Initial Temperature using Integrated Form of Clausius-Clapeyron Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Temperature = 1/(((ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Final Temperature))
To = 1/(((ln(Pf/Pi)*[R])/LH)+(1/Tf))
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
Initial Temperature - (Measured in Kelvin) - The Initial temperature is defined as the measure of heat under initial state or conditions.
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.
Final Temperature - (Measured in Kelvin) - The Final temperature is the temperature at which measurements are made in final state.
STEP 1: Convert Input(s) to Base Unit
Final Pressure of System: 18.43 Pascal --> 18.43 Pascal No Conversion Required
Initial Pressure of System: 65 Pascal --> 65 Pascal No Conversion Required
Latent Heat: 1000 Joule --> 1000 Joule No Conversion Required
Final Temperature: 27 Kelvin --> 27 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
To = 1/(((ln(Pf/Pi)*[R])/LH)+(1/Tf)) --> 1/(((ln(18.43/65)*[R])/1000)+(1/27))
Evaluating ... ...
To = 37.6542515695
STEP 3: Convert Result to Output's Unit
37.6542515695 Kelvin --> No Conversion Required
FINAL ANSWER
37.6542515695 37.65425 Kelvin <-- Initial Temperature
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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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]

Initial Temperature using Integrated Form of Clausius-Clapeyron Equation Formula

Initial Temperature = 1/(((ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Final Temperature))
To = 1/(((ln(Pf/Pi)*[R])/LH)+(1/Tf))

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 Initial Temperature using Integrated Form of Clausius-Clapeyron Equation?

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

How to calculate Initial Temperature using Integrated Form of Clausius-Clapeyron Equation using this online calculator? To use this online calculator for Initial Temperature using Integrated Form of Clausius-Clapeyron Equation, enter Final Pressure of System (Pf), Initial Pressure of System (Pi), Latent Heat (LH) & Final Temperature (Tf) and hit the calculate button. Here is how the Initial Temperature using Integrated Form of Clausius-Clapeyron Equation calculation can be explained with given input values -> 37.65425 = 1/(((ln(18.43/65)*[R])/1000)+(1/27)).

FAQ

What is Initial Temperature using Integrated Form of Clausius-Clapeyron Equation?
The Initial Temperature using integrated form of Clausius-Clapeyron Equation is the initial state temperature of the system and is represented as To = 1/(((ln(Pf/Pi)*[R])/LH)+(1/Tf)) or Initial Temperature = 1/(((ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Final 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 Final temperature is the temperature at which measurements are made in final state.
How to calculate Initial Temperature using Integrated Form of Clausius-Clapeyron Equation?
The Initial Temperature using integrated form of Clausius-Clapeyron Equation is the initial state temperature of the system is calculated using Initial Temperature = 1/(((ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Final Temperature)). To calculate Initial Temperature using Integrated Form of Clausius-Clapeyron Equation, you need Final Pressure of System (Pf), Initial Pressure of System (Pi), Latent Heat (LH) & Final Temperature (Tf). With our tool, you need to enter the respective value for Final Pressure of System, Initial Pressure of System, Latent Heat & Final 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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