## problem 3.85b

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skyeblee2F
Posts: 62
Joined: Fri Sep 28, 2018 12:23 am

### problem 3.85b

How is it possible that SO2 and SO3 have the same bond length, as implied by the solutions manual? Doesn't SO3 have more bonds between atoms and thus longer bonds, since bond length is inversely related to the number of bonds between atoms?

Emmaraf 1K
Posts: 94
Joined: Sat Oct 20, 2018 12:16 am

### Re: problem 3.85b

Bond length isn't related to the number of bonds in the molecule. The bonds within SO2 and SO3 are all double bonds so the bond strength/bond length is considered equal. You can think of the bond lengths as averages of the lengths of all the bonds in the molecule and so given the length of an S=O bond as x, the length of the bonds in SO2 is (x+x)/2=x and the length of the bonds in SO3 is (x+x+x)/3=x. In both cases, the bond length is x aka the same.

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