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Final Temperature using Integrated Form of Clausius-Clapeyron Equation Calculator

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Slope of Coexistence Curve Latent Heat

✖Final Pressure of System is the total final pressure exerted by the molecules inside the system.ⓘ Final Pressure of System [P_f]			+10% -10%
✖Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.ⓘ Initial Pressure of System [P_i]			+10% -10%
✖Latent Heat is the heat that increases the specific humidity without a change in temperature.ⓘ Latent Heat [LH]			+10% -10%
✖The Initial temperature is defined as the measure of heat under initial state or conditions.ⓘ Initial Temperature [T_i]			+10% -10%

✖The Final temperature is the temperature at which measurements are made in final state.ⓘ Final Temperature using Integrated Form of Clausius-Clapeyron Equation [T_f]

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Formula

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Final Temperature using Integrated Form of Clausius-Clapeyron Equation

Formula

T f = \frac{1}{(- \frac{\ln (\frac{P f}{P i}) \cdot [R]}{LH}) + (\frac{1}{T i})}

Example

699.9981 K = \frac{1}{(- \frac{\ln (\frac{133.07 Pa}{65 Pa}) \cdot [R]}{25020.7 J}) + (\frac{1}{600 K})}

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Final Temperature using Integrated Form of Clausius-Clapeyron Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature))
T_f = 1/((-(ln(P_f/P_i)*[R])/LH)+(1/T_i))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Final Temperature - (Measured in Kelvin) - The Final temperature is the temperature at which measurements are made in final state.
Final Pressure of System - (Measured in Pascal) - Final Pressure of System is the total final pressure exerted by the molecules inside the system.
Initial Pressure of System - (Measured in Pascal) - Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.
Latent Heat - (Measured in Joule) - Latent Heat is the heat that increases the specific humidity without a change in temperature.
Initial Temperature - (Measured in Kelvin) - The Initial temperature is defined as the measure of heat under initial state or conditions.

STEP 1: Convert Input(s) to Base Unit

Final Pressure of System: 133.07 Pascal --> 133.07 Pascal No Conversion Required
Initial Pressure of System: 65 Pascal --> 65 Pascal No Conversion Required
Latent Heat: 25020.7 Joule --> 25020.7 Joule No Conversion Required
Initial Temperature: 600 Kelvin --> 600 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_f = 1/((-(ln(P_f/P_i)*[R])/LH)+(1/T_i)) --> 1/((-(ln(133.07/65)*[R])/25020.7)+(1/600))

Evaluating ... ...

T_f = 699.998109485234

STEP 3: Convert Result to Output's Unit

699.998109485234 Kelvin --> No Conversion Required

FINAL ANSWER

699.998109485234 ≈ 699.9981 Kelvin <-- Final Temperature

(Calculation completed in 00.020 seconds)

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< Clausius Clapeyron Equation Calculators

Final Temperature using Integrated Form of Clausius-Clapeyron Equation

Go Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature))

Temperature for Transitions

Go Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)*[R])

Pressure for Transitions between Gas and Condensed Phase

Go Pressure = exp(-Latent Heat/([R]*Temperature))+Integration Constant

August Roche Magnus Formula

Go Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))

< Important Formulas of Clausius Clapeyron Equation Calculators

August Roche Magnus Formula

Go Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))

Boiling Point using Trouton's Rule given Specific Latent Heat

Go Boiling Point = (Specific Latent Heat*Molecular Weight)/(10.5*[R])

Boiling Point using Trouton's Rule given Latent Heat

Go Boiling Point = Latent Heat/(10.5*[R])

Boiling Point given Enthalpy using Trouton's Rule

Go Boiling Point = Enthalpy/(10.5*[R])

Final Temperature using Integrated Form of Clausius-Clapeyron Equation Formula

Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature))
T_f = 1/((-(ln(P_f/P_i)*[R])/LH)+(1/T_i))

What is the Clausius–Clapeyron relation?

The Clausius–Clapeyron relation, named after Rudolf Clausius and Benoît Paul Émile Clapeyron, is a way of characterizing a discontinuous phase transition between two phases of matter of a single constituent. On a pressure–temperature (P–T) diagram, the line separating the two phases is known as the coexistence curve. The Clausius–Clapeyron relation gives the slope of the tangents to this curve.

How to Calculate Final Temperature using Integrated Form of Clausius-Clapeyron Equation?

Final Temperature using Integrated Form of Clausius-Clapeyron Equation calculator uses Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature)) to calculate the Final Temperature, The Final Temperature using integrated form of Clausius-Clapeyron Equation is the final state temperature of the system. Final Temperature is denoted by T_f symbol.

How to calculate Final Temperature using Integrated Form of Clausius-Clapeyron Equation using this online calculator? To use this online calculator for Final Temperature using Integrated Form of Clausius-Clapeyron Equation, enter Final Pressure of System (P_f), Initial Pressure of System (P_i), Latent Heat (LH) & Initial Temperature (T_i) and hit the calculate button. Here is how the Final Temperature using Integrated Form of Clausius-Clapeyron Equation calculation can be explained with given input values -> 479.5003 = 1/((-(ln(133.07/65)*[R])/25020.7)+(1/600)).

FAQ

What is Final Temperature using Integrated Form of Clausius-Clapeyron Equation?

The Final Temperature using integrated form of Clausius-Clapeyron Equation is the final state temperature of the system and is represented as T_f = 1/((-(ln(P_f/P_i)*[R])/LH)+(1/T_i)) or Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature)). Final Pressure of System is the total final pressure exerted by the molecules inside the system, Initial Pressure of System is the total initial pressure exerted by the molecules inside the system, Latent Heat is the heat that increases the specific humidity without a change in temperature & The Initial temperature is defined as the measure of heat under initial state or conditions.

How to calculate Final Temperature using Integrated Form of Clausius-Clapeyron Equation?

The Final Temperature using integrated form of Clausius-Clapeyron Equation is the final state temperature of the system is calculated using Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature)). To calculate Final Temperature using Integrated Form of Clausius-Clapeyron Equation, you need Final Pressure of System (P_f), Initial Pressure of System (P_i), Latent Heat (LH) & Initial Temperature (T_i). With our tool, you need to enter the respective value for Final Pressure of System, Initial Pressure of System, Latent Heat & Initial Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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