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Latent Heat using Integrated Form of Clausius-Clapeyron Equation Calculator

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Latent Heat Slope of Coexistence Curve

✖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%
✖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%

✖Latent Heat is the heat that increases the specific humidity without a change in temperature.ⓘ Latent Heat using Integrated Form of Clausius-Clapeyron Equation [LH]

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Latent Heat using Integrated Form of Clausius-Clapeyron Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Latent Heat - (Measured in Joule) - Latent Heat is the heat that increases the specific humidity without a change in temperature.
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.
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.

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
Final Temperature: 700 Kelvin --> 700 Kelvin No Conversion Required
Initial Temperature: 600 Kelvin --> 600 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LH = (-ln(P_f/P_i)*[R])/((1/T_f)-(1/T_i)) --> (-ln(133.07/65)*[R])/((1/700)-(1/600))

Evaluating ... ...

LH = 25020.2945531668

STEP 3: Convert Result to Output's Unit

25020.2945531668 Joule --> No Conversion Required

FINAL ANSWER

25020.2945531668 ≈ 25020.29 Joule <-- Latent Heat

(Calculation completed in 00.020 seconds)

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< Latent Heat Calculators

Latent Heat using Integrated Form of Clausius-Clapeyron Equation

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

Latent Heat of Evaporation of Water near Standard Temperature and Pressure

LaTeX Go Latent Heat = ((Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight

Latent Heat of Vaporization for Transitions

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

Latent Heat using Trouton's Rule

LaTeX Go Latent Heat = Boiling Point*10.5*[R]

< Important Formulas of Clausius Clapeyron Equation Calculators

August Roche Magnus Formula

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

Boiling Point using Trouton's Rule given Specific Latent Heat

LaTeX Go Boiling Point = (Specific Latent Heat*Molecular Weight)/(10.5*[R])

Boiling Point using Trouton's Rule given Latent Heat

LaTeX Go Boiling Point = Latent Heat/(10.5*[R])

Boiling Point given Enthalpy using Trouton's Rule

LaTeX Go Boiling Point = Enthalpy/(10.5*[R])

Latent Heat using Integrated Form of Clausius-Clapeyron Equation Formula

LaTeX Go

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

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 Latent Heat using Integrated Form of Clausius-Clapeyron Equation?

Latent Heat using Integrated Form of Clausius-Clapeyron Equation calculator uses Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature)) to calculate the Latent Heat, The Latent Heat using Integrated Form of Clausius-Clapeyron Equation is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process. Latent Heat is denoted by LH symbol.

How to calculate Latent Heat using Integrated Form of Clausius-Clapeyron Equation using this online calculator? To use this online calculator for Latent Heat using Integrated Form of Clausius-Clapeyron Equation, enter Final Pressure of System (P_f), Initial Pressure of System (P_i), Final Temperature (T_f) & Initial Temperature (T_i) and hit the calculate button. Here is how the Latent Heat using Integrated Form of Clausius-Clapeyron Equation calculation can be explained with given input values -> -44014.366316 = (-ln(133.07/65)*[R])/((1/700)-(1/600)).

FAQ

What is Latent Heat using Integrated Form of Clausius-Clapeyron Equation?

The Latent Heat using Integrated Form of Clausius-Clapeyron Equation is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process and is represented as LH = (-ln(P_f/P_i)*[R])/((1/T_f)-(1/T_i)) or Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(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, The Final temperature is the temperature at which measurements are made in final state & The Initial temperature is defined as the measure of heat under initial state or conditions.

How to calculate Latent Heat using Integrated Form of Clausius-Clapeyron Equation?

The Latent Heat using Integrated Form of Clausius-Clapeyron Equation is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process is calculated using Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature)). To calculate Latent Heat using Integrated Form of Clausius-Clapeyron Equation, you need Final Pressure of System (P_f), Initial Pressure of System (P_i), Final Temperature (T_f) & Initial Temperature (T_i). With our tool, you need to enter the respective value for Final Pressure of System, Initial Pressure of System, Final Temperature & Initial Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Latent Heat?

In this formula, Latent Heat uses Final Pressure of System, Initial Pressure of System, Final Temperature & Initial Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -

Latent Heat = Boiling Point*10.5*[R]
Latent Heat = -(ln(Pressure)-Integration Constant)*[R]*Temperature
Latent Heat = ((Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight

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