Question:

Which of the following statements is true about the equilibrium constant and rate constant of a single-step chemical reaction?

Updated On: Apr 3, 2025
  • Equilibrium constant may increase or decrease, but rate constant always increases with temperature.
  • Both equilibrium constant and rate constant increase with temperature
  • Rate constant may increase or decrease, but equilibrium constant always increases with temperature.
  • Both equilibrium constant and rate constant decrease with temperature
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The Correct Option is A

Approach Solution - 1

  • The rate constant (k) is governed by the Arrhenius equation:
  • The equilibrium constant (K) depends on the reaction’s enthalpy change (\(\Delta H\)):
    Thus, the equilibrium constant can either increase or decrease depending on the reaction’s nature, but the rate constant always increases with temperature.
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Approach Solution -2

Correct Answer:

Option 1: Equilibrium constant may increase or decrease, but rate constant always increases with temperature.

Explanation:

Rate Constant (k):

The rate constant (k) is related to temperature by the Arrhenius equation: k = A * e(-Ea/RT).

As temperature (T) increases, the rate constant (k) always increases.

Equilibrium Constant (K):

The equilibrium constant (K) is related to the rate constants of the forward and reverse reactions: K = kf / kr.

The temperature dependence of K is given by the van 't Hoff equation: d(ln K)/dT = ΔH°/RT2.

  • If ΔH° > 0 (endothermic), K increases with temperature.
  • If ΔH° < 0 (exothermic), K decreases with temperature.

Therefore, the equilibrium constant can either increase or decrease, depending on the reaction.

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