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Question 442 of 513

Which of the following statements correctly describes the effect of temperature on the rate of a chemical reaction according to the Arrhenius equation?

  • Increasing temperature decreases the activation energy required for the reaction.
  • Increasing temperature increases the frequency of collisions between reactant molecules.
  • Increasing temperature has no effect on the rate of the reaction.
  • Increasing temperature shifts the equilibrium position towards the reactants.

Correct Answer: B

Explanation
**Correct Option: B. Increasing temperature increases the frequency of collisions between reactant molecules.** ### Detailed Explanation: The Arrhenius equation is a fundamental equation in chemical kinetics that describes how the rate of a chemical reaction depends on temperature and activation energy. The equation is given by: \[ k = A e^{-\frac{E_a}{RT}} \] Where: - \( k \) = rate constant of the reaction - \( A \) = pre-exponential factor (frequency factor) - \( E_a \) = activation energy (the minimum energy required for a reaction to occur) - \( R \) = universal gas constant (8.314 J/(molยทK)) - \( T \) = absolute temperature in Kelvin #### Why Option B is Correct: 1. **Increased Molecular Motion**: As temperature increases, the kinetic energy of the molecules also increases. This means that the molecules move faster and collide more frequently. The rate of a reaction is directly related to the frequency of collisions between reactant molecules. 2. **Collision Theory**: According to collision theory, for a reaction to occur, reactant molecules must collide with sufficient energy and proper orientation. Higher temperatures lead to more energetic collisions, which increases the likelihood of successful reactions. 3. **Rate Constant Increase**: The Arrhenius equation shows that as temperature increases, the exponential term \( e^{-\frac{E_a}{RT}} \) increases, leading to a higher rate constant \( k \). This means that the reaction rate increases with temperature. ### Why the Other Options are Incorrect: **A. Increasing temperature decreases the activation energy required for the reaction.** - **Explanation**: This statement is incorrect because activation energy (\( E_a \)) is a characteristic of the reaction itself and does not change with temperature. While higher temperatures can provide more energy to overcome the activation energy barrier, they do not lower the activation energy itself. **C. Increasing temperature has no effect on the rate of the reaction.** - **Explanation**: This statement is false. Numerous studies and practical observations show that increasing temperature generally increases the rate of chemical reactions. The kinetic molecular theory supports this, as it explains that higher temperatures lead to more frequent and energetic collisions. **D. Increasing temperature shifts the equilibrium position towards the reactants.** - **Explanation**: This statement is misleading and only true under specific conditions. According to Le Chatelier's principle, if a reaction is exothermic (releases heat), increasing the temperature will shift the equilibrium position towards the reactants. However, for endothermic reactions (which absorb heat), increasing temperature shifts the equilibrium towards the products. Therefore, this statement cannot be generalized and is not applicable to all reactions. ### Summary of Key Points: - **Temperature Increase**: Higher temperatures increase molecular motion, leading to more frequent collisions. - **Arrhenius Equation**: The rate constant increases with temperature due to the exponential factor in the Arrhenius equation. - **Activation Energy**: Activation energy is a fixed value for a given reaction and does not change with temperature. - **Equilibrium Considerations**: The effect of temperature on equilibrium depends on whether the reaction is exothermic or endothermic. This understanding of the relationship between temperature and reaction rates is crucial for predicting how reactions will behave under different conditions, which is a key concept in chemistry.
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