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How To Calculate Pressure Exerted By Gas

Ideal Gas Law:

\[ P = \frac{n R T}{V} \]

mol
J/mol·K
K

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1. What is the Ideal Gas Law?

The Ideal Gas Law is a fundamental equation in thermodynamics that describes the relationship between pressure, volume, temperature, and the amount of gas. It provides a good approximation of the behavior of many gases under various conditions.

2. How Does the Calculator Work?

The calculator uses the Ideal Gas Law equation:

\[ P = \frac{n R T}{V} \]

Where:

Explanation: The equation states that the pressure of an ideal gas is directly proportional to the amount of gas and its temperature, and inversely proportional to its volume.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for various applications including chemical engineering, HVAC systems, scuba diving, medical equipment, and many industrial processes involving gases.

4. Using the Calculator

Tips: Enter all values in the appropriate units. Temperature must be in Kelvin (K = °C + 273.15). The gas constant is pre-set to 8.314 J/mol·K but can be adjusted if needed for different units.

5. Frequently Asked Questions (FAQ)

Q1: What is an ideal gas?
A: An ideal gas is a theoretical gas that follows the ideal gas law exactly, with particles that have no volume and no intermolecular forces.

Q2: When does the ideal gas law not apply?
A: The law becomes less accurate at high pressures, low temperatures, or for gases with strong intermolecular forces.

Q3: What are common values for the gas constant R?
A: Common values include 8.314 J/mol·K, 0.0821 L·atm/mol·K, and 62.3637 L·torr/mol·K, depending on the units used.

Q4: How do I convert temperature to Kelvin?
A: Kelvin = Celsius + 273.15. For Fahrenheit, first convert to Celsius then add 273.15.

Q5: What are typical pressure values in different applications?
A: Atmospheric pressure is about 101,325 Pa, car tires are typically 200-300 kPa, and scuba tanks can be 20-30 MPa.

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