Latent Heat of Evaporation of Water near Standard Temperature and Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Latent Heat = ((Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight
LH = ((dedTslope*[R]*(T^2))/eS)*MW
This formula uses 1 Constants, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Latent Heat - (Measured in Joule) - Latent Heat is the heat that increases the specific humidity without a change in temperature.
Slope of Co-existence Curve of Water Vapor - (Measured in Pascal per Kelvin) - Slope of Co-existence Curve of Water Vapor is the slope of the tangent to the coexistence curve at any point (near standard temperature and pressure).
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Saturation Vapor Pressure - (Measured in Pascal) - The Saturation Vapor Pressure is defined as the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases (solid or liquid) at a given temperature in a closed system.
Molecular Weight - (Measured in Kilogram) - Molecular Weight is the mass of a given molecule.
STEP 1: Convert Input(s) to Base Unit
Slope of Co-existence Curve of Water Vapor: 25 Pascal per Kelvin --> 25 Pascal per Kelvin No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Saturation Vapor Pressure: 7.2 Pascal --> 7.2 Pascal No Conversion Required
Molecular Weight: 120 Gram --> 0.12 Kilogram (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LH = ((dedTslope*[R]*(T^2))/eS)*MW --> ((25*[R]*(85^2))/7.2)*0.12
Evaluating ... ...
LH = 25029.9968400655
STEP 3: Convert Result to Output's Unit
25029.9968400655 Joule --> No Conversion Required
FINAL ANSWER
25029.9968400655 25030 Joule <-- Latent Heat
(Calculation completed in 00.004 seconds)

Credits

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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 Evaporation of Water near Standard Temperature and Pressure Formula

Latent Heat = ((Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight
LH = ((dedTslope*[R]*(T^2))/eS)*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 Latent Heat of Evaporation of Water near Standard Temperature and Pressure?

Latent Heat of Evaporation of Water near Standard Temperature and Pressure calculator uses Latent Heat = ((Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight to calculate the Latent Heat, The Latent heat of evaporation of water near standard temperature and pressure 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 of Evaporation of Water near Standard Temperature and Pressure using this online calculator? To use this online calculator for Latent Heat of Evaporation of Water near Standard Temperature and Pressure, enter Slope of Co-existence Curve of Water Vapor (dedTslope), Temperature (T), Saturation Vapor Pressure (eS) & Molecular Weight (MW) and hit the calculate button. Here is how the Latent Heat of Evaporation of Water near Standard Temperature and Pressure calculation can be explained with given input values -> 13015.6 = ((25*[R]*(85^2))/7.2)*0.12.

FAQ

What is Latent Heat of Evaporation of Water near Standard Temperature and Pressure?
The Latent heat of evaporation of water near standard temperature and pressure is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process and is represented as LH = ((dedTslope*[R]*(T^2))/eS)*MW or Latent Heat = ((Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight. Slope of Co-existence Curve of Water Vapor is the slope of the tangent to the coexistence curve at any point (near standard temperature and pressure), Temperature is the degree or intensity of heat present in a substance or object, The Saturation Vapor Pressure is defined as the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases (solid or liquid) at a given temperature in a closed system & Molecular Weight is the mass of a given molecule.
How to calculate Latent Heat of Evaporation of Water near Standard Temperature and Pressure?
The Latent heat of evaporation of water near standard temperature and pressure is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process is calculated using Latent Heat = ((Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight. To calculate Latent Heat of Evaporation of Water near Standard Temperature and Pressure, you need Slope of Co-existence Curve of Water Vapor (dedTslope), Temperature (T), Saturation Vapor Pressure (eS) & Molecular Weight (MW). With our tool, you need to enter the respective value for Slope of Co-existence Curve of Water Vapor, Temperature, Saturation Vapor Pressure & 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 Latent Heat?
In this formula, Latent Heat uses Slope of Co-existence Curve of Water Vapor, Temperature, Saturation Vapor Pressure & Molecular Weight. 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 = -(ln(Pressure)-Integration Constant)*[R]*Temperature
  • Latent Heat = -(ln(Pressure)-Integration Constant)*[R]*Temperature
  • 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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