1.

A solution of glucose (Molar mass = 180 g "mol"^(-1) ) in water has a boiling point of 100.20^@C. Calculate the freezing point of the same solution. Molal constants for water K_f and K_b are 1.86 K kg "mol"^(-1) and 0.512 K kg "mol"^(-1)respectively.

Answer»

Solution :Given that the boiling point `(T_b)` of GLUCOSE solution = `100.20^@C`
APPLY the RELATION :
` Delta T_b = K_b xx m`
`m = (Delta T_b)/(K_b) = (0.20)/(0.512)`
m = 0.390 mol/kg
Applying it to the freezing point
` Delta T_f = K_f xx m`
` Delta T_f = 1.86 K kg "mol"^(-1) xx 0.390 "mol" kg^(-1) = 0.725 K`
Freezing point of the solution = 273.15 K - 0.725 K = 272.425 K


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