Clausius-Clapeyron Equation Calculator For T2

Clausius-Clapeyron Equation:

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

Temperature 1 (T1):

Gas Constant (R):

J/mol·K

Pressure 1 (P1):

Pressure 2 (P2):

Enthalpy (ΔH):

J/mol

Temperature 2 (T2):

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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 unknown temperatures when vapor pressures are known at different conditions.

2. How Does The Calculator Work?

The calculator uses the Clausius-Clapeyron equation:

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

Where:

\( T_1 \) — Initial temperature (K)
\( R \) — Gas constant (8.314 J/mol·K)
\( P_1 \) — Initial vapor pressure (Pa)
\( P_2 \) — Final vapor pressure (Pa)
\( \Delta H \) — Enthalpy of vaporization (J/mol)

Explanation: The equation calculates the temperature T2 at which a substance will have vapor pressure P2, given its vapor pressure P1 at temperature T1.

3. Importance Of T2 Calculation

Details: Calculating T2 is essential in chemical engineering, meteorology, and materials science for predicting phase change behavior, designing distillation processes, and understanding atmospheric phenomena.

4. Using The Calculator

Tips: Enter all values in appropriate units. Temperature must be in Kelvin, pressures in Pascals, and enthalpy in J/mol. Ensure all values are positive and enthalpy is not zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical value for gas constant R?
A: The universal gas constant is typically 8.314 J/mol·K, which is the default value in this calculator.

Q2: Can I use different pressure units?
A: The calculator requires pressures in Pascals. Convert from other units (atm, mmHg, bar) before calculation.

Q3: What if P2 is less than P1?
A: The equation works for both P2 > P1 and P2 < P1 cases, calculating the corresponding temperature T2.

Q4: How accurate is this calculation?
A: The equation assumes constant enthalpy of vaporization, which is valid over limited temperature ranges.

Q5: What are common applications of this equation?
A: Used in predicting boiling points at different pressures, designing evaporation systems, and studying phase diagrams.