An aqueous solution containing 46.5 gm of ethylene glycol in 160 gm of water is cooled to -11.16^ C . If K _ f for water is 1.86 ~K / molal then calculate the amount of ice (in g ) that separates out on cooling the above solution.

Step-by-step solution

W _ B mass of ethylene glycol ( M =62)=46.5 gm W _ A mass of water =160 gm T_f depression in freezing point =11.16 ~K Let W _ B be the mass of water remaining T_ f = K _ t ~W _ B 1000 M _ B ~W _ B ^ aligned & 11.16= 1.86 46.5 1000 62 W _ B ^ & W _ B ^ =125 gm aligned Mass of ice that separates out on cooling =W_B-W_B=160-125=35 gm