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 Message 1 of 9 in Discussion 
From: MSN NicknameGuy_SoCa  (Original Message)Sent: 10/5/2008 6:33 AM
Hi Steve and all! A couple of questions. Thanx in advanced!

You don't have to solve the problems if you don't wish you, but more importantly can you explain what's happening and how to approach the problem..

1) What is the pH of a solution obtained mixing 200ml of 0.4 M aq ammonia (NH3) with 300ml of 0.2 M HCl? (Kb = 1.8 E-5)

2)What is the pH of a solution obtained by mixing 400ml of 0.2M NaOH with 150ml of 0.1 m H3PO4 (phosphoric acid)?
(pKa's are 2.12, 7.21, 12.32
In this problem there are a couple of things I don't understand. First, I notice that the number of moles of NaOH are almost 8 times more than that of the weak acid itself. Does this mean that the only necessary pKa is the last one since the final pH will be close to the 3rd pKa?
And this brings another question, when dealing with polyprotic acids, how do I know which Ka I should be using?


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Reply
 Message 2 of 9 in Discussion 
From: MSN Nickname·Steve·Sent: 10/5/2008 8:34 AM
Both of these problems involve two parts:

1.  Calculate the amounts of everything in the reaction after adding the HCl or NaOH, and
2.  Calculate the pH

The first problem is the easiest.  Here is the reaction and the initial amounts present and the amounts after the reaction:

                    NH3 (aq)   +   HCl (aq)   ––�?gt;   NH4Cl (aq)
Initially:         0.08 mol        0.06 mol                 0
After Rxn:      0.02 mol            0                     0.06 mol

HCl is the limiting reactant and NH3 is in excess.

To calculate the pH, you can then simply plug into the Henderson-Hasselbalch equation:

pH  =  pKa  +  log (moles of NH3 / moles of NH4+)

Note that you can use moles in the last term and do not have to convert to molarity, because the total volume of the solution cancels when you divide moles in the numerator and denominator by the total volume to get molarities.
 
 
 
 
The second problem is actually more complicated, because NaOH is not a strong enough base to react completely with phosphoric acid in aqueous solution.  The first two acidic hydrogens in H3PO4 do react completely, but the third hydrogen does not react completely and you end up with an equilibrium mixture:

                         H3PO4 (aq)   +   2 NaOH (aq)     ––�?gt;    Na2HPO4 (aq)   +   2 H2O (l)
Initially:               0.015 mol           0.08 mol                         0                           �?BR>After Rxn:                0                   0.05 mol                     0.015 mol                   �?/FONT>

                         Na2HPO4 (aq)   +   NaOH (aq)          Na3PO4 (aq)   +   H2O (l)
Initially:               0.015 mol              0.05 mol                          0                       �?BR>At Equilibrium:     0.015 �?x               0.05 �?x                          x                       �?/FONT>

If we can calculate x, we can calculate the moles of NaOH and thus can obtain the OH�?/SUP> concentration, from which we can calculate the pH.  To do so, we need to know the value of the equilibrium constant for this reaction.  I can calculate a value by adding the following two reactions together (I'll omit the spectator Na+ ions for simplicity):

                         HPO42�?/SUP> (aq)      H+ (aq)  +  PO43�?/SUP> (aq)                         K3  =  4.8 X 10�?3
                         H+ (aq)  +  OH�?/SUP> (aq)      H2O (l)                                    K  =  1/Kw  =  1.0 X 1014
                         __________________________________________________________________________
 
                         HPO42�?/SUP> (aq)  +  OH�?/SUP> (aq)     PO43�?/SUP> (aq)  +  H2O (l)        Keq  =  48

I once found a website that gave the H3PO4, NaH2PO4, Na2HPO4, and Na3PO4 concentrations when various amounts of NaOH were present, but I did not run across it or a similar one this time.  The message search here did not find it either (that was several years ago).  But as I recall, the Keq value I derived from the website data was somewhat different from the value of 48 I obtained above. 
 

It is more probable that you are supposed to assume that the H3PO4 reacts completely (most people do not realize that it does not, unless a very large excess of NaOH is present).  This would give,

                       H3PO4 (aq)   +   3 NaOH (aq)    ––�?gt;    Na3PO4 (aq)   +   3 H2O (l)
Initially:             0.015 mol           0.08 mol                        0                        �?BR>After Rxn:              0                   0.035 mol                  0.015 mol                �?/FONT>

In this case, you can approximate the pH of the solution based on the concentration of hydroxide ion from the NaOH that remains in excess and ignore the effect of the Na3PO4.  This may be what is expected from the problem.
 
 
Steve

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The number of members that recommended this message. 0 recommendations  Message 3 of 9 in Discussion 
Sent: 10/5/2008 8:35 AM
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 Message 4 of 9 in Discussion 
From: MSN NicknameAlbert1145Sent: 10/5/2008 8:42 AM
Hi Steve,
How do I tell which one is Cb and which is Ca in the Henderson-Hasselbalch equation.

Reply
 Message 5 of 9 in Discussion 
From: MSN Nickname·Steve·Sent: 10/5/2008 8:53 AM
Hi Albert, Ca is the concentration of the weak acid and Cb is the concentration of the weak base in the buffer solution (you can use moles rather than molarities in the Henderson-Hasselbalch equation for these).
 
You do have to memorize common weak acids and their conjugate bases such as the acetic acid - acetate pair and ammonium ion - ammonia pair.  You add H+ to the formula to get the conjugate acid of a compound, and you remove H+ to get the conjugate base of a compound.
 
Therefore, the conjugate acid of ammonia, NH3, is obtained by adding H+, which gives NH4+, the ammonium ion.
 
The conjugate base of acetic acid, HC2H3O2, is obtained by removing H+, which gives C2H3O2�?/SUP>, the acetate ion.
 
 
Steve

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 Message 6 of 9 in Discussion 
From: MSN NicknameMaboma7Sent: 10/18/2008 6:25 AM
Prepare the NaOH solution by dissolving approxiamatly 4g of solid NaOH in 200ml of water.Find the approximate NaOH concetration (MW=40.00)

I got W=40.00/0.2l=200

Is this right






Reply
 Message 7 of 9 in Discussion 
From: MSN NicknameMaboma7Sent: 10/18/2008 6:33 AM
Hey steve

Can you guide me on How to find the mass of benzoic acid require to react in stoichiometric proportion with 20 ml of the NaOH solution(MW=122.12)?

Reply
 Message 8 of 9 in Discussion 
From: MSN Nickname·Steve·Sent: 10/20/2008 1:47 AM
>>  I got W=40.00/0.2l=200  <<
 
Let's see, molarity = moles / liters, and moles = grams / MW, so the molarity of the NaOH solution will be
 
4.00 g / 40.00 g/mol   =   0.100 mol   =   0.500 mol/L  or  0.500 M
         0.200 L                   0.200 L
 
I'm just "plugging in" in order to calculate the moles and molarity. 
 
 
Steve

Reply
 Message 9 of 9 in Discussion 
From: MSN Nickname·Steve·Sent: 10/20/2008 1:53 AM
>>  mass of benzoic acid required to react in stoichiometric proportion with 20 mL of the NaOH solution (MW of benzoic acid =122.12 g/mol)  <<
 
Since this is a 1:1 reaction, moles of NaOH = moles of benzoic acid.
 
moles of NaOH  =  volume in liters  X  molarity  =  0.020 L  X  0.500 mol/L  =  0.010 mol of NaOH.
 
moles of benzoic acid  = moles of NaOH  =  0.010 mol.
 
grams of benzoic acid  =  moles  X  molar mass  =  0.010 mol  X  122.12 g/mol  =  
 

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