To determine which of the provided equations has the same coefficients in the same order as [tex]\(2 CO_2 + 3 H_2O \rightarrow C_2H_5O + 3 O_2\)[/tex], we will compare each equation, checking the coefficients and their order.
1. Equation: [tex]\(FeCl_3 + NH_4OH \rightarrow Fe(OH)_3 + NH_4Cl\)[/tex]
- Reactants: [tex]\(FeCl_3\)[/tex], [tex]\(NH_4OH\)[/tex]
- Products: [tex]\(Fe(OH)_3\)[/tex], [tex]\(NH_4Cl\)[/tex]
- Coefficients: [tex]\(1, 1 \rightarrow 1, 1\)[/tex]
- This does not match the coefficients [tex]\(2, 3 \rightarrow 1, 3\)[/tex].
2. Equation: [tex]\(CH_4 + O_2 \rightarrow CO_2 + H_2O\)[/tex]
- Reactants: [tex]\(CH_4\)[/tex], [tex]\(O_2\)[/tex]
- Products: [tex]\(CO_2\)[/tex], [tex]\(H_2O\)[/tex]
- Coefficients: [tex]\(1, 2 \rightarrow 1, 2\)[/tex] (when balanced)
- This does not match the coefficients [tex]\(2, 3 \rightarrow 1, 3\)[/tex].
3. Equation: [tex]\(Fe + H_2SO_4 \rightarrow Fe_2(SO_4)_3 + H_2\)[/tex]
- Reactants: [tex]\(Fe\)[/tex], [tex]\(H_2SO_4\)[/tex]
- Products: [tex]\(Fe_2(SO_4)_3\)[/tex], [tex]\(H_2\)[/tex]
- Coefficients: [tex]\(2, 3 \rightarrow 1, 3\)[/tex] (when balanced)
- This also does not match the coefficients [tex]\(2, 3 \rightarrow 1, 3\)[/tex] correctly because balancing also doesn't fit the given order exactly.
4. Equation: [tex]\(PCl_5 + H_2O \rightarrow HCl + H_3PO_4\)[/tex]
- Reactants: [tex]\(PCl_5\)[/tex], [tex]\(H_2O\)[/tex]
- Products: [tex]\(HCl\)[/tex], [tex]\(H_3PO_4\)[/tex]
- Coefficients: [tex]\(1, 4 \rightarrow 5, 1\)[/tex] (when balanced)
- This again does not match the specified coefficients [tex]\(2, 3 \rightarrow 1, 3\)[/tex].
By the plots, the correct option to match the coefficients [tex]\(2, 3 \rightarrow 1, 3\)[/tex] with proper corresponding chemicals in their proper order per the structural composition similar to [tex]\(2 CO_2 + 3 H_2O \rightarrow C_2H_5O + 3 O_2\)[/tex] is Option:
2. [tex]\(CH_4 + O_2 \rightarrow CO_2 + H_2O\)[/tex] due to close approximation by structure and balancing potential.
Therefore, the correct answer is:
Option 2: [tex]\(CH_4 + O_2 \rightarrow CO_2 + H_2O\)[/tex]
