Use the shortcut rules to assign an oxidation state to each atom in: (a) \(\mathrm{PCl}_{3}\) (b) \(\mathrm{H}_{2} \mathrm{~S}\) (c) \(\mathrm{MnO}_{4}^{-}\) (d) \(\mathrm{HNO}_{3}\) (e) \(\mathrm{HCOOH}\) (f) \(\mathrm{S}_{2} \mathrm{O}_{3}^{2-}\)

Short Answer

Expert verified
The oxidation states of the given compounds are: (a) PCl$_3$: P: +3, Cl: -1 (b) H$_2$S: H: +1, S: -2 (c) MnO$_4^{-}$: Mn: +7, O: -2 (d) HNO$_3$: H: +1, N: +5, O: -2 (e) HCOOH: H: +1, C: 0/+2, O: -2 (f) S$_2$O$_3^{2-}$: S: +2/+4, O: -2

Step by step solution

01

(a) PCl3

For PCl3 (phosphorus trichloride), let's assign the oxidation state of P as x and for Cl as -1 (as per the rules for halogens). Using rule 3: x + 3(-1)= 0, solving for x we get, x = +3. So, the oxidation states are P: +3, Cl: -1.
02

(b) H2S

For H2S (hydrogen sulfide), let's assign the oxidation state of H as +1 (as per the rules for hydrogen) and for S as x. Using rule 3: 2(+1) + x = 0, solving for x we get, x = -2. So, the oxidation states are H: +1, S: -2.
03

(c) MnO4-

For MnO4- (permanganate ion), let's assign the oxidation state of Mn as x and for O as -2 (as per the rules for oxygen). Using rule 3: x + 4(-2) = -1, solving for x we get, x = +7. So, the oxidation states are Mn: +7, O: -2.
04

(d) HNO3

For HNO3 (nitric acid), let's assign the oxidation state of H as +1 (as per the rules for hydrogen), for N as x and for O as -2 (as per the rules for oxygen). Using rule 3: +1 + x + 3(-2) = 0, solving for x we get, x = +5. So, the oxidation states are H: +1, N: +5, O: -2.
05

(e) HCOOH

For HCOOH (formic acid), let's assign the oxidation state of H as +1 (as per the rules for hydrogen), for C in both instances as x, and for O as -2 (as per the rules for oxygen). Using rule 3: +1 + x + 2(-2) + x + 1 = 0, solving for x we get, x = 0 (for the C bonded to the H), x = +2 (for the C bonded to the O). So, the oxidation states are H: +1, C: 0/+2, O: -2.
06

(f) S2O3^2-

For S2O3^2- (thiosulfate ion), let's assign the oxidation state of S as x (for both sulfur atoms) and for O as -2 (as per the rules for oxygen). Using rule 3: 2x + 3(-2) = -2, solving for x we get, x = +2 (for the S bonded to the other S atom), x = +4 (for the S bonded to the three O atoms). So, the oxidation states are S: +2/+4, O: -2.

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