The time for half change for a zero order reaction is...................

Options

A. proportional to the initial concentration
B. proportional to the square root of the initial concentration
C. independent of initial concentration
D. inversely proportional to the initial cone.

Explanation

To find the time for half change (half-life) for a zero-order reaction, we can use the formula for the half-life of a zero-order reaction. The half-life (t₁/₂) for a zero-order reaction is given by:

\[ t_{1/2} = \frac{[A]_0}{2k} \]

where:
- \([A]_0\) is the initial concentration of the reactant,
- \(k\) is the rate constant of the reaction.

### Step-by-Step Solution:

1. **Identify the Reaction Order**:
- The question specifies that we are dealing with a zero-order reaction.

2. **Recall the Half-Life Formula for Zero-Order Reactions**:
- The half-life formula for a zero-order reaction is:
\[ t_{1/2} = \frac{[A]_0}{2k} \]

3. **Substitute Values**:
- Since we are looking for a general expression, we will keep \([A]_0\) and \(k\) as variables. Thus, the half-life remains:
\[ t_{1/2} = \frac{[A]_0}{2k} \]

4. **Conclusion**:
- The time for half change for a zero-order reaction is directly proportional to the initial concentration of the reactant and inversely proportional to the rate constant.

### Final Answer:
The time for half change for a zero-order reaction is given by:
\[ t_{1/2} = \frac{[A]_0}{2k} \]