Elevation of Boiling Point ($$\Delta T_b$$)

Rarely Tested

$$\Delta T_b = i \cdot K_b \cdot m$$

Concept: A Colligative Property  - Calculates the increase in the boiling point of a solvent upon the addition of a non-volatile solute.

Notation:

  • $$\Delta T_b$$ = Elevation of boiling point ($$T_b - T_b^\circ$$);
  • $$i$$ = van 't Hoff factor;
  • $$K_b$$ = Molal elevation constant (Ebullioscopic constant);
  • $$m$$ = Molality of solution.
Question 1

In a solvent S, a compound B is partially dissociated into C and D as given below:

$$\mathbf{B}\rightleftharpoons 2\mathbf{C}+2\mathbf{D}$$

B, C and D are non-volatile in nature. The molar mass of B is 10 times the molar mass of S. The standard boiling point and the standard enthalpy of vaporization of S are 400 K and $$10R$$ J mol$$^{-1}$$, respectively ($$R$$ is the gas constant in J K$$^{-1}$$ mol$$^{-1}$$). A solution of B in S with an initial concentration of B as 0.25% (mass/mass) has a boiling point of 408 K at 1 bar pressure. In this solution, the mole percent of B that has been dissociated is ___.

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