Chapter 15, Problem 61GQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# A Boric acid and glycerin form a complexB(OH)3(aq) + glycerin(aq) ⇄ B(OH)3 · glycerin(aq)with an equilibrium constant of 0.90. If the concentration of boric acid is 0.10 M, how much glycerin should be added, per liter, so that 60.% of the boric acid is in the form of the complex?

Interpretation Introduction

Interpretation:

The amount of glycerine that has added so that 60% of boric acid will be in the form of complex in the reaction B(OH)3(aq)+glycerinB(OH)3.glycerin(aq) has to be calculated.

Concept Introduction:

Equilibrium constantKC for a general reaction is:

aA(g)+bB(g)cC(g)+dD(g)KC=[C]c×[D]d[A]a×[B]b

Equilibrium constant in terms of pressure[Kp]: Equilibrium constant can be expressed in terms of partial pressures in atmospheres.

aA(g)+bB(g)cC(g)+dD(g)KP=PCc×PDdPAa×PBb

Explanation

Given:

B(OH)3â€‰â€‰â€‰â€‰â€‰â€‰(aq)â€‰â€‰â€‰â€‰+â€‰â€‰glycerinâ€‰â€‰â‡„â€‰â€‰â€‰B(OH)3.glycerinâ€‰(aq)KCâ€‰â€‰â€‰â€‰â€‰â€‰â€‰=â€‰â€‰0.90Concentrationâ€‰ofâ€‰B(OH)3â€‰â€‰=â€‰0.10â€‰Mâ€‰

Given that 60% of the given boric acid will be in the form of complex

60Ã—0.1100â€‰â€‰â€‰=â€‰0.06â€‰M

At equilibrium [B(OH)3]â€‰â€‰=â€‰â€‰0.1-0.06â€‰=â€‰â€‰0.04â€‰M

â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰B(OH)3â€‰â€‰â€‰â€‰â€‰â€‰(aq)â€‰â€‰â€‰â€‰+â€‰â€‰glycerinâ€‰â€‰â‡„â€‰â€‰â€‰B(OH)3.glycerinâ€‰(aq)Initialâ€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰0.10â€‰Mâ€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰xâ€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰0Equilibriumâ€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰0

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