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Initial Temperature using Integrated Form of Clausius-Clapeyron Equation Calculator

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Slope of Coexistence Curve Latent Heat

✖Final Pressure of System is the total final pressure exerted by the molecules inside the system.ⓘ Final Pressure of System [P_f]			+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%
✖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 using Integrated Form of Clausius-Clapeyron Equation [T_i]

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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))
T_i = 1/(((ln(P_f/P_i)*[R])/LH)+(1/T_f))
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: 133.07 Pascal --> 133.07 Pascal No Conversion Required
Initial Pressure of System: 65 Pascal --> 65 Pascal No Conversion Required
Latent Heat: 25020.7 Joule --> 25020.7 Joule No Conversion Required
Final Temperature: 700 Kelvin --> 700 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_i = 1/(((ln(P_f/P_i)*[R])/LH)+(1/T_f)) --> 1/(((ln(133.07/65)*[R])/25020.7)+(1/700))

Evaluating ... ...

T_i = 600.00138895659

STEP 3: Convert Result to Output's Unit

600.00138895659 Kelvin --> No Conversion Required

FINAL ANSWER

600.00138895659 ≈ 600.0014 Kelvin <-- Initial Temperature

(Calculation completed in 00.004 seconds)

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< Clausius Clapeyron Equation Calculators

Final Temperature using Integrated Form of Clausius-Clapeyron Equation

LaTeX Go Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature))

Temperature for Transitions

LaTeX Go Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)*[R])

Pressure for Transitions between Gas and Condensed Phase

LaTeX Go Pressure = exp(-Latent Heat/([R]*Temperature))+Integration Constant

August Roche Magnus Formula

LaTeX Go Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))

Initial Temperature using Integrated Form of Clausius-Clapeyron Equation Formula

LaTeX Go

Initial Temperature = 1/(((ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Final Temperature))
T_i = 1/(((ln(P_f/P_i)*[R])/LH)+(1/T_f))

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 T_i 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 (P_f), Initial Pressure of System (P_i), Latent Heat (LH) & Final Temperature (T_f) 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 -> 600.0014 = 1/(((ln(133.07/65)*[R])/25020.7)+(1/700)).

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 T_i = 1/(((ln(P_f/P_i)*[R])/LH)+(1/T_f)) 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 (P_f), Initial Pressure of System (P_i), Latent Heat (LH) & Final Temperature (T_f). 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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