Final Pressure 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

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Slope of Coexistence Curve

Latent Heat

✖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 [T_f]			+10% -10%
✖The Initial temperature is defined as the measure of heat under initial state or conditions.ⓘ Initial Temperature [T_i]			+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%

✖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 [P_f]

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Formula

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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
P_f = (exp(-(LH*((1/T_f)-(1/T_i)))/[R]))*P_i
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., 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

P_f = (exp(-(LH*((1/T_f)-(1/T_i)))/[R]))*P_i --> (exp(-(25020.7*((1/700)-(1/600)))/[R]))*65

Evaluating ... ...

P_f = 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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< 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