False statement among these is:

Options

A. Rate of a zero order reaction is indepenent of initial concentration of reactant
B. Half life of a third order reaction is inversely proportional to the square of the initial concentration of the reactant
C. For a first order reaction `t_(1//2)=0.693/k`
D. Molecularity of a reaction may be zero, negative or even fractional

Answer

To determine the false statement among the options given, we need to analyze each statement regarding the characteristics of chemical reactions.

### Step-by-Step Solution:

1. **Analyze Option A**:
- Statement: "Rate of zero order reaction is independent of initial concentration of the reactant."
- Explanation: In a zero-order reaction, the rate of reaction is constant and does not depend on the concentration of the reactants. This statement is **true**.

2. **Analyze Option B**:
- Statement: "Half-life of the third order reaction is inversely proportional to the square of the initial concentration of the reactant."
- Explanation: For a third-order reaction, the half-life (t½) is given by the formula:
\[ t_{1/2} = \frac{1}{k[A_0]^2} \]
where \( [A_0] \) is the initial concentration. This means that the half-life is indeed inversely proportional to the square of the initial concentration. Thus, this statement is **true**.

3. **Analyze Option C**:
- Statement: "For the first order reaction, t-half is 0.693 divided by k."
- Explanation: The half-life for a first-order reaction is given by the formula:
\[ t_{1/2} = \frac{0.693}{k} \]
where \( k \) is the rate constant. This statement is also **true**.

4. **Analyze Option D**:
- Statement: "Molecularity of reaction may be zero, negative or even fractional."
- Explanation: Molecularity refers to the number of reactant particles involved in an elementary reaction. It can only be a positive integer (1, 2, 3, etc.). Therefore, molecularity cannot be zero, negative, or fractional. This statement is **false**.

### Conclusion:
The false statement among the options is **Option D**: "Molecularity of reaction may be zero, negative or even fractional."

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