In the balanced equation -
`[Zn+H^(+)+NO_(3)^(-)rarr NH_(4)^(+) +Zn^(+2)+H_(2)O]`
coefficient of `NH_(4)^(+)` is :-

Options

A. 4
B. 3
C. 2
D. 1

Answer

To find the coefficient of \( NH_4^+ \) in the balanced equation:

\[ Zn + H^+ + NO_3^- \rightarrow NH_4^+ + Zn^{2+} + H_2O \]

we need to balance the equation step by step.

### Step 1: Write down the unbalanced equation
The unbalanced equation is:
\[ Zn + H^+ + NO_3^- \rightarrow NH_4^+ + Zn^{2+} + H_2O \]

### Step 2: Balance the zinc (Zn) atoms
On the left side, there is 1 zinc atom from \( Zn \) and on the right side, there is also 1 zinc atom from \( Zn^{2+} \). Thus, zinc is balanced.

### Step 3: Balance the nitrogen (N) atoms
On the left side, there is 1 nitrogen atom from \( NO_3^- \) and on the right side, there is 1 nitrogen atom from \( NH_4^+ \). Thus, nitrogen is balanced.

### Step 4: Balance the hydrogen (H) atoms
On the left side, we have 1 \( H^+ \) ion, and on the right side, we have 4 \( H \) from \( NH_4^+ \) and 2 \( H \) from \( H_2O \) (totaling 6 H). To balance the hydrogen atoms, we need to adjust the number of \( H^+ \) ions on the left side.

To balance, we will multiply \( H^+ \) by 6:
\[ 6H^+ \]

### Step 5: Balance the oxygen (O) atoms
Now, we have 3 oxygen atoms from \( NO_3^- \) on the left side and 1 oxygen atom from \( H_2O \) on the right side. To balance the oxygen atoms, we will multiply \( H_2O \) by 3:
\[ 3H_2O \]

Now, we have:
- Left side: 3 oxygen from \( NO_3^- \)
- Right side: 3 oxygen from \( 3H_2O \)

### Step 6: Write the balanced equation
Now, the balanced equation is:
\[ Zn + 6H^+ + NO_3^- \rightarrow NH_4^+ + Zn^{2+} + 3H_2O \]

### Step 7: Identify the coefficient of \( NH_4^+ \)
In the balanced equation, the coefficient of \( NH_4^+ \) is 1.

### Final Answer
The coefficient of \( NH_4^+ \) is **1**.

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