Q.
The addition of 0.643g of a compound to 50mL of benzene (density =0.879gmL−1 ) lowers the freezing point from 5.51∘C to 5.03∘C. If the freezing point constant, Kf for benzene is 5.12Kkgmol−1, the molar mass of the compound is approximately
Given, weight of compound, w2=0.643g kf=5.12Kkgmol−1 ΔTf=Tf∘−Tf 278.51−278.03=0.48K
Volume of benzene =50mL
Density of benzene =0.879gmL−1 ∴ Weight of benzene, w1=50×0.879=43.95g
Molar mass of a compound can be calculated by using the following formula M2=ΔTf×w1kf×w2×1000 =0.48×43.955.12×0.643×1000 =156.05gmol−1