Chapter 14, Problem 63E

Interpretation Introduction

Interpretation:

The volume of water required to make solution with 1atm osmotic pressure using 1 mol of non-electrolyte at 273 K temperature needs to be determined. The gas law on which the problem is based need be explained.

Concept introduction:

It is assumed that the solution is highly diluted, and its volume is approximately close to the volume of solvent containing it. This volume is equal to molar volume of an ideal gas at standard pressure and temperature. The osmotic pressure equation is corresponded to the ideal gas equation is as follows:

$\pi \text{=}\frac{n}{v}RT=c_{i}RT$

Here,

$\begin{array}{l}\pi =\text{ Osmotic pressure}\\ \text{T = The absolute temperature}\\ \text{R = The gas constant}\\ {\text{c}}_{\text{i}}\text{ = Molar concentration of solute i in dilute solution}\end{array}$