Cyclohexane has a freezing point of 6.50 ∘C and a Kf of 20.0 ∘C/m. What is the freezing point of a solution made by dissolving 0.694 g of biphenyl (C12H10) in 25.0 g of cyclohexane?

Respuesta :

Answer:

The freezing point will be [tex]2.9^{0}C[/tex]

Explanation:

The depression in freezing point is a colligative property.

It is related to molality as:

[tex]Depressioninfreezing point=K_{f}Xmolality[/tex]

Where

Kf= [tex]20\frac{^{0}C}{m}[/tex]

the molality is calculated as:

[tex]molality=\frac{moles_{solute}}{mass_{solvent}}[/tex]

[tex]moles=\frac{mass}{molarmass}=\frac{0.694}{154}=0.0045mol[/tex]

[tex]massofcyclohexane=25g=0.025Kg[/tex]

[tex]molarity=\frac{0.0045}{0.025}=0.18m[/tex]

Depression in freezing point = [tex]20X0.18=3.6^{0}C[/tex]

The new freezing point = [tex]6.5^{0}C-3.6^{0}C=2.9^{0}C[/tex]