Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Phosphoric acid, , has one P=O and three OH groups. Its three measured pKa values are , and . Use Pauling's rule, , with equal to the number of non-hydroxyl oxygen atoms, and 5 more for each next hydrogen. Find the three estimates and compare them with the data. Then find, from the data, the difference between the second and the first pKa. Last, chloric acid, , has two non-hydroxyl oxygen atoms and hypochlorous acid, HOCl, has none. By how many powers of ten does the rule make stronger than HOCl?
The basicity of an oxoacid is the number of X-OH groups. Hydrogen atoms bonded to the central atom are not acidic. The oxidation state comes from oxygen at (at in an O-O link) and hydrogen at , shared among the central atoms. Pauling's rule gives the first pKa as about , for non-hydroxyl oxygen atoms, and each next hydrogen is about 5 units weaker.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Plan. Find , apply the rule, and compare.
Step 1. The value of n. has one P=O and no other oxygen atom without hydrogen, so .
Step 2. The estimates. . The next two are and .
Step 3. Compare. The data are , and . They are less than one unit below the estimates each time, so the rule is good to within one unit here.
Step 4. The data difference. , close to the 5 of the rule.
Step 5. The two chlorine acids. The rule gives for and for HOCl. The difference is pKa units, which is a factor of in , so 10 powers of ten.
Answer: estimates 3, 8 and 13, a data difference of 5.05, and 10 powers of ten.
Check. Both the rule and the data show that each hydrogen is about times weaker than the one before.
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