In a chemical equilibrium Kc = Kp when :a)the number of molecules ente...
Explanation:
In a chemical equilibrium, the equilibrium constant (Kc or Kp) is a measure of the extent to which a reaction proceeds towards the products. It is defined as the ratio of the concentrations (or partial pressures) of the products to the concentrations (or partial pressures) of the reactants, each raised to the power of their respective stoichiometric coefficients.
The equilibrium constant is determined by the balanced chemical equation of the reaction and does not depend on the initial concentrations or pressures of the reactants and products.
Conditions for Kc = Kp:
In order for Kc to be equal to Kp, the following conditions must be met:
a) The reaction is a gas-phase reaction:
- Kc is defined in terms of concentrations, while Kp is defined in terms of partial pressures.
- For reactions involving gases, Kc and Kp are related by the ideal gas law, which states that the ratio of the partial pressure of a gas to its molar concentration is equal to the ideal gas constant, R, times the temperature, T.
b) The reaction does not involve any changes in the number of moles of gas:
- Kp is determined by the stoichiometric coefficients of the balanced chemical equation.
- If the number of moles of gas on the reactant side is equal to the number of moles of gas on the product side, then Kp will be equal to Kc.
c) The number of molecules entering into the reaction is the same as the number of molecules produced:
- In a balanced chemical equation, the stoichiometric coefficients represent the ratio of the number of molecules of each species involved in the reaction.
- If the number of molecules entering into the reaction is the same as the number of molecules produced, then the ratios of their concentrations (or partial pressures) will be equal, resulting in Kc = Kp.
Therefore, the correct answer is option 'C' - the number of molecules entering into the reaction is the same as the number of molecules produced.
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