Determining correct pKas in organic chemistry

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Homework Statement


This is a problem taken from an old exam:
C. Which set of pKa’s is correct?
1. CH3COCH3 -7.0 2. CH3COCH3 -19.0
CH3COOH 4.8 CH3COOH -4.8
HCl 19.0 HCl 7.0

3. CH3COCH3 4.8 4. CH3COCH3 19.0
CH3COOH 7.0 CH3COOH 4.8
HCl 16.0 HCl -7.0


Homework Equations


None that I know of.


The Attempt at a Solution


I know from looking at the pKa values we were given in the lecture than the right answer is #4. Nevertheless, I was wondering if there was a way to get to this answer without learning the pKas by heart (a reasoning that would make the question logical).

Thank you,

Joanna.
 
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The higher the pKa, the more basic a substance is. HCl is a strong acid, therefore it should be negative... correct?
 
A general rule that I learned in Ochem...know water (about 16)...strong bases will have a high pKa and a strong acids will have a low one. Weak acids will be close to water.