Latent Heat of Vaporization for Transitions Solution

STEP 0: Pre-Calculation Summary
Formula Used
Latent Heat = -(ln(Pressure)-Integration Constant)*[R]*Temperature
LH = -(ln(P)-c)*[R]*T
This formula uses 1 Constants, 1 Functions, 4 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.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Integration Constant - The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
STEP 1: Convert Input(s) to Base Unit
Pressure: 41 Pascal --> 41 Pascal No Conversion Required
Integration Constant: 45 --> No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LH = -(ln(P)-c)*[R]*T --> -(ln(41)-45)*[R]*85
Evaluating ... ...
LH = 29178.3292435195
STEP 3: Convert Result to Output's Unit
29178.3292435195 Joule --> No Conversion Required
FINAL ANSWER
29178.3292435195 29178.33 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 of Vaporization for Transitions Formula

Latent Heat = -(ln(Pressure)-Integration Constant)*[R]*Temperature
LH = -(ln(P)-c)*[R]*T

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 of Vaporization for Transitions?

Latent Heat of Vaporization for Transitions calculator uses Latent Heat = -(ln(Pressure)-Integration Constant)*[R]*Temperature to calculate the Latent Heat, The Latent Heat of vaporization for transitions is the energy released or absorbed at constant temperature during vaporization. Latent Heat is denoted by LH symbol.

How to calculate Latent Heat of Vaporization for Transitions using this online calculator? To use this online calculator for Latent Heat of Vaporization for Transitions, enter Pressure (P), Integration Constant (c) & Temperature (T) and hit the calculate button. Here is how the Latent Heat of Vaporization for Transitions calculation can be explained with given input values -> 27078.61 = -(ln(41)-45)*[R]*85.

FAQ

What is Latent Heat of Vaporization for Transitions?
The Latent Heat of vaporization for transitions is the energy released or absorbed at constant temperature during vaporization and is represented as LH = -(ln(P)-c)*[R]*T or Latent Heat = -(ln(Pressure)-Integration Constant)*[R]*Temperature. Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, The Integration constant is a constant that is added to the function obtained by evaluating the indefinite integral of a given function & Temperature is the degree or intensity of heat present in a substance or object.
How to calculate Latent Heat of Vaporization for Transitions?
The Latent Heat of vaporization for transitions is the energy released or absorbed at constant temperature during vaporization is calculated using Latent Heat = -(ln(Pressure)-Integration Constant)*[R]*Temperature. To calculate Latent Heat of Vaporization for Transitions, you need Pressure (P), Integration Constant (c) & Temperature (T). With our tool, you need to enter the respective value for Pressure, Integration Constant & 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 Pressure, Integration Constant & 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(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial 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(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature))
  • Latent Heat = Boiling Point*10.5*[R]
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