I have to agree with @Michael X that NH4H2SO4 does not exist. So looking at the other 2 likely possibilities, we have...
NH4HSO4 and (NH4)2SO4
To find the oxidation number of S, we look at the oxidation numbers of the other elements and from that, we deduce the number for S.
Both NH4HSO4 and (NH4)2SO4 are neutral compounds (they have no net charge). NH4 has a charge of +1.
For NH4HSO4, HSO4 therefore is -1. Since H is +1 and each O is -2, that totals -7. By simply subtraction, that means that S must be +6 in order for the HSO4 to total -1. So, oxidation number of S is +6
For (NH4)2SO4, again, NH4 is +1, leaving SO4 to be -2 since there are 2 NH4 moieties. The 4 oxygens total -8 so for the SO4 to be -2, the S must be + 6. Again, oxidation number of S is +6.
Now, IF the original structure NH4H2SO4 were to exist, and applying the same rationale as above, we would calculate the oxidation number of S to be +5, as your professor states. So maybe this was a trick question, and a poor one at that. NH4 = +1; 2H = +2; 2O = -8 so S = +5 (all must add to zero since there is no charge on the molecule).
Mary S.
Thank you!01/21/25