In Arrhenius plot, intercept is equal to

Options

A. `-E_(a)//R`
B. In A
C. In k
D. `"log"_(10)A`

Explanation

To solve the question regarding the intercept in an Arrhenius plot, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Arrhenius Equation**:
The Arrhenius equation is given by:
\[ k = A e^{-\frac{E_a}{RT}} \]
where:
- \( k \) = rate constant
- \( A \) = pre-exponential factor (frequency factor)
- \( E_a \) = activation energy
- \( R \) = universal gas constant
- \( T \) = temperature (in Kelvin)

2. **Take the Natural Logarithm**:
To linearize the Arrhenius equation, we take the natural logarithm of both sides:
\[ \ln k = \ln A - \frac{E_a}{RT} \]

3. **Rearrange the Equation**:
The equation can be rearranged to fit the linear form \( y = mx + c \):
\[ \ln k = -\frac{E_a}{R} \cdot \frac{1}{T} + \ln A \]
Here, we identify:
- \( y = \ln k \)
- \( m = -\frac{E_a}{R} \) (slope)
- \( c = \ln A \) (intercept)

4. **Identify the Intercept**:
From the rearranged equation, we can see that the intercept (where \( x = 0 \)) is:
\[ \text{Intercept} = \ln A \]

5. **Conclusion**:
Therefore, in an Arrhenius plot, the intercept is equal to \( \ln A \).

### Final Answer:
The intercept in an Arrhenius plot is equal to \( \ln A \).