   Chapter 13, Problem 20PS

Chapter
Section
Textbook Problem

The Henry’s law constant for O2 in water at 25 ° is given in Table 13.2. Which of the following is a reasonable constant when the temperature is 50 °C? Explain the reason for your choice. (a) 6.7 × 10−4 mol/kg · bar (b) 2.6 × 10−3 mol/kg · bar (c) 1.3 × 10−3 mol/kg · bar (d) 6.4 × 10−3 mol/kg · bar TABLE 13.2Henry’s Law Constants for Gases in Water (25 °C)* Interpretation Introduction

Interpretation: The henry constant of oxygen at 50oC to be identified.

Concept introduction:

Henry’s law: The solubility of a gas in liquid is directly proportional to the gas pressure.

Sg= kHPg,where,Sgisthegassolubility(inmol/kg)kHis Henry's constant Pg is the partial pressure of the gaseous solute.

Explanation

Reason for correct answer:

Given:Henry's law constant of O2 at 25oC(KH) 1.3×10-3(mol/Kg.bar)Mole of O2in1Kgof waterat1-bar is 1.3×10-3.1L of water hasmass=1kgConcentration=kH× PO2(Henry's law)1

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