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Kp

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Chemical Process Balances

Definition

The term 'kp' refers to the equilibrium constant for a reaction when expressed in terms of partial pressures of gases. It is a dimensionless number that quantifies the ratio of the product pressures raised to their stoichiometric coefficients to the reactant pressures raised to their coefficients at equilibrium. Understanding kp is crucial for predicting the behavior of gas-phase reactions and how changes in conditions can shift equilibria.

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5 Must Know Facts For Your Next Test

  1. The value of kp changes with temperature; as temperature increases, the equilibrium constant will either increase or decrease depending on whether the reaction is endothermic or exothermic.
  2. For reactions involving gases, kp can be related to Kc through the ideal gas law: $$k_p = k_c (RT)^{\Delta n}$$, where \(\Delta n\) is the change in moles of gas.
  3. The units of kp depend on the specific reaction and can be expressed as atm^n, where n is the difference between the total number of moles of gaseous products and reactants.
  4. When comparing kp and Kc, it's important to note that they are equivalent for reactions involving only gases, but they can differ for reactions with solids or liquids since their activities are considered constant.
  5. If a reaction shifts to favor products (right side), kp will increase; if it shifts toward reactants (left side), kp will decrease.

Review Questions

  • How does the value of kp change with temperature and what implications does this have for gas-phase reactions?
    • The value of kp is directly affected by temperature changes due to its dependency on reaction enthalpy. For endothermic reactions, increasing temperature raises kp because more products are formed, while for exothermic reactions, increasing temperature lowers kp as it favors reactants. This relationship is essential for predicting how gas-phase reactions will behave under varying thermal conditions.
  • Compare and contrast kp and Kc, highlighting when one would be preferred over the other in chemical calculations.
    • Kp and Kc both represent equilibrium constants but differ based on their definitions: Kp is based on partial pressures while Kc relies on concentrations. Kp is preferred when dealing with gas-phase reactions where pressure is easily measured, especially under non-ideal conditions. Conversely, Kc is used when concentrations are known or more convenient for liquid-phase or solid reactions where pressure isn't applicable.
  • Evaluate how Le Chatelier's Principle applies to changes in pressure and its effects on kp for gaseous equilibria.
    • Le Chatelier's Principle states that if an external change is imposed on a system at equilibrium, the system adjusts to minimize that change. In terms of pressure changes for gaseous reactions, if pressure increases (e.g., through volume reduction), the equilibrium shifts towards the side with fewer moles of gas. This shift alters the partial pressures of reactants and products, thereby affecting kp. Understanding this interaction helps predict how equilibria respond to manipulations in industrial processes.
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