Which is not the graphical representation for the zeroth order reaction ?

Options

A.
B.
C.
D.

Explanation

To determine which graphical representation is not appropriate for a zero-order reaction, we need to understand the characteristics of zero-order kinetics.

### Step-by-step Solution:

1. **Understanding Zero-order Reactions**:
- In a zero-order reaction, the rate of reaction (R) is constant and does not depend on the concentration of the reactants. This can be expressed mathematically as:
\[ R = k \]
where \( k \) is the rate constant.

2. **Graphical Representations**:
- **Rate vs. Concentration**: Since the rate is constant and does not depend on concentration, plotting the rate (dx/dt) against concentration will yield a horizontal line (a straight line parallel to the x-axis).
- **Rate vs. Time**: The rate remains constant over time, so this plot will also be a horizontal line.
- **Concentration vs. Time**: For a zero-order reaction, the concentration of the reactant decreases linearly over time. This will yield a straight line with a negative slope.
- **Log(Concentration) vs. Time**: This plot will not yield a straight line for a zero-order reaction. Instead, it will be a curve since the logarithm of a linear function does not produce a linear graph.

3. **Identifying the Incorrect Representation**:
- Based on the analysis:
- **Option 1**: Rate vs. Concentration - Correct representation (horizontal line).
- **Option 2**: Rate vs. Time - Correct representation (horizontal line).
- **Option 3**: Rate vs. Time - Incorrect representation (this is the same as option 1).
- **Option 4**: Log(Concentration) vs. Time - Incorrect representation (not a straight line).

4. **Conclusion**:
- The graphical representation that is not appropriate for a zero-order reaction is the one that plots Log(Concentration) vs. Time. Therefore, the answer is **Option 3**.