Determine the oxidation number for the indicated element in each of the following substances: (a) \(\mathrm{S}\) in \(\mathrm{SO}_{3},\) (b) Ti in \(\mathrm{TiCl}_{4}\), (c) \(P\) in AgPF \(_{6}\), (d) \(\mathrm{N}\) in \(\mathrm{HNO}_{3}\) (e) \(\mathrm{S}\) in \(\mathrm{H}_{2} \mathrm{SO}_{3},(\mathbf{f}) \mathrm{O}\) in \(\mathrm{OF}_{2}\)

Short Answer

Expert verified
The oxidation numbers for the indicated elements in the given substances are: (a) S in SO3: +6, (b) Ti in TiCl4: +4, (c) P in AgPF6: +5, (d) N in HNO3: +5, (e) S in H2SO3: +4, (f) O in OF2: +2.

Step by step solution

01

(a) S in SO3

: We have the molecule SO3. Oxygen has an oxidation number of -2. There are three oxygen atoms, and we can express the sum of all oxidation numbers as \((\mathrm{oxidation\, number\, of\, S})+(3\cdot (-2))=0\). We solve for the oxidation number of S: \(x + (-6) = 0\) \(x = 6\) The oxidation number of S in SO3 is +6.
02

(b) Ti in TiCl4

: In this case, we have the molecule TiCl4. Chlorine has an oxidation number of -1, and there are four chlorine atoms. The sum of oxidation numbers can be expressed as \((\mathrm{oxidation\, number\, of\, Ti})+(4\cdot (-1))=0\). We solve for the oxidation number of Ti: \(x + (-4) = 0\) \(x = 4\) The oxidation number of Ti in TiCl4 is +4.
03

(c) P in AgPF6

: We have the molecule AgPF6. The oxidation number of Ag is +1 (since it's a monatomic ion), and F has an oxidation of -1. There are six fluorine atoms, and we solve for the oxidation number of P: \(+1 + (\mathrm{oxidation\, number\, of\, P})+(6\cdot (-1))=0\) Now, solve for the oxidation number of P: \(1 + x - 6 = 0\) \( x = 5\) The oxidation number of P in AgPF6 is +5.
04

(d) N in HNO3

: In the molecule HNO3, hydrogen has an oxidation number of +1, oxygen has an oxidation number of -2, and there are three oxygen atoms. We solve for the oxidation number of N: \((+1)+(\mathrm{oxidation\, number\, of\, N})+(3\cdot (-2))=0\) \(1+x-6=0\) \(x=5\) The oxidation number of N in HNO3 is +5.
05

(e) S in H2SO3

: For the molecule H2SO3, hydrogen has an oxidation number of +1, oxygen has an oxidation number of -2, and there are three oxygen atoms. We solve for the oxidation number of S: \((2\cdot (+1))+(\mathrm{oxidation\, number\, of\, S}) + (3\cdot (-2))=0\) \(2+x-6=0\) \(x=4\) The oxidation number of S in H2SO3 is +4.
06

(f) O in OF2

: In the molecule OF2, fluorine has an oxidation number of -1, and there are two fluorine atoms. Since OF2 is an exception to the rule that oxygen always has an oxidation state of -2, oxygen will have an oxidation number different from -2. We solve for the oxidation number of O: \((\mathrm{oxidation\, number\, of\, O})+(2\cdot (-1))=0\) \(x-2=0\) \(x=2\) The oxidation number of O in OF2 is +2.

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