Questions: Balance the chemical equation below using the smallest possible whole number stoichiometric coefficients. N2(g) + 3 H2(g) rightarrow 2 NH3(g)

Balance the chemical equation below using the smallest possible whole number stoichiometric coefficients. N2(g) + 3 H2(g) rightarrow 2 NH3(g)
Transcript text: Correct Balance the chemical equation below using the smallest possible whole number stoichiometric coefficients. \[ \mathrm{N}_{2}(g)+3 \mathrm{H}_{2}(g) \rightarrow 2 \mathrm{NH}_{3}(g) \] Next
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Solution

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Solution Steps

Step 1: Identify the Reactants and Products

The given chemical equation is: \[ \mathrm{N}_{2}(g) + 3 \mathrm{H}_{2}(g) \rightarrow 2 \mathrm{NH}_{3}(g) \] Here, the reactants are nitrogen gas (\(\mathrm{N}_{2}\)) and hydrogen gas (\(\mathrm{H}_{2}\)), and the product is ammonia (\(\mathrm{NH}_{3}\)).

Step 2: Count the Atoms of Each Element

  • Nitrogen (N):

    • Reactants: 2 atoms (from \(\mathrm{N}_{2}\))
    • Products: 2 atoms (from \(2 \times \mathrm{NH}_{3}\))

  • Hydrogen (H):

    • Reactants: 6 atoms (from \(3 \times \mathrm{H}_{2}\))
    • Products: 6 atoms (from \(2 \times \mathrm{NH}_{3}\))
Step 3: Verify the Balance of the Equation
  • Nitrogen (N): 2 atoms on both sides.
  • Hydrogen (H): 6 atoms on both sides.

The equation is balanced as the number of atoms for each element is equal on both sides of the equation.

Final Answer

The balanced chemical equation is: \[ \boxed{\mathrm{N}_{2}(g) + 3 \mathrm{H}_{2}(g) \rightarrow 2 \mathrm{NH}_{3}(g)} \]

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