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/To))
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
ln - Natural logarithm function (base e), 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: 15 Pascal --> 15 Pascal No Conversion Required
Initial Pressure of System: 65 Pascal --> 65 Pascal No Conversion Required
Latent Heat: 1000 Joule --> 1000 Joule No Conversion Required
Initial Temperature: 20 Kelvin --> 20 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tf = 1/((-(ln(Pf/Pi)*[R])/LH)+(1/To)) --> 1/((-(ln(15/65)*[R])/1000)+(1/20))
Evaluating ... ...
Tf = 16.0792889692583
STEP 3: Convert Result to Output's Unit
16.0792889692583 Kelvin --> No Conversion Required
FINAL ANSWER
16.0792889692583 Kelvin <-- Final Temperature
(Calculation completed in 00.031 seconds)

Credits

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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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/To))

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 (To) 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 -> 16.07929 = 1/((-(ln(15/65)*[R])/1000)+(1/20)).

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/To)) 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 (To). 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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