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Partial Pressure Calculator Formula

Partial Pressure Formula:

\[ P_i = X_i \times P_{total} \]

(unitless)
Pa

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1. What is Partial Pressure?

Partial pressure is the pressure that a gas in a mixture would exert if it alone occupied the entire volume. It's a fundamental concept in gas laws and thermodynamics.

2. How Does the Calculator Work?

The calculator uses Dalton's Law of Partial Pressures:

\[ P_i = X_i \times P_{total} \]

Where:

Explanation: The partial pressure of a gas is directly proportional to its mole fraction in the gas mixture.

3. Importance of Partial Pressure

Details: Partial pressure is crucial in respiratory physiology, gas exchange calculations, chemical equilibrium, and industrial gas processes.

4. Using the Calculator

Tips: Enter mole fraction (between 0 and 1) and total pressure in pascals. Both values must be valid (mole fraction 0-1, total pressure > 0).

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for pressure?
A: The calculator uses pascals (Pa), but you can convert from other units like atm or mmHg before entering values.

Q2: How is mole fraction calculated?
A: Mole fraction is the moles of a component divided by the total moles of all components in the mixture.

Q3: Does this apply to ideal gases only?
A: The formula is exact for ideal gases and a good approximation for real gases at moderate pressures and temperatures.

Q4: What's the relationship with vapor pressure?
A: For a pure substance, vapor pressure is essentially its partial pressure when in equilibrium with its liquid phase.

Q5: How does temperature affect partial pressure?
A: Temperature affects the total pressure, but the partial pressure remains proportional to the mole fraction at any given temperature.

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