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percent ionization, using Ka value

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Author Topic: percent ionization, using Ka value  (Read 8743 times)
Sunil
Jr. Member
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Posts: 89

AP Chem Student




« on: March 31, 2008, 05:29:52 PM »

(a) Calculate the percent ionization of 0.0075 M butanoic acid (Ka = 1.5 x 10-5).

I did this problem, but answer didn't match the book.

I set up ice chart and everything, but I don't how to use the table feature in here to show it to you. I used the equation:

HC4H7O2 <--> H+ + C4H7O2-

For my equilibrium terms, I got (0.0075 - x), x, x, respectively.

For my Ka expression, I had: x2 / (0.0075 - x)

Finally my quadratic equation: -x2 - 1.4E-14x + 1.05E-6 = 0

x = 0.001024695 M, and percent ionization = (0.001024695 M /0.0075 M) = 13.66%


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Sunil
Jr. Member
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Posts: 89

AP Chem Student




« Reply #1 on: March 31, 2008, 05:59:21 PM »
1

Also, I have a question about the following problem too:

"Explain why a mixture of HC2H3O2 and NaC2H3O2 can act as buffer while a mixture of HCl and NaCl cannot."

My answer was that a buffered solution contains a weak conjugate acid-base pair, not strong acid like HCl. I have a feeling that it wont be enough on a AP exam. Is it correct?
hey
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spock
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« Reply #2 on: March 31, 2008, 07:28:12 PM »
2

Based on the [HA] and the Ka value I'm coming up with a [H+] of 3.28E-04.

I'd check out out your quadratic formula, I think it should be:
                    x2    +  1.5x10-5 x   - 1.125E-7 = 0
That will lead the concentration of H+ above.

I think your answer about the buffers isn't bad.  You might improve it by stating that since acetic acid is a weak acid, its conjugate base is relatively strong and thus able to neutralize added acid.  HCl is a strong acid and its conjugate base is very weak and thus has little ability to neutralize any additional acid.




hey
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ejswaim
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« Reply #3 on: March 24, 2010, 12:42:58 PM »
3

For this equation if you get messy quadratic formula numbers that means your x value is very very tiny.
In this case, you can just drop the the x in .0075-x.
Then you're left with x2 / (0.0075)= 1.5 x 10-5<---ka value
square root both sides to findyour x.
x/.0075 = squareroot 1.5 X10^-5
thats how youll find your x value! hope this helps!
hey
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