Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Three acids of phosphorus have two phosphorus atoms. Hypophosphoric acid, , has a P-P bond, one P=O and two OH groups on each phosphorus atom. Pyrophosphorous acid, , has a P-O-P bridge, and each phosphorus atom has one P=O, one OH group and one P-H bond. Pyrophosphoric acid, , has a P-O-P bridge and two OH groups with one P=O on each phosphorus atom. Find the oxidation state of phosphorus in each acid. Then find the amount of sodium hydroxide that neutralises of pyrophosphorous acid completely.
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. Use the sum of oxidation states, and then count the P-OH groups.
Step 1. . Six oxygen atoms give and four hydrogen atoms give . The two phosphorus atoms give , so each is . The P-P bond does not change this.
Step 2. . Seven oxygen atoms give and four hydrogen atoms . The phosphorus atoms give , so each is .
Step 3. . Five oxygen atoms give and four hydrogen atoms . Together the phosphorus atoms give , so each is .
Step 4. The base. has two P-OH groups and two P-H bonds, so it is dibasic. of sodium hydroxide.
Answer: , and , and of base.
Check. The hydrogen atoms on phosphorus do not count. If they did, the base would be , which is wrong.
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