The freezing point of pure chloroform is -63.5°C, and its freezing point depression constant is 4.07°C•kg/mol. If the freezing point of a solution of benzoic acid in chloroform is -70.55°C, what is the molality of this solution? 0.58 m 1.7 m 16 m 17 m

Respuesta :

Answer: The molality of this solution is 1.7 m

Explanation:

Depression in freezing point:

[tex]T_f^0-T^f=i\times k_f\times m[/tex]

where,

[tex]T_f[/tex] = freezing point of solution = [tex]-70.55^0C[/tex]

[tex]T_f^0[/tex] = freezing point of pure chloroform = [tex]-63.5^0C[/tex]

[tex]k_f[/tex] = freezing point constant of benzene = [tex]4.07^0Ckg/mol[/tex]

m = molality

i = Van't Hoff factor = 1 (for non-electrolyte)

[tex]-63.5-(-70.55)^0C=1\times 4.07^0Ckg/mol\times m[/tex]

[tex]7.05=1\times 4.07^0Ckg/mol\times m[/tex]

[tex]m=1.7[/tex]

Thus the molality of this solution is 1.7 m