The specific rate constant of a first order reaction depends on the

Options

A. Concentration of the reactant
B. Concentration of the Product
C. Time
D. Temperature

Answer

To solve the question regarding the specific rate constant of a first-order reaction, we can follow these steps:

### Step 1: Understand the concept of specific rate constant (k)
The specific rate constant (k) is a proportionality constant in the rate law of a chemical reaction. For a first-order reaction, the rate of reaction is directly proportional to the concentration of one reactant.

### Step 2: Identify the factors affecting the rate constant
The specific rate constant (k) is influenced by several factors, including:
- Temperature
- Activation energy
- The nature of the reactants

### Step 3: Analyze the relationship with temperature
For most reactions, the rate constant increases with an increase in temperature. This is described by the Arrhenius equation:
\[ k = A e^{-\frac{E_a}{RT}} \]
where:
- \( k \) = rate constant
- \( A \) = frequency factor
- \( E_a \) = activation energy
- \( R \) = universal gas constant
- \( T \) = temperature in Kelvin

### Step 4: Conclude the dependence of k
From the analysis, we can conclude that for a first-order reaction, the specific rate constant (k) primarily depends on temperature. It does not depend on the concentration of reactants or the order of the reaction itself.

### Final Answer
The specific rate constant of a first-order reaction depends on temperature.

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