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Specific Latent Heat 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%
✖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%
✖Molecular Weight is the mass of a given molecule.ⓘ Molecular Weight [MW]			+10% -10%

✖The Specific Latent Heat is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process.ⓘ Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation [L]

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Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/(((1/Final Temperature)-(1/Initial Temperature))*Molecular Weight)
L = (-ln(P_f/P_i)*[R])/(((1/T_f)-(1/T_i))*MW)
This formula uses 1 Constants, 1 Functions, 6 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

Specific Latent Heat - (Measured in Joule per Kilogram) - The Specific Latent Heat is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process.
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.
Molecular Weight - (Measured in Kilogram) - Molecular Weight is the mass of a given molecule.

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
Molecular Weight: 120 Gram --> 0.12 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (-ln(P_f/P_i)*[R])/(((1/T_f)-(1/T_i))*MW) --> (-ln(133.07/65)*[R])/(((1/700)-(1/600))*0.12)

Evaluating ... ...

L = 208502.454609723

STEP 3: Convert Result to Output's Unit

208502.454609723 Joule per Kilogram --> No Conversion Required

FINAL ANSWER

208502.454609723 ≈ 208502.5 Joule per Kilogram <-- Specific Latent Heat

(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))

< 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])

Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation Formula

LaTeX Go

Specific Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/(((1/Final Temperature)-(1/Initial Temperature))*Molecular Weight)
L = (-ln(P_f/P_i)*[R])/(((1/T_f)-(1/T_i))*MW)

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 Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation?

Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation calculator uses Specific Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/(((1/Final Temperature)-(1/Initial Temperature))*Molecular Weight) to calculate the Specific Latent Heat, The Specific Latent Heat using integrated form of Clausius-Clapeyron Equation expresses the amount of energy in the form of heat required to completely effect a phase change of a unit of mass. Specific Latent Heat is denoted by L symbol.

How to calculate Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation using this online calculator? To use this online calculator for Specific 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) & Molecular Weight (MW) and hit the calculate button. Here is how the Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation calculation can be explained with given input values -> -366786.385964 = (-ln(133.07/65)*[R])/(((1/700)-(1/600))*0.12).

FAQ

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

The Specific Latent Heat using integrated form of Clausius-Clapeyron Equation expresses the amount of energy in the form of heat required to completely effect a phase change of a unit of mass and is represented as L = (-ln(P_f/P_i)*[R])/(((1/T_f)-(1/T_i))*MW) or Specific Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/(((1/Final Temperature)-(1/Initial Temperature))*Molecular Weight). 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 & Molecular Weight is the mass of a given molecule.

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

The Specific Latent Heat using integrated form of Clausius-Clapeyron Equation expresses the amount of energy in the form of heat required to completely effect a phase change of a unit of mass is calculated using Specific Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/(((1/Final Temperature)-(1/Initial Temperature))*Molecular Weight). To calculate Specific 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) & Molecular Weight (MW). With our tool, you need to enter the respective value for Final Pressure of System, Initial Pressure of System, Final Temperature, Initial Temperature & Molecular Weight 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 Specific Latent Heat?

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

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

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