Temperature Formula:
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Definition: The Modified Berthelot Equation is a thermodynamic equation of state that relates temperature, pressure, and volume of real gases with correction factors.
Purpose: It provides more accurate temperature calculations for real gases compared to the ideal gas law, especially under high pressure or low temperature conditions.
The calculator uses the formula:
Where:
Explanation: The numerator calculates the ideal gas temperature, while the denominator applies corrections for real gas behavior based on reduced properties.
Details: Precise temperature determination is crucial for chemical engineering processes, thermodynamic studies, and industrial applications involving gases under non-ideal conditions.
Tips: Enter the pressure in Pascals, molar volume in m³/mol, reduced pressure (dimensionless), and reduced temperature (dimensionless). All values must be > 0.
Q1: What are reduced pressure and temperature?
A: Reduced properties are ratios of actual properties to critical properties (P/P_critical and T/T_critical).
Q2: When is the Modified Berthelot Equation most accurate?
A: It works best for moderate pressure ranges and temperatures not too close to the critical point.
Q3: How do I find reduced properties?
A: Divide the actual property by its critical value for the specific gas (available in thermodynamic tables).
Q4: What's the difference from the ideal gas law?
A: This equation includes correction terms for intermolecular forces and molecular volume effects.
Q5: Can I use this for liquids?
A: No, this equation is specifically designed for gaseous systems.