Question #6566

What is the freezing point of a solution of ethyl alcohol, that contains 24.3 g of the solute (C2H5OH), dissolved in 540 g of water?

Expert's answer

What is the freezing point of a solution of ethyl alcohol, that contains 24.3 g of the solute (C2H5OH), dissolved in 540 g of water?


T=KCM\mathrm {T} = \mathrm {K} ^ {*} \mathrm {C} _ {\mathrm {M}}CM=ν(C2H5OH)m(C2H5OH)+m(H2O)C _ {M} = \frac {\nu \left(C _ {2} H _ {5} O H\right)}{m \left(C _ {2} H _ {5} O H\right) + m \left(H _ {2} O\right)}C _ {M} = \frac {\frac {m \left(C _ {2} H _ {5} O H\right) ^ {* 1 0 0 0}}{M \left(C _ {2} H _ {5} O H\right)} m \left(H _ {2} O\right)}CM=24,3100046540=0.98molkg1C _ {M} = \frac {\frac {2 4 , 3 * 1 0 0 0}{4 6}}{5 4 0} = 0. 9 8 m o l ^ {*} k g ^ {- 1}ΔT=(1,86Kkgmol1)(0.98molkg1)=1,83K\Delta T = (1, 8 6 K ^ {*} k g ^ {*} m o l ^ {- 1}) ^ {*} (0. 9 8 ^ {*} m o l ^ {*} k g ^ {- 1}) = 1, 8 3 KT=T0ΔTT = T _ {0} - \Delta TT=273K1,83K=271,17KT = 2 7 3 K - 1, 8 3 K = 2 7 1, 1 7 Kt=271,17273K=1,83Ct = 2 7 1, 1 7 - 2 7 3 K = - 1, 8 3 ^ {\circ} C


Answer: T=271,17K t= - 1,83°C

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