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Volume Of Box Having Gas Molecule Given Pressure Formula:
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The Volume Of Box Having Gas Molecule Given Pressure calculates the volume of a rectangular container containing gas molecules based on the mass per molecule, particle speed, and gas pressure. This formula is derived from kinetic theory of gases.
The calculator uses the formula:
Where:
Explanation: The formula relates the kinetic energy of gas molecules to the pressure they exert on the container walls, allowing calculation of the container volume.
Details: Accurate volume calculation is crucial for understanding gas behavior in confined spaces, designing pressure vessels, and studying thermodynamic properties of gases.
Tips: Enter mass per molecule in kg, particle speed in m/s, and gas pressure in Pa. All values must be positive and non-zero.
Q1: What assumptions does this formula make?
A: This formula assumes ideal gas behavior, elastic collisions, and that the gas molecules are point particles with no intermolecular forces.
Q2: How accurate is this calculation for real gases?
A: For real gases at high pressures or low temperatures, this calculation may have reduced accuracy due to intermolecular forces and finite molecular size.
Q3: What units should be used for input values?
A: Mass should be in kilograms (kg), speed in meters per second (m/s), and pressure in pascals (Pa) for consistent SI unit results.
Q4: Can this formula be used for mixtures of gases?
A: For gas mixtures, the calculation would need to account for the average mass and speed of different molecular species.
Q5: How does temperature affect this calculation?
A: Temperature is indirectly accounted for through the particle speed, as higher temperatures generally result in higher molecular speeds.