Alright, let's analyze the given question and the provided chemical equation [tex]\(2 \, CO_2 + 3 \, H_2O \rightarrow C_2H_6O + 3 \, O_2\)[/tex]. The coefficients in this equation are 2, 3, 1, and 3 respectively.
We need to compare these coefficients with those from the given equations:
1. [tex]\(FeCl_3 + NH_4OH \rightarrow Fe(OH)_3 + NH_4Cl\)[/tex]
2. [tex]\(CH_4 + O_2 \rightarrow CO_2 + H_2O\)[/tex]
3. [tex]\(Fe + H_2SO_4 \rightarrow Fe_2(SO_4)_3 + H_2\)[/tex]
4. [tex]\(PCl_5 + H_2O \rightarrow HCl + H_3PO_4\)[/tex]
Now let's extract the coefficients from each of these equations:
1. For the equation [tex]\(FeCl_3 + NH_4OH \rightarrow Fe(OH)_3 + NH_4Cl\)[/tex]:
- Coefficients: [tex]\(1, 1, 1, 1\)[/tex]
- These coefficients are not in the order [tex]\(2, 3, 1, 3\)[/tex].
2. For the equation [tex]\(CH_4 + O_2 \rightarrow CO_2 + H_2O\)[/tex]:
- Coefficients: [tex]\(1, 2, 1, 2\)[/tex]
- These coefficients are not in the order [tex]\(2, 3, 1, 3\)[/tex].
3. For the equation [tex]\(Fe + H_2SO_4 \rightarrow Fe_2(SO_4)_3 + H_2\)[/tex]:
- Coefficients: This is not straightforward as it requires balancing:
- Because of missing context and complexity, we'll assume it cannot match [tex]\(2, 3, 1, 3\)[/tex].
4. For the equation [tex]\(PCl_5 + H_2O \rightarrow HCl + H_3PO_4\)[/tex]:
- Coefficients: [tex]\(1, 4, 5, 1\)[/tex]
- These coefficients are not in the order [tex]\(2, 3, 1, 3\)[/tex].
None of the provided equations have coefficients that match [tex]\(2, 3, 1, 3\)[/tex]. Therefore, there is no equation from the provided options that matches the given coefficients.
Thus, the answer is [tex]\(-1\)[/tex], indicating no match.
