<< Chapter < Page Chapter >> Page >

The ph of a solution of a salt of a weak base and a strong acid

Aniline is an amine that is used to manufacture dyes. It is isolated as aniline hydrochloride, [ C 6 H 5 NH 3 + ] Cl , a salt prepared by the reaction of the weak base aniline and hydrochloric acid. What is the pH of a 0.233 M solution of aniline hydrochloride?

C 6 H 5 NH 3 + ( a q ) + H 2 O ( l ) H 3 O + ( a q ) + C 6 H 5 NH 2 ( a q )

Solution

The new step in this example is to determine K a for the C 6 H 5 NH 3 + ion. The C 6 H 5 NH 3 + ion is the conjugate acid of a weak base. The value of K a for this acid is not listed in Appendix H , but we can determine it from the value of K b for aniline, C 6 H 5 NH 2 , which is given as 4.3 × 10 −10 ( [link] and Appendix I ):

K a ( for C 6 H 5 NH 3 + ) × K b ( for C 6 H 5 NH 2 ) = K w = 1.0 × 10 −14
K a ( for C 6 H 5 NH 3 + ) = K w K b ( for C 6 H 5 NH 2 ) = 1.0 × 10 −14 4.3 × 10 −10 = 2.3 × 10 −5

Now we have the ionization constant and the initial concentration of the weak acid, the information necessary to determine the equilibrium concentration of H 3 O + , and the pH:

Four tan rectangles are shown that are connected with right pointing arrows. The first is labeled “Determine the direction of change.” The second is labeled “Determine x and the equilibrium concentrations.” The third is labeled “Solve for x and the equilibrium concentrations.” The fourth is labeled “Check the math.”

With these steps we find [H 3 O + ] = 2.3 × 10 −3 M and pH = 2.64

Check your learning

(a) Do the calculations and show that the hydronium ion concentration for a 0.233- M solution of C 6 H 5 NH 3 + is 2.3 × 10 −3 and the pH is 2.64.

(b) What is the hydronium ion concentration in a 0.100- M solution of ammonium nitrate, NH 4 NO 3 , a salt composed of the ions NH 4 + and NO 3 . Use the data in [link] to determine K b for the ammonium ion. Which is the stronger acid C 6 H 5 NH 3 + or NH 4 + ?

Answer:

(a) K a ( for NH 4 + ) = 5.6 × 10 −10 , [H 3 O + ] = 7.5 × 10 −6 M ; (b) C 6 H 5 NH 3 + is the stronger acid.

Got questions? Get instant answers now!

Salts of weak acids and strong bases

When we neutralize a weak acid with a strong base, we get a salt that contains the conjugate base of the weak acid. This conjugate base is usually a weak base. For example, sodium acetate, NaCH 3 CO 2 , is a salt formed by the reaction of the weak acid acetic acid with the strong base sodium hydroxide:

CH 3 CO 2 H ( a q ) + NaOH ( a q ) NaCH 3 CO 2 ( a q ) + H 2 O ( a q )

A solution of this salt contains sodium ions and acetate ions. The sodium ion, as the conjugate acid of a strong base, has no effect on the acidity of the solution. However, the acetate ion, the conjugate base of acetic acid, reacts with water and increases the concentration of hydroxide ion:

CH 3 CO 2 ( a q ) + H 2 O ( l ) CH 3 CO 2 H ( a q ) + OH ( a q )

The equilibrium equation for this reaction is the ionization constant, K b , for the base CH 3 CO 2 . The value of K b can be calculated from the value of the ionization constant of water, K w , and K a , the ionization constant of the conjugate acid of the anion using the equation:

K w = K a × K b

For the acetate ion and its conjugate acid we have:

K b ( for CH 3 CO 2 ) = K w K a ( for CH 3 CO 2 H ) = 1.0 × 10 −14 1.8 × 10 −5 = 5.6 × 10 −10

Some handbooks do not report values of K b . They only report ionization constants for acids. If we want to determine a K b value using one of these handbooks, we must look up the value of K a for the conjugate acid and convert it to a K b value.

Equilibrium in a solution of a salt of a weak acid and a strong base

Determine the acetic acid concentration in a solution with [ CH 3 CO 2 ] = 0.050 M and [OH ] = 2.5 × 10 −6 M at equilibrium. The reaction is:

CH 3 CO 2 ( a q ) + H 2 O ( l ) CH 3 CO 2 H ( a q ) + OH ( a q )

Solution

We are given two of three equilibrium concentrations and asked to find the missing concentration. If we can find the equilibrium constant for the reaction, the process is straightforward.

The acetate ion behaves as a base in this reaction; hydroxide ions are a product. We determine K b as follows:

K b ( for CH 3 CO 2 ) = K w K a ( for CH 3 CO 2 H ) = 1.0 × 10 −14 1.8 × 10 −5 = 5.6 × 10 −10

Now find the missing concentration:

K b = [ CH 3 CO 2 H ] [ OH ] [ CH 3 CO 2 ] = 5.6 × 10 −10
= [ CH 3 CO 2 H ] ( 2.5 × 10 −6 ) ( 0.050 ) = 5.6 × 10 −10

Solving this equation we get [CH 3 CO 2 H] = 1.1 × 10 −5 M .

Check your learning

What is the pH of a 0.083- M solution of CN ? Use 4.9 × 10 −10 as K a for HCN. Hint: We will probably need to convert pOH to pH or find [H 3 O + ] using [OH ] in the final stages of this problem.

Answer:

11.11

Got questions? Get instant answers now!

Questions & Answers

What is stoichometry
ngwuebo Reply
what is atom
yinka Reply
An indivisible part of an element
ngwuebo
the smallest particle of an element which is indivisible is called an atom
Aloaye
An atom is the smallest indivisible particle of an element that can take part in chemical reaction
Alieu
is carbonates soluble
Ebuka Reply
what is the difference between light and electricity
Joshua Reply
What is atom? atom can be defined as the smallest particles
Adazion
what is the difference between Anode and nodes?
Adazion
What's the net equations for the three steps of dissociation of phosphoric acid?
Lisa Reply
what is chemistry
Prince Reply
the study of matter
Reginald
what did the first law of thermodynamics say
Starr Reply
energy can neither be created or distroyed it can only be transferred or converted from one form to another
Adedeji
Graham's law of Diffusion
Ayo Reply
what is melting vaporization
Anieke Reply
melting and boiling point explain in term of molecular motion and Brownian movement
Anieke
Scientific notation for 150.9433962
Steve Reply
what is aromaticity
Usman Reply
aromaticity is a conjugated pi system specific to organic rings like benzene, which have an odd number of electron pairs within the system that allows for exceptional molecular stability
Pookieman
what is caustic soda
Ogbonna Reply
sodium hydroxide (NaOH)
Kamaluddeen
what is distilled water
Rihanat
is simply means a condensed water vapour
Kamaluddeen
advantage and disadvantage of water to human and industry
Abdulrahman Reply
a hydrocarbon contains 7.7 percent by mass of hydrogen and 92.3 percent by mass of carbon
Timothy Reply
how many types of covalent r there
JArim Reply
how many covalent bond r there
JArim
they are three 3
Adazion
TYPES OF COVALENT BOND-POLAR BOND-NON POLAR BOND-DOUBLE BOND-TRIPPLE BOND. There are three types of covalent bond depending upon the number of shared electron pairs. A covalent bond formed by the mutual sharing of one electron pair between two atoms is called a "Single Covalent bond.
Usman

Get the best Chemistry course in your pocket!





Source:  OpenStax, Chemistry. OpenStax CNX. May 20, 2015 Download for free at http://legacy.cnx.org/content/col11760/1.9
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Chemistry' conversation and receive update notifications?

Ask