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The Following Reaction Occurs at 413 K Calculate The Kp

Reviewed by Calculator Editorial Team

When a chemical reaction occurs at 413 K, calculating the equilibrium constant (KP) helps determine the reaction's favorability. This guide explains how to calculate KP using the ideal gas law and provides practical interpretation of results.

What is KP?

The equilibrium constant (KP) is a measure of the favorability of a chemical reaction at a given temperature. It relates the concentrations of products to reactants at equilibrium. KP is particularly useful for gas-phase reactions where partial pressures are used instead of concentrations.

For a general reaction:

aA + bB ⇌ cC + dD

The equilibrium constant KP is defined as:

KP = (PCc × PDd) / (PAa × PBb)

Where P represents the partial pressure of each gas.

How to Calculate KP

To calculate KP for a reaction at 413 K, follow these steps:

  1. Identify the balanced chemical equation for the reaction.
  2. Measure or determine the partial pressures of all gases at equilibrium.
  3. Apply the KP formula using the partial pressures.
  4. Interpret the KP value to determine reaction favorability.

Note: Temperature affects KP values. The calculation assumes ideal gas behavior and that the reaction has reached equilibrium.

Example Calculation

Consider the reaction:

2SO2 + O2 ⇌ 2SO3

At equilibrium, the partial pressures are:

  • PSO₂ = 0.20 atm
  • PO₂ = 0.15 atm
  • PSO₃ = 0.45 atm

Using the KP formula:

KP = (PSO₃2) / (PSO₂2 × PO₂)

KP = (0.452) / (0.202 × 0.15)

KP = (0.2025) / (0.006)

KP ≈ 33.75

This KP value indicates the reaction strongly favors the formation of SO₃.

Interpretation of Results

Interpreting KP values helps understand reaction favorability:

  • KP > 1: Reaction favors products (forward reaction).
  • KP = 1: Reaction is at equilibrium.
  • KP < 1: Reaction favors reactants (reverse reaction).

For the example calculation, KP ≈ 33.75 suggests the reaction strongly favors the formation of SO₃.

FAQ

What is the difference between KP and Kc?
KP uses partial pressures of gases, while Kc uses concentrations of all species. Both represent equilibrium constants but are used in different contexts.
How does temperature affect KP?
KP values are temperature-dependent. As temperature increases, KP typically increases for endothermic reactions and decreases for exothermic reactions.
Can KP be negative?
No, KP values are always positive because they represent ratios of positive pressures or concentrations.
What units are used for KP?
KP is dimensionless since it's a ratio of pressures or concentrations.
How accurate is this calculator?
The calculator provides accurate results based on the ideal gas law and equilibrium principles. For precise laboratory work, experimental verification is recommended.