Assertion (A) : The rate of a chemical reaction whether exothermic or endothermic increases with temperature. Reason (R ): The rate reaction `=k["Reactant"]^(n)` and `k` increases with temperature.

Options

A. If both `(A)` and `(R )` are correct, and `(R )` is the correct explnation of `(A)`.
B. If both `(A)` and `(R )` are correct, but `(R )` is noth the correct explanation of `(A)`.
C. If `(A)` is correct, but `(R )` is incorrect.
D. If `(A)` is incorrect, but `(R )` is correct.

Answer

To solve the given question, we will analyze both the assertion and the reason step by step.

### Step 1: Understand the Assertion
The assertion states that "The rate of a chemical reaction, whether exothermic or endothermic, increases with temperature."

**Explanation**:
- In general, the rate of chemical reactions is influenced by temperature. According to the collision theory, as temperature increases, the kinetic energy of the molecules increases, leading to more frequent and energetic collisions. This results in an increased reaction rate.

### Step 2: Understand the Reason
The reason provided is "The rate reaction = k [Reactant]^n and k increases with temperature."

**Explanation**:
- The rate of a reaction can be expressed as:
\[ \text{Rate} = k[\text{Reactant}]^n \]
where \( k \) is the rate constant, [Reactant] is the concentration of the reactant, and \( n \) is the order of the reaction.
- According to the Arrhenius equation, the rate constant \( k \) is given by:
\[ k = A e^{-\frac{E_a}{RT}} \]
where \( A \) is the pre-exponential factor, \( E_a \) is the activation energy, \( R \) is the universal gas constant, and \( T \) is the temperature in Kelvin.
- As temperature \( T \) increases, the exponential term \( e^{-\frac{E_a}{RT}} \) increases, leading to an increase in \( k \).

### Step 3: Conclusion
Since both the assertion and the reason are correct, and the reason explains why the assertion is true, we conclude that:

- **Assertion (A)** is correct.
- **Reason (R)** is correct.
- The reason (R) is the correct explanation for the assertion (A).

### Final Answer
Both assertion and reason are correct, and the reason is the correct explanation of the assertion.