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Exercises · 6.7

Q.Explain why pure liquids and solids can be ignored while writing the equilibrium constant expression?

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The concentration of a pure liquid or solid is constant at a given temperature (density ÷ molar mass), so it gets absorbed into the equilibrium constant KK, making it unnecessary to write in the expression.

The core idea: why "constant" matters

Equilibrium constant expressions are built from activities (effective concentrations), not raw amounts. For a pure solid or pure liquid, the activity is defined as 1 — not because it's absent, but because its concentration doesn't change as the reaction proceeds.

Think about it: if you have a lump of solid calcium carbonate in a flask, its "concentration" (moles per litre of the solid itself) is fixed by its density and molar mass. Adding more solid doesn't make it more concentrated — it just gives you a bigger lump. The same holds for a pure liquid like water in a dilute solution: its concentration stays roughly 55.5 M regardless of how much reaction happens.

Since the equilibrium constant KK is a ratio of activities, and the activity of a pure solid or liquid is always 1, that factor simply multiplies the numerator or denominator by 1 — so we drop it.

Step-by-step reasoning

  1. Define the equilibrium constant properly The thermodynamic equilibrium constant KK is defined using activities (aa), not molar concentrations. For a reaction

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

the expression is

K=aCc⋅aDdaAa⋅aBbK = \frac{a_C^c \cdot a_D^d}{a_A^a \cdot a_B^b}

  1. What is the activity of a pure substance?

    For an ideal gas, activity ≈ partial pressure. For a solute in dilute solution, activity ≈ molar concentration. But for a pure solid or pure liquid, the activity is taken as 1 (by convention, at standard state).

    Important

    The standard state of a pure solid or liquid is the substance itself at 1 bar pressure and the temperature of interest. Its activity is defined as exactly 1.

  2. Why is activity = 1 physically reasonable?

    The "concentration" of a pure solid is densitymolar mass\frac{\text{density}}{\text{molar mass}}, which is a fixed number at a given temperature. For example, solid iron has density 7.87 g/cm³ and molar mass 55.85 g/mol, giving a concentration of about 141 mol/L. This number doesn't change whether you have 1 g or 1 kg of iron — it's an intensive property. So the activity remains constant, and we set it to 1 for convenience.

  3. See it in action with a real reaction

    Consider the thermal decomposition of calcium carbonate:

CaCOX3(s)⇌CaO(s)+COX2(g)\ce{CaCO3(s) <=> CaO(s) + CO2(g)}

The full equilibrium expression would be:

K=aCaO⋅aCOX2aCaCOX3K = \frac{a_{\ce{CaO}} \cdot a_{\ce{CO2}}}{a_{\ce{CaCO3}}}

Since aCaO=1a_{\ce{CaO}} = 1 and aCaCOX3=1a_{\ce{CaCO3}} = 1, this simplifies to:

K=aCOX2≈PCOX2K = a_{\ce{CO2}} \approx P_{\ce{CO2}}

Watch out

A common mistake is to think K=[COX2]K = [\ce{CO2}] — but for gases, the equilibrium constant uses partial pressure, not molar concentration, unless KcK_c is specifically defined. Always check the context. …

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