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How To Calculate Total Pressure From Partial Pressure

Total Pressure Formula:

\[ P_{total} = \sum P_i \]

Pa
Enter partial pressure values separated by commas (e.g., 101.3, 50.6, 25.3)

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1. What is Total Pressure?

Total pressure is the sum of all partial pressures in a gas mixture, according to Dalton's Law of Partial Pressures. It represents the overall pressure exerted by a mixture of gases.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{total} = \sum P_i \]

Where:

Explanation: Dalton's Law states that in a mixture of non-reacting gases, the total pressure exerted is equal to the sum of the partial pressures of the individual gases.

3. Importance of Total Pressure Calculation

Details: Calculating total pressure is essential in various fields including chemistry, physics, engineering, and environmental science. It helps in understanding gas behavior, designing pressure systems, and analyzing atmospheric conditions.

4. Using the Calculator

Tips: Enter partial pressure values in Pascals (Pa), separated by commas. All values must be valid (non-negative numbers). The calculator will sum all the provided partial pressures to give the total pressure.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for partial pressures?
A: The calculator uses Pascals (Pa), but you can use any pressure unit as long as all values are in the same unit. The result will be in the same unit.

Q2: Does Dalton's Law apply to all gas mixtures?
A: Dalton's Law applies to mixtures of ideal gases that don't react with each other. For real gases or reactive mixtures, deviations may occur.

Q3: How is partial pressure related to mole fraction?
A: Partial pressure of a gas equals the mole fraction of that gas multiplied by the total pressure of the mixture (P_i = x_i × P_total).

Q4: Can I calculate partial pressures if I know the total pressure?
A: Yes, if you know the total pressure and the mole fractions of the gases, you can calculate each partial pressure using P_i = x_i × P_total.

Q5: What are some practical applications of Dalton's Law?
A: Applications include scuba diving (calculating partial pressures of breathing gases), industrial gas mixtures, atmospheric science, and chemical engineering processes.

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