To balance the chemical equation \(N_2 + H_2 \rightarrow NH_3\), we need to make sure the number of each type of atom is the same on both sides of the equation.
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Nitrogen (N): On the left, we have 2 nitrogen atoms from \(N_2\). On the right, each \(NH_3\) contains 1 nitrogen atom. Therefore, we need 2 \(NH_3\) to balance the nitrogen.
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Hydrogen (H): Each \(NH_3\) contains 3 hydrogen atoms. If we have 2 \(NH_3\), that gives us \(2 \times 3 = 6\) hydrogen atoms on the right side. To get 6 hydrogen atoms from \(H_2\) on the left, we need 3 \(H_2\) molecules because each \(H_2\) contains 2 hydrogen atoms.
This gives us:
- X (for \(N_2\)): 1
- Y (for \(H_2\)): 3
- Z (for \(NH_3\)): 2
Now matching these coefficients to Column A and Column B:
- X: 1 (which corresponds to \(b.1\))
- Y: 3 (which corresponds to \(a.2\))
- Z: 2 (which corresponds to \(c.3\))
Final answers:
- X → b.1
- Y → a.2
- Z → c.3