For the synthesis of ammonia by the reaction `N_(2)+3H_(2)hArr2NH_(3)` in the Haber's process ,the attainment of equilibrium is correctly predicated bt the curve

Options

A.
B.
C.
D.

Answer

To solve the question regarding the synthesis of ammonia in the Haber process, we need to analyze the reaction and the equilibrium state it reaches. The reaction can be represented as:

\[ N_2 + 3H_2 \rightleftharpoons 2NH_3 \]

### Step-by-Step Solution:

1. **Understanding the Reaction**:
- The reaction involves nitrogen gas (\(N_2\)) reacting with hydrogen gas (\(H_2\)) to form ammonia (\(NH_3\)).
- The stoichiometry of the reaction shows that 1 mole of nitrogen reacts with 3 moles of hydrogen to produce 2 moles of ammonia.

2. **Initial Concentrations**:
- At the start of the reaction (time \(t = 0\)), we assume:
- Concentration of \(N_2\) = \(A\)
- Concentration of \(H_2\) = \(B\)
- Concentration of \(NH_3\) = 0 (no ammonia is formed initially).

3. **Change in Concentrations**:
- As the reaction progresses, \(N_2\) and \(H_2\) will decrease in concentration while \(NH_3\) will increase.
- Let the change in concentration of \(N_2\) be \(-x\), then:
- Change in \(H_2\) = \(-3x\) (since 3 moles of \(H_2\) are consumed for every mole of \(N_2\)).
- Change in \(NH_3\) = \(+2x\) (2 moles of \(NH_3\) are produced).

4. **Equilibrium Concentrations**:
- At equilibrium, the concentrations can be expressed as:
- Concentration of \(N_2\) = \(A - x\)
- Concentration of \(H_2\) = \(B - 3x\)
- Concentration of \(NH_3\) = \(2x\)

5. **Graphical Representation**:
- The graph should show:
- The concentration of \(NH_3\) starting from 0 and increasing to a maximum value (indicating formation).
- The concentrations of \(N_2\) and \(H_2\) should start from \(A\) and \(B\) respectively, and decrease over time until they reach a constant value at equilibrium.

6. **Identifying the Correct Graph**:
- The correct graph will show:
- \(NH_3\) starting from 0 and increasing, eventually leveling off at a certain concentration.
- Both \(N_2\) and \(H_2\) should decrease and also level off, indicating that they are being consumed to form \(NH_3\).
- Based on the analysis, the first graph (Graph A) matches this description, as it shows the correct trends for all species involved in the reaction.

### Conclusion:
The correct graph that represents the attainment of equilibrium in the synthesis of ammonia via the Haber process is Graph A.