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Final Temperature using Integrated Form of Clausius-Clapeyron Equation Calculator

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Clausius-Clapeyron Equation
Depression in Freezing Point
Elevation in Boiling Point
Gibb's Phase Rule
Immiscible Liquids
Important Formulas of Clausius-Clapeyron Equation
Important Formulas of Colligative Properties
Osmotic Pressure
Relative Lowering of Vapour Pressure
Van't Hoff Factor
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 [Pf]
+10%
-10%
✖Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.ⓘ Initial Pressure of System [Pi]
+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 [Ti]
+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 [Tf]
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Final Temperature using Integrated Form of Clausius-Clapeyron Equation

Formula
`"T"_{"f"} = 1/((-(ln("P"_{"f"}/"P"_{"i"})*"[R]")/"LH")+(1/"T"_{"i"}))`

Example
`"699.9981K"=1/((-(ln("133.07Pa"/"65Pa")*"[R]")/"25020.7J")+(1/"600K"))`

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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))
Tf = 1/((-(ln(Pf/Pi)*[R])/LH)+(1/Ti))
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
Tf = 1/((-(ln(Pf/Pi)*[R])/LH)+(1/Ti)) --> 1/((-(ln(133.07/65)*[R])/25020.7)+(1/600))
Evaluating ... ...
Tf = 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 00.004 seconds)
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Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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20 Clausius-Clapeyron Equation Calculators

Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation
​ Go Specific Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/(((1/Final Temperature)-(1/Initial Temperature))*Molecular Weight)
Enthalpy using Integrated Form of Clausius-Clapeyron Equation
​ Go Change in Enthalpy = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature))
Initial Pressure using Integrated Form of Clausius-Clapeyron Equation
​ Go Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))
Final Pressure using Integrated Form of Clausius-Clapeyron Equation
​ Go Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System
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))
Initial Temperature using Integrated Form of Clausius-Clapeyron Equation
​ Go Initial Temperature = 1/(((ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Final Temperature))
Change in Pressure using Clausius Equation
​ Go Change in Pressure = (Change in Temperature*Molal Heat of Vaporization)/((Molar Volume-Molal Liquid Volume)*Absolute Temperature)
Temperature in Evaporation of Water near Standard Temperature and Pressure
​ Go Temperature = sqrt((Specific Latent Heat*Saturation Vapor Pressure)/(Slope of Co-existence Curve of Water Vapor*[R]))
Ratio of Vapour Pressure using Integrated Form of Clausius-Clapeyron Equation
​ Go Ratio of Vapor Pressure = exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R])
Specific Latent Heat of Evaporation of Water near Standard Temperature and Pressure
​ Go Specific Latent Heat = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure
Saturation Vapor Pressure near Standard Temperature and Pressure
​ Go Saturation Vapor Pressure = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Specific Latent Heat
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))
Entropy of Vaporization using Trouton's Rule
​ Go Entropy = (4.5*[R])+([R]*ln(Temperature))
Boiling Point using Trouton's Rule given Specific Latent Heat
​ Go Boiling Point = (Specific Latent Heat*Molecular Weight)/(10.5*[R])
Specific Latent Heat using Trouton's Rule
​ Go Specific Latent Heat = (Boiling Point*10.5*[R])/Molecular Weight
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])
Enthalpy of Vaporization using Trouton's Rule
​ Go Enthalpy = Boiling Point*10.5*[R]

22 Important Formulas of Clausius-Clapeyron Equation Calculators

Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation
​ Go Specific Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/(((1/Final Temperature)-(1/Initial Temperature))*Molecular Weight)
Enthalpy using Integrated Form of Clausius-Clapeyron Equation
​ Go Change in Enthalpy = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature))
Final Pressure using Integrated Form of Clausius-Clapeyron Equation
​ Go Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System
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))
Latent Heat using Integrated Form of Clausius-Clapeyron Equation
​ Go Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature))
Change in Pressure using Clausius Equation
​ Go Change in Pressure = (Change in Temperature*Molal Heat of Vaporization)/((Molar Volume-Molal Liquid Volume)*Absolute Temperature)
Latent Heat of Evaporation of Water near Standard Temperature and Pressure
​ Go Latent Heat = ((Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight
Slope of Coexistence Curve of Water Vapor near Standard Temperature and Pressure
​ Go Slope of Co-existence Curve of Water Vapor = (Specific Latent Heat*Saturation Vapor Pressure)/([R]*(Temperature^2))
Specific Latent Heat of Evaporation of Water near Standard Temperature and Pressure
​ Go Specific Latent Heat = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure
Saturation Vapor Pressure near Standard Temperature and Pressure
​ Go Saturation Vapor Pressure = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Specific Latent Heat
Latent Heat of Vaporization for Transitions
​ Go Latent Heat = -(ln(Pressure)-Integration Constant)*[R]*Temperature
Slope of Coexistence Curve given Pressure and Latent Heat
​ Go Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R])
August Roche Magnus Formula
​ Go Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))
Entropy of Vaporization using Trouton's Rule
​ Go Entropy = (4.5*[R])+([R]*ln(Temperature))
Slope of Coexistence Curve using Enthalpy
​ Go Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume)
Boiling Point using Trouton's Rule given Specific Latent Heat
​ Go Boiling Point = (Specific Latent Heat*Molecular Weight)/(10.5*[R])
Specific Latent Heat using Trouton's Rule
​ Go Specific Latent Heat = (Boiling Point*10.5*[R])/Molecular Weight
Slope of Coexistence Curve using Entropy
​ Go Slope of Coexistence Curve = Change in Entropy/Change in Volume
Boiling Point using Trouton's Rule given Latent Heat
​ Go Boiling Point = Latent Heat/(10.5*[R])
Latent Heat using Trouton's Rule
​ Go Latent Heat = Boiling Point*10.5*[R]
Boiling Point given Enthalpy using Trouton's Rule
​ Go Boiling Point = Enthalpy/(10.5*[R])
Enthalpy of Vaporization using Trouton's Rule
​ Go Enthalpy = Boiling Point*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))
Tf = 1/((-(ln(Pf/Pi)*[R])/LH)+(1/Ti))

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 Tf 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 (Pf), Initial Pressure of System (Pi), Latent Heat (LH) & Initial Temperature (Ti) 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 Tf = 1/((-(ln(Pf/Pi)*[R])/LH)+(1/Ti)) 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 (Pf), Initial Pressure of System (Pi), Latent Heat (LH) & Initial Temperature (Ti). 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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