A question about chemical equilibrium

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In discussions about writing chemical equilibrium formulas for reactions involving different phases, it is important to note that the activity of solids is typically assumed to equal 1. When writing the equilibrium expression, only the concentrations or partial pressures of gases and the concentrations of liquids are included, while solids and pure liquids are omitted from the expression. This means that in a reaction involving solids, such as carbon, the solid is not included in the equilibrium constant expression. Understanding these rules is crucial for accurately representing chemical equilibria across various phases.
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Hello we learned about the chemical equilibrium and how to write it's formula in the case of liquid and gaseous phase , what about a reaction involving different phases ? like this one : how do we write the formula for the chemical equilibrium ? do we just ignore the carbon ,is there any rules to write the chemical equilibrium that i forgot ?
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Activity of solids is assumed to equal 1.
 
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