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 Joule / Kelvin * Mole
Functions Used
ln - Natural logarithm function (base e), 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: 15 Pascal --> 15 Pascal No Conversion Required
Initial Pressure of System: 6 Pascal --> 6 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(15/6)*[R])/1000)+(1/27))
Evaluating ... ...
To = 22.3936570756772
STEP 3: Convert Result to Output's Unit
22.3936570756772 Kelvin --> No Conversion Required
FINAL ANSWER
22.3936570756772 Kelvin <-- Initial Temperature
(Calculation completed in 00.081 seconds)

Credits

Created by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
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National Institute of Information Technology (NIIT), Neemrana
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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 -> 22.39366 = 1/(((ln(15/6)*[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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