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Exercise · Q4

Q.Calculate the oxidation number of the underlined atom in each of the following:

(a) Mn‾\underline{\text{Mn}} in KMnO4\text{KMnO}_4,
(b) Cr‾\underline{\text{Cr}} in K2Cr2O7\text{K}_2\text{Cr}_2\text{O}_7,
(c) S‾\underline{\text{S}} in H2SO4\text{H}_2\text{SO}_4,
(d) N‾\underline{\text{N}} in HNO3\text{HNO}_3.
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(a) KMnO4\text{KMnO}_4: K=+1\text{K}=+1, four O at −2-2 each gives −8-8. Neutral formula: (+1)+x+(−8)=0⇒x=+7(+1) + x + (-8) = 0 \Rightarrow x = +7. So Mn=+7\text{Mn} = +7.\n\n(b) K2Cr2O7\text{K}_2\text{Cr}_2\text{O}_7: two K give +2+2, seven O give −14-14. Neutral formula: 2+2x−14=0⇒2x=12⇒x=+62 + 2x - 14 = 0 \Rightarrow 2x = 12 \Rightarrow x = +6. So Cr=+6\text{Cr} = +6.\n\n(c) H2SO4\text{H}_2\text{SO}_4: two H give +2+2, four O give −8-8. Neutral formula: 2+x−8=0⇒x=+62 + x - 8 = 0 \Rightarrow x = +6. So S=+6\text{S} = +6.\n\n(d) HNO3\text{HNO}_3: one H gives +1+1, three O give −6-6. Neutral formula: 1+x−6=0⇒x=+51 + x - 6 = 0 \Rightarrow x = +5. So N=+5\text{N} = +5. [!ANSWER] (a) Mn=+7\text{Mn} = +7; (b) Cr=+6\text{Cr} = +6; (c) S=+6\text{S} = +6; (d) N=+5\text{N} = +5.

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