Question

The Arrhenius equation relates the rate constant of a reaction to:

• A. Pressure and temperature
• B. Concentration and temperature
• C. Temperature and activation energy
• D. Conversion and equilibrium constant

Hint:

Logic Tip: The Arrhenius equation answers the question: "How much faster will this reaction go if I heat it up ($T$), and how big is the energy hill the molecules have to climb to react ($E_a$)?"

Answer 1

The Correct Option is C

Concept:
The Arrhenius equation is a fundamental formula in chemical kinetics that mathematically describes how the speed of a chemical reaction changes with varying temperature and energy barriers.

Step 1: The Arrhenius equation is written as: $k = A \cdot e^{\frac{-E_a}{RT}}$.

Step 2: In this equation, '$k$' is the reaction rate constant, which dictates how fast the reaction proceeds.

Step 3: The two primary physical parameters on the right side of the equation that dictate the value of '$k$' are '$T$' (Absolute Temperature) and '$E_a$' (Activation Energy). ('$A$' is the pre-exponential frequency factor, and '$R$' is the universal gas constant).

Step 4: The equation shows that the rate constant ($k$) increases exponentially as Temperature ($T$) increases, and it decreases exponentially if the Activation Energy barrier ($E_a$) is larger.

Step 5: Therefore, the equation specifically links the rate constant to the reaction's temperature and its activation energy.