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Boyle's Law in adiabatic processes describes the relationship between pressure and volume for an ideal gas when no heat is exchanged with the surroundings. The gas constant a provides a correction for intermolecular forces and is characteristic of the individual gas.
The calculator uses the formula:
Where:
Explanation: This formula calculates the gas constant a by multiplying the pressure of compressible flow by the specific volume raised to the power of the heat capacity ratio.
Details: Accurate calculation of gas constant a is crucial for understanding gas behavior in adiabatic processes, designing thermodynamic systems, and predicting pressure-volume relationships in compressible flows.
Tips: Enter pressure in Pascals, specific volume in m³/kg, and heat capacity ratio as a dimensionless value. All values must be positive.
Q1: What is the significance of gas constant a?
A: Gas constant a provides a correction for intermolecular forces and is a characteristic property of individual gases in thermodynamic calculations.
Q2: How does adiabatic process differ from isothermal process?
A: In adiabatic processes, no heat is exchanged with surroundings, while in isothermal processes, temperature remains constant throughout.
Q3: What are typical values for heat capacity ratio?
A: For monatomic gases, C ≈ 1.67; for diatomic gases, C ≈ 1.4; for polyatomic gases, C ≈ 1.33.
Q4: When is this formula applicable?
A: This formula applies to ideal gases undergoing adiabatic processes where no heat transfer occurs.
Q5: What are the limitations of this calculation?
A: This calculation assumes ideal gas behavior and may not be accurate for real gases under extreme conditions of pressure and temperature.