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indicate the oxidation state for each of the following:phosphorus in $\…

Question

indicate the oxidation state for each of the following:phosphorus in $\ce{p4o10}$sulfur in $\ce{h2so4}$nitrogen in $\ce{no2^-}$question 8in the reaction: $\ce{pbs + 3o2 -> 2so2 + 2pbo}$which element is oxidized?which element is reduced?which substance is the oxidizing agent?which substance is the reducing agent?

Explanation:

Part 1: Oxidation state of phosphorus in \(P_4O_{10}\)

  • Step1: Set up the equation

Let the oxidation state of \(P\) be \(x\). In \(P_4O_{10}\), the oxidation state of \(O\) is \(- 2\). Using the rule that the sum of oxidation states in a neutral compound is \(0\), we have \(4x+10\times(-2)=0\).

  • Step2: Solve for \(x\)
$$ LATEXBLOCK0 $$

Part 2: Oxidation state of sulfur in \(H_2SO_4\)

  • Step1: Set up the equation

Let the oxidation state of \(S\) be \(y\). In \(H_2SO_4\), the oxidation state of \(H\) is \(+1\) and of \(O\) is \(-2\). Using the rule that the sum of oxidation states in a neutral compound is \(0\), we have \(2\times(+1)+y + 4\times(-2)=0\).

  • Step2: Solve for \(y\)
$$ LATEXBLOCK1 $$

Part 3: Oxidation state of nitrogen in \(NO_2^-\)

  • Step1: Set up the equation

Let the oxidation state of \(N\) be \(z\). In \(NO_2^-\), the oxidation state of \(O\) is \(-2\). Using the rule that the sum of oxidation states in an ion is equal to the charge of the ion, we have \(z+2\times(-2)=-1\).

  • Step2: Solve for \(z\)
$$ LATEXBLOCK2 $$

Question 8:

Oxidized element
  • Step1: Analyze oxidation states

In \(PbS\), \(S\) has an oxidation state of \(-2\). In \(SO_2\), \(S\) has an oxidation state of \(+4\). Since the oxidation state of \(S\) increases (from \(-2\) to \(+4\)), \(S\) is oxidized.

Reduced element
  • Step1: Analyze oxidation states

In \(O_2\), \(O\) has an oxidation state of \(0\). In \(SO_2\) and \(PbO\), \(O\) has an oxidation state of \(-2\). Since the oxidation state of \(O\) decreases (from \(0\) to \(-2\)), \(O\) is reduced.

Oxidizing agent
  • Step1: Define oxidizing agent

The oxidizing agent is the substance that causes oxidation (gets reduced). Since \(O_2\) gets reduced (as shown above), \(O_2\) is the oxidizing agent.

Reducing agent
  • Step1: Define reducing agent

The reducing agent is the substance that causes reduction (gets oxidized). Since \(PbS\) gets oxidized (as \(S\) in \(PbS\) is oxidized), \(PbS\) is the reducing agent.

Answer:

  • Phosphorus in \(P_4O_{10}\): \(+5\)
  • Sulfur in \(H_2SO_4\): \(+6\)
  • Nitrogen in \(NO_2^-\): \(+3\)
  • Oxidized element: \(S\)
  • Reduced element: \(O\)
  • Oxidizing agent: \(O_2\)
  • Reducing agent: \(PbS\)