Pressure of Gas given Equilibrium Constant with respect to Pressure Calculator

Pressure Formula:

\[ P = K_p \times \frac{(1 - \alpha^2)}{\alpha^2} \]

Pressure (P): Pa

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1. What is Pressure of Gas given Equilibrium Constant?

Definition: This calculator determines the pressure of a gas using the equilibrium constant with respect to pressure (K_p) and the degree of dissociation.

Purpose: It helps chemists and chemical engineers understand gas behavior at equilibrium and predict system pressures.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = K_p \times \frac{(1 - \alpha^2)}{\alpha^2} \]

Where:

\( P \) — Pressure of the gas (Pascals)
\( K_p \) — Equilibrium constant for partial pressure (mol/m³)
\( \alpha \) — Degree of dissociation (unitless, between 0 and 1)

Explanation: The formula relates the equilibrium pressure to the dissociation characteristics of the gas.

3. Importance of Pressure Calculation

Details: Accurate pressure calculations are crucial for reactor design, safety assessments, and understanding chemical equilibria.

4. Using the Calculator

Tips: Enter the equilibrium constant (K_p) in mol/m³ and degree of dissociation (α) between 0 and 1. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the degree of dissociation?
A: It's the fraction of reactant molecules that dissociate into products at equilibrium.

Q2: What are typical K_p values?
A: K_p varies widely depending on the reaction and temperature, ranging from very small to very large values.

Q3: Why does the formula include (1-α²)/α²?
A: This term accounts for the relationship between dissociated and undissociated molecules at equilibrium.

Q4: What units should I use?
A: Use consistent SI units - mol/m³ for K_p and unitless for α.

Q5: Can I use this for any gas?
A: This formula applies specifically to gases that dissociate according to the equilibrium being studied.