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The formula \( P_{gas} = \frac{2}{3} \times \frac{KE}{V_{gas}} \) relates the pressure of a gas to its kinetic energy and volume, derived from the kinetic theory of gases. It provides a fundamental relationship between these thermodynamic properties.
The calculator uses the formula:
Where:
Explanation: This formula demonstrates that gas pressure is directly proportional to the kinetic energy of gas molecules and inversely proportional to the volume they occupy.
Details: Calculating gas pressure from kinetic energy is essential in thermodynamics, gas law applications, and understanding molecular behavior in various physical systems.
Tips: Enter kinetic energy in Joules and gas volume in cubic meters. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What are the SI units for this calculation?
A: Pressure is measured in Pascals (Pa), kinetic energy in Joules (J), and volume in cubic meters (m³).
Q2: Does this formula apply to all gases?
A: This formula is derived for ideal gases and provides a good approximation for real gases under standard conditions.
Q3: How does temperature relate to this formula?
A: Kinetic energy is directly related to temperature through \( KE = \frac{3}{2}kT \), connecting pressure to temperature via \( P = \frac{NkT}{V} \).
Q4: What assumptions are made in this formula?
A: The formula assumes ideal gas behavior, negligible intermolecular forces, and elastic collisions between gas molecules and container walls.
Q5: Can this be used for compressed gases?
A: For highly compressed gases, real gas corrections may be needed as intermolecular forces become significant.