TBR Buffers and Titration Ex 5.2

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Post the question? My intuition says no, but I can't know without example.

Which of the following solutions results in a buffer with a pH of 5.0, given that HA has a pKa of 4.7

A. HA with 0.5 equivalent of A-
B. A- with 1 equivalent of HA
C. HA with one-third equivalent of OH-
D. A- with one-third equivalent of H3O+
 
Which of the following solutions results in a buffer with a pH of 5.0, given that HA has a pKa of 4.7

A. HA with 0.5 equivalent of A-
B. A- with 1 equivalent of HA
C. HA with one-third equivalent of OH-
D. A- with one-third equivalent of H3O+

I am going with choice D
 
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B. equal concentrations of acid and conj base - pH would be 4.7. so this is out
A. some HA with less A-, more acid than conj base, so pH would be below 4.7, so this is out.
C. HA with one third of that HA deprotonated by OH-, so you have a mix of 1/3 A- and 2/3 HA, again more acid than base, pH below 4.7, so this is out.
D. A- with one third of that A- protonated by H30+, so you have a mix of 1/3 HA and 2/3 A-, more base than acid, pH would be above the halfnhalf point of 4.7, so this is it.

someone correct me if that's wrong.
 
B. equal concentrations of acid and conj base - pH would be 4.7. so this is out
A. some HA with less A-, more acid than conj base, so pH would be below 4.7, so this is out.
C. HA with one third of that HA deprotonated by OH-, so you have a mix of 1/3 A- and 2/3 HA, again more acid than base, pH below 4.7, so this is out.
D. A- with one third of that A- protonated by H30+, so you have a mix of 1/3 HA and 2/3 A-, more base than acid, pH would be above the halfnhalf point of 4.7, so this is it.

someone correct me if that's wrong.
I agree and to answer the question H3O+ and OH- are not the sane thing as HA and A-. The latter two react with the acid or base. For example 1 mole. Of HA and .5 mole of OH- would react to form roughly .5 moles each of HA and A-.
 
Yeah, I knew A and B were wrong, but since they used OH- and H3O+ instead of A- and HA, I didn't understand choices C and D. Are answer choices phrased like this on the MCAT?
 
i dont think it would be too far fetched for answers like C and D to be given. they are specifically testing the kind of thought process you yourself had - is an option that says A- and HA mixed the same as OH- and HA mixed? no. the OH is strong and will fully react given enough acid, yielding a new A- HA mix. i could see them asking for that process.
 
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