\ in\ L}[/tex]

Formula weight = 282.55

Mass of [tex]C_{20}H_{42}[/tex] = [tex]4.00 \times 10^{-4}\ mg/L[/tex] = [tex]4.00 \times 10^{-7}\ g/L[/tex]

Here, formula mass is equal to molar mass.

Molar concentration =[tex]\frac{4.00 \times 10^{-7}}{282.55 \times 1} = 1.4 \times 10^{-9} M[/tex]