Question

The freezing point depression law is (equation 1, ∆T_f = k_f * m), where m is the molal concentration of solute and k_f is the molal freezing point depression constant.

Equation 1 is actually an approximation (which is valid for dilute solutions) of the following equation:

∆T_f = K_f * X₂ (equation 2)

In this equation, X₂ is the mole fraction of solute and K_f is a proportionality constant.

Question 1: Show that Equation 2 reduces to Equation 1 for dilute solutions, e.g. X₂ << X₁ , where X₁ is the mole fraction of solvent.

Question 2: What is the algebraic relationship between k_f and K_f ?

Thanks in advance! ^-^

Answer 1

Dear friend your answer should be

Thank you.