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Clausius Clapeyron Calculation

Clausius Clapeyron Equation:

\[ \ln\left(\frac{P_2}{P_1}\right) = -\frac{\Delta H}{R} \times \left(\frac{1}{T_2} - \frac{1}{T_1}\right) \]

Pa
Pa
J/mol
K
K

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1. What is the Clausius Clapeyron Equation?

The Clausius Clapeyron equation describes the relationship between vapor pressure and temperature for a substance. It's particularly useful for calculating how vapor pressure changes with temperature during phase transitions.

2. How Does the Calculator Work?

The calculator uses the Clausius Clapeyron equation:

\[ \ln\left(\frac{P_2}{P_1}\right) = -\frac{\Delta H}{R} \times \left(\frac{1}{T_2} - \frac{1}{T_1}\right) \]

Where:

Explanation: The equation relates the natural logarithm of the pressure ratio to the enthalpy change and inverse temperature difference.

3. Importance of Vapor Pressure Calculation

Details: Accurate vapor pressure calculations are crucial for predicting phase behavior, designing distillation processes, and understanding atmospheric phenomena like cloud formation.

4. Using the Calculator

Tips: Enter all pressure values in Pascals (Pa), enthalpy in J/mol, and temperatures in Kelvin. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What assumptions does this equation make?
A: The equation assumes constant enthalpy of vaporization and ideal gas behavior, which works well for many substances over limited temperature ranges.

Q2: When is this equation most accurate?
A: The equation is most accurate for calculating small pressure changes over moderate temperature ranges.

Q3: Can this be used for sublimation?
A: Yes, the same form applies to sublimation using the enthalpy of sublimation instead of vaporization.

Q4: What are typical enthalpy values?
A: Enthalpy of vaporization typically ranges from 20-50 kJ/mol for common liquids at their boiling points.

Q5: How does pressure affect the calculation?
A: The equation assumes the vapor behaves ideally, so accuracy decreases at very high pressures where non-ideal behavior becomes significant.

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