C6H6 freezes at 55 C The temperature at which a solution of

Question

C_(6)H_(6) freezes at 5.5^°C. The temperature at which a solution of 10g of C_(4)H_(10) in 200g of C_(6)H_(6) freeze is __________ ^°C. (The molal freezing point depression constant of C_(6)H_(6) is 5.12^°C/m.)

DivineJEE · Accepted Answer

Pure solvent : C_(6)H_(6)(l)Given, T_f^o = 5.5^° CK_f = 5.12^° C/m => m = 200gm_solute = 10gMolar mass of solute C_4H_10 = 12 x 4 + 10 = 58Solute (C_(4)H_(10)) is non-dissociative;Therefore i = 1Therefore Delta T_f = iK_f m => (T_f^o - T_f^1) = 1 x 5.12 x (10/58) / (200/1000)5.5 - T_f^1 = 5.12 x 5 x 10 / 58 => T_f^1 = 1.086^° Cor T_f^1 = 1^° C

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