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Final Pressure using Integrated Form of Clausius-Clapeyron Equation Calculator

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✖Latent Heat is the heat that increases the specific humidity without a change in temperature.ⓘ Latent Heat [LH]
+10%
-10%
✖The Final temperature is the temperature at which measurements are made in final state.ⓘ Final Temperature [Tf]
+10%
-10%
✖The Initial temperature is defined as the measure of heat under initial state or conditions.ⓘ Initial Temperature [Ti]
+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%
✖Final Pressure of System is the total final pressure exerted by the molecules inside the system.ⓘ Final Pressure using Integrated Form of Clausius-Clapeyron Equation [Pf]
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Final Pressure using Integrated Form of Clausius-Clapeyron Equation

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

Example
`"133.0715Pa"=(exp(-("25020.7J"*((1/"700K")-(1/"600K")))/"[R]"))*"65Pa"`

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Final Pressure using Integrated Form of Clausius-Clapeyron Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System
Pf = (exp(-(LH*((1/Tf)-(1/Ti)))/[R]))*Pi
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324 Joule / Kelvin * Mole
Functions Used
exp - Exponential function, exp(Number)
Variables Used
Final Pressure of System - (Measured in Pascal) - Final Pressure of System is the total final 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.
Final Temperature - (Measured in Kelvin) - The Final temperature is the temperature at which measurements are made in final state.
Initial Temperature - (Measured in Kelvin) - The Initial temperature is defined as the measure of heat under initial state or conditions.
Initial Pressure of System - (Measured in Pascal) - Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.
STEP 1: Convert Input(s) to Base Unit
Latent Heat: 25020.7 Joule --> 25020.7 Joule No Conversion Required
Final Temperature: 700 Kelvin --> 700 Kelvin No Conversion Required
Initial Temperature: 600 Kelvin --> 600 Kelvin No Conversion Required
Initial Pressure of System: 65 Pascal --> 65 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pf = (exp(-(LH*((1/Tf)-(1/Ti)))/[R]))*Pi --> (exp(-(25020.7*((1/700)-(1/600)))/[R]))*65
Evaluating ... ...
Pf = 133.071545016477
STEP 3: Convert Result to Output's Unit
133.071545016477 Pascal --> No Conversion Required
FINAL ANSWER
133.071545016477 ≈ 133.0715 Pascal <-- Final Pressure of System
(Calculation completed in 00.004 seconds)
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Created by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
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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 Pressure using Integrated Form of Clausius-Clapeyron Equation Formula

Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System
Pf = (exp(-(LH*((1/Tf)-(1/Ti)))/[R]))*Pi

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 Pressure using Integrated Form of Clausius-Clapeyron Equation?

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

How to calculate Final Pressure using Integrated Form of Clausius-Clapeyron Equation using this online calculator? To use this online calculator for Final Pressure using Integrated Form of Clausius-Clapeyron Equation, enter Latent Heat (LH), Final Temperature (Tf), Initial Temperature (Ti) & Initial Pressure of System (Pi) and hit the calculate button. Here is how the Final Pressure using Integrated Form of Clausius-Clapeyron Equation calculation can be explained with given input values -> 133.0715 = (exp(-(25020.7*((1/700)-(1/600)))/[R]))*65.

FAQ

What is Final Pressure using Integrated Form of Clausius-Clapeyron Equation?
The Final Pressure using integrated form of Clausius-Clapeyron Equation is the final state pressure of the system and is represented as Pf = (exp(-(LH*((1/Tf)-(1/Ti)))/[R]))*Pi or Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System. Latent Heat is the heat that increases the specific humidity without a change in temperature, The Final temperature is the temperature at which measurements are made in final state, The Initial temperature is defined as the measure of heat under initial state or conditions & Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.
How to calculate Final Pressure using Integrated Form of Clausius-Clapeyron Equation?
The Final Pressure using integrated form of Clausius-Clapeyron Equation is the final state pressure of the system is calculated using Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System. To calculate Final Pressure using Integrated Form of Clausius-Clapeyron Equation, you need Latent Heat (LH), Final Temperature (Tf), Initial Temperature (Ti) & Initial Pressure of System (Pi). With our tool, you need to enter the respective value for Latent Heat, Final Temperature, Initial Temperature & Initial Pressure of System 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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