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(Pf/Pi)*[R])/((1/Tf)-(1/Ti))
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(Pf/Pi)*[R])/((1/Tf)-(1/Ti)) --> (-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 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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4 Latent Heat Calculators

Latent Heat using Integrated Form of Clausius-Clapeyron Equation
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
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
Go Latent Heat = -(ln(Pressure)-Integration Constant)*[R]*Temperature
Latent Heat using Trouton's Rule
Go Latent Heat = Boiling Point*10.5*[R]

22 Important Formulas of Clausius-Clapeyron Equation Calculators

Specific Latent Heat using Integrated Form of Clausius-Clapeyron Equation
Go Specific Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/(((1/Final Temperature)-(1/Initial Temperature))*Molecular Weight)
Enthalpy using Integrated Form of Clausius-Clapeyron Equation
Go Change in Enthalpy = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature))
Final Pressure using Integrated Form of Clausius-Clapeyron Equation
Go Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System
Final Temperature using Integrated Form of Clausius-Clapeyron Equation
Go Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature))
Latent Heat using Integrated Form of Clausius-Clapeyron Equation
Go Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature))
Change in Pressure using Clausius Equation
Go Change in Pressure = (Change in Temperature*Molal Heat of Vaporization)/((Molar Volume-Molal Liquid Volume)*Absolute Temperature)
Latent Heat of Evaporation of Water near Standard Temperature and Pressure
Go Latent Heat = ((Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight
Slope of Coexistence Curve of Water Vapor near Standard Temperature and Pressure
Go Slope of Co-existence Curve of Water Vapor = (Specific Latent Heat*Saturation Vapor Pressure)/([R]*(Temperature^2))
Specific Latent Heat of Evaporation of Water near Standard Temperature and Pressure
Go Specific Latent Heat = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure
Saturation Vapor Pressure near Standard Temperature and Pressure
Go Saturation Vapor Pressure = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Specific Latent Heat
Latent Heat of Vaporization for Transitions
Go Latent Heat = -(ln(Pressure)-Integration Constant)*[R]*Temperature
Slope of Coexistence Curve given Pressure and Latent Heat
Go Slope of Coexistence Curve = (Pressure*Latent Heat)/((Temperature^2)*[R])
August Roche Magnus Formula
Go Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))
Entropy of Vaporization using Trouton's Rule
Go Entropy = (4.5*[R])+([R]*ln(Temperature))
Slope of Coexistence Curve using Enthalpy
Go Slope of Coexistence Curve = Enthalpy Change/(Temperature*Change in Volume)
Boiling Point using Trouton's Rule given Specific Latent Heat
Go Boiling Point = (Specific Latent Heat*Molecular Weight)/(10.5*[R])
Specific Latent Heat using Trouton's Rule
Go Specific Latent Heat = (Boiling Point*10.5*[R])/Molecular Weight
Slope of Coexistence Curve using Entropy
Go Slope of Coexistence Curve = Change in Entropy/Change in Volume
Boiling Point using Trouton's Rule given Latent Heat
Go Boiling Point = Latent Heat/(10.5*[R])
Latent Heat using Trouton's Rule
Go Latent Heat = Boiling Point*10.5*[R]
Boiling Point given Enthalpy using Trouton's Rule
Go Boiling Point = Enthalpy/(10.5*[R])
Enthalpy of Vaporization using Trouton's Rule
Go Enthalpy = Boiling Point*10.5*[R]

Latent Heat using Integrated Form of Clausius-Clapeyron Equation Formula

Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature))
LH = (-ln(Pf/Pi)*[R])/((1/Tf)-(1/Ti))

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 (Pf), Initial Pressure of System (Pi), Final Temperature (Tf) & Initial Temperature (Ti) 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(Pf/Pi)*[R])/((1/Tf)-(1/Ti)) 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 (Pf), Initial Pressure of System (Pi), Final Temperature (Tf) & Initial Temperature (Ti). 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 6 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
  • Latent Heat = ((Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight
  • Latent Heat = -(ln(Pressure)-Integration Constant)*[R]*Temperature
  • Latent Heat = Boiling Point*10.5*[R]
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