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Pressure Of Gas Given Density By Ideal Gas Law Calculator

Ideal Gas Law Formula:

\[ P_{gas} = \frac{\rho_{gas} \cdot [R] \cdot T_{gas}}{M_{molar}} \]

kg/m³
K
kg/mol

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1. What is the Ideal Gas Law?

The Ideal Gas Law is a fundamental equation 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 a wide range of conditions.

2. How Does the Calculator Work?

The calculator uses the Ideal Gas Law formula:

\[ P_{gas} = \frac{\rho_{gas} \cdot [R] \cdot T_{gas}}{M_{molar}} \]

Where:

Explanation: This formula calculates gas pressure using density instead of volume, making it useful when density measurements are available.

3. Importance of Gas Pressure Calculation

Details: Accurate pressure calculation is crucial for various applications including chemical engineering, atmospheric studies, industrial processes, and scientific research involving gases.

4. Using the Calculator

Tips: Enter density in kg/m³, temperature in Kelvin, and molar mass in kg/mol. All values must be positive and non-zero for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the universal gas constant?
A: The universal gas constant (R) is a physical constant that appears in the ideal gas law, relating energy scale to temperature scale.

Q2: When is the ideal gas law applicable?
A: The ideal gas law works best for gases at high temperatures and low pressures where intermolecular forces are negligible.

Q3: What are the SI units for gas pressure?
A: The SI unit for pressure is Pascal (Pa), though other units like atm, bar, or mmHg are also commonly used.

Q4: How does temperature affect gas pressure?
A: According to the ideal gas law, pressure is directly proportional to temperature when volume and amount of gas are constant.

Q5: What are the limitations of the ideal gas law?
A: The ideal gas law becomes less accurate at high pressures and low temperatures where real gas behavior deviates from ideal behavior.

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