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Problem 16.73 Ephedrine, a central nervous system stimulant, is used in nasal sp

ID: 939507 • Letter: P

Question

Problem 16.73

Ephedrine, a central nervous system stimulant, is used in nasal sprays as a decongestant. This compound is a weak organic base:
C10H15ON(aq)+H2O(l)C10H15ONH+(aq)+OH(aq)
A 0.035 M solution of ephedrine has a pH of 11.33.

Part A

What is the equilibrium concentration of C10H15ON?

Express your answer using two significant figures.

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Part B

What is the equilibrium concentration of C10H15ONH+?

Express your answer using two significant figures.

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Part C

What is the equilibrium concentration of OH?

Express your answer using two significant figures.

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Part D

Calculate Kb for ephedrine.

Express your answer using two significant figures.

[C10H15ON] =   M  

Explanation / Answer

Answer – Given, [C10H15ON] = 0.035 M , pH = 11.33

We know,

pH + pOH = 14

so, pOH = 14- pH

              = 14- 11.33

              = 2.67

So, [OH-] = 10-pOH

                 = 10-2.67

                          = 0.00214 M

   We know

   C10H15ON + H2O ------> C10H15ONH+ + OH-

I   0.035                              0                 0

C -x                                 +x              +x

E 0.035-x                           +x               +x

We know, at equilibrium, [OH-] = x = 0.00214 M

Part A) [C10H15ON] = 0.035 -x

                              = 0.035-0.00214

                               = 0.033 M

Part B)

We know, [C10H15ONH+] = x = 0.0021 M

Part C) , [OH-] = x = 0.0021 M    

Part D)

Kb = [C10H15ONH+][OH-] / [C10H15ON]

      = 0.00214 *0.00214 / 0.033

       = 1.4* 10-4