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Chemistry · Ch 8 — Physical and Chemical Equilibrium

Effect of concentration

8.8.1

Effect of concentration

At equilibrium, the concentrations of reactants and products stay fixed. Adding more of a reactant or a product from outside disturbs this balance by raising that species' concentration -- and, according to Le Chatelier's principle, the system responds by shifting the equilibrium in the direction that consumes the added substance.

Consider H2(g)+I2(g)⇌2HI(g)H_2(g)+I_2(g)\rightleftharpoons 2HI(g). Adding extra H2H_2 or I2I_2 disturbs the equilibrium; to minimise the stress, the system shifts the reaction in the direction that consumes the added H2H_2 and I2I_2 -- that is, more HI forms, and the equilibrium shifts to the right (forward direction), continuing until equilibrium is re-established. Removing HI (a product) likewise favours the forward reaction, for the same reason. Conversely, adding HI to the mixture raises [HI][HI], and the system responds by shifting in the reverse direction to consume the excess HI.

Worked example. At equilibrium, [HI]=1[HI]=1, [H2]=0.2[H_2]=0.2, [I2]=0.1[I_2]=0.1 M, so KC=12(0.2)(0.1)=50K_C = \dfrac{1^2}{(0.2)(0.1)} = 50. The equilibrium is disturbed by adding 0.1 M iodine, so immediately after the addition [I2]=0.2[I_2]=0.2 M while [H2][H_2] and [HI][HI] are momentarily unchanged. The system then shifts by some amount x: [H2][H_2] and [I2][I_2] both fall by x (to 0.2−x0.2-x), and [HI][HI] rises by 2x (to 1+2x1+2x). The observed new [HI]=1.092[HI] = 1.092 M gives 2x=0.0922x = 0.092, so x=0.046x = 0.046 M, and therefore [H2]=[I2]=0.2−0.046=0.154[H_2]=[I_2]=0.2-0.046=0.154 M. Checking the reaction quotient at this new state, Q=(1.092)2(0.154)2≈50Q = \dfrac{(1.092)^2}{(0.154)^2} \approx 50, which equals KCK_C -- confirming the system has re-established equilibrium, with the added iodine driving the formation of additional HI (Fig. 8.5). …

Misc 8.8.1-worked-add-iodineWorked example: adding iodine to the H2 + I2 ⇌ 2HI equilibrium

Worked out. At equilibrium [HI]=1[HI]=1, [H2]=0.2[H_2]=0.2, [I2]=0.1[I_2]=0.1 M, giving KC=12(0.2)(0.1)=50K_C = \dfrac{1^2}{(0.2)(0.1)} = 50. Disturbing by adding 0.1 M I2 (so [I2][I_2] jumps to 0.2 M immediately), the system responds: let x mol/L of H2 and I2 react further to form 2x mol/L more HI, giving new concentrations [H2]=0.2−x[H_2]=0.2-x, [I2]=0.2−x[I_2]=0.2-x, [HI]=1+2x[HI]=1+2x. Observed new [HI]=1.092[HI]=1.092 M gives 2x=0.0922x=0.092, x=0.046x=0.046, so [H2]=[I2]=0.154[H_2]=[I_2]=0.154 M. Checking Q=(1.092)2(0.154)2≈50=KCQ = \dfrac{(1.092)^2}{(0.154)^2} \approx 50 = K_C confirms equilibrium has been re-established, with the added iodine ending up partly converted int …

Figure 8.5Effect of addition of iodine on formation of HI

What this figure shows. A concentration-vs-time plot. H2 and I2 start at their equilibrium values (0.2 M) and HI at 1.0 M, all flat (Q = K, at equilibrium). At the marked 'Disturbance' point, I2 is stepped up to 0.2 M (a jump), then H2 and I2 both curve downward together while HI curves upward, all three levelling off again at a new steady value once Q returns to equal K a s …

Misc 8.8.1-industrial-noteIndustrial note: driving equilibria to completion by removing a product

Worked out. In large-scale production of CaO from CaCO3, constant removal of CO2 gas from the kiln drives the decomposition equilibrium to completion. Similarly, in Haber's process for NH3, the ammonia formed is continuously liquefied and removed, keeping the reaction moving in the forward direction. …