Understanding Reaction Quotients and Temperature Effects on Chemical Equilibrium

Expert reviewed 22 November 2024 4 minute read


Introduction

Chemical equilibrium is a dynamic state where forward and reverse reactions occur at equal rates. Understanding how systems approach equilibrium and respond to temperature changes is crucial for predicting and controlling chemical reactions.

The Reaction Quotient (Q)

The reaction quotient (Q) helps determine whether a chemical system will proceed toward products or reactants to reach equilibrium. For a general reaction:

aA+bBcC+dDaA + bB \rightleftharpoons cC + dD

The reaction quotient is expressed as:

Q=[C]c[D]d[A]a[B]bQ = \frac{[C]^c[D]^d}{[A]^a[B]^b}

Comparing Q and Keq

  • When Q < Keq: The reaction proceeds forward to form more products
  • When Q > Keq: The reaction proceeds in reverse to form more reactants
  • When Q = Keq: The system is at equilibrium

Temperature Effects on Equilibrium

Endothermic Reactions (ΔH > 0)

For an endothermic reaction:

A(g)+B(g)AB(g)ΔH>0A(g) + B(g) \rightleftharpoons AB(g) \quad \Delta H > 0

The equilibrium constant is:

Keq=[AB][A][B]K_{eq} = \frac{[AB]}{[A][B]}

When temperature increases:

  • The forward reaction is favored
  • More products form
  • Keq increases

Consider the equilibrium shifts:

SpeciesInitialChangeEquilibrium
A(g)[A]-x[A] - x
B(g)[B]-x[B] - x
AB(g)[AB]+x[AB] + x

Exothermic Reactions (ΔH < 0)

For an exothermic reaction:

A(g)+B(g)AB(g)ΔH<0A(g) + B(g) \rightleftharpoons AB(g) \quad \Delta H < 0

When temperature increases:

  • The reverse reaction is favored
  • More reactants form
  • Keq decreases

Key Points to Remember

  • Temperature is the only factor that changes the value of Keq
  • For endothermic reactions, increasing temperature increases Keq
  • For exothermic reactions, increasing temperature decreases Keq
  • The reaction quotient Q helps predict the direction of reaction progress

Return to Module 5: Equilibrium and Acid Reactions