Chapter 13.7, Problem 13.14E

Interpretation Introduction

Interpretation:

The vapor pressure of water over a solution containing $\text{50}\text{.0g}$ of sucrose has to be calculated.

Concept Introduction:

Raoult’s law: Raoult’s law states that solvent partial pressure over a solution is equal to vapor pressure of pure solvent multiplied with mole fraction of the solvent.

  ${\text{P}}_{\text{1}}{\text{= χ}}_{\text{1}}{\text{P}}^{\text{°}}{}_{\text{1}}$

Where, ${\text{P}}_{\text{1}}=$ Partial pressure of solvent

${\text{P}}_{\text{1}}^{\circ }=$ Partial pressure of its pure solvent

  ${\text{χ}}_{\text{1}}=$ Mole fraction of the solvent

From given mass of substance moles could be calculated by using the following formula,

  $\text{Moles}\text{of}\text{substance }\text{= }\frac{\text{Given}\text{mass}\text{of}\text{substance}}{\text{Molecular}\text{mass}}$

Mole fraction calculation:

Mole fraction is the ratio number of moles of a species to that of total number of moles of solution.

  $\text{Mole}\text{fraction}\text{of}\text{solute}\text{x}\text{in}\text{the}\text{mixture}\text{of}\text{x}\text{and}\text{y}\text{=}\frac{{\text{n}}_{\text{x}}}{{\text{n}}_{\text{x}}\text{+}{\text{n}}_{\text{y}}}$