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

STEP 0: Pre-Calculation Summary
Formula Used
Latent Heat = ((Slope of coexistence curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight
LH = ((des/dT*[R]*(T^2))/eS)*MW
This formula uses 1 Constants, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324 Joule / Kelvin * Mole
Variables Used
Latent Heat - (Measured in Joule) - Latent Heat is the heat that increases the specific humidity without a change in temperature.
Slope of coexistence curve of Water Vapor - (Measured in Pascal per Kelvin) - Slope of coexistence 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 coexistence curve of Water Vapor: 10 Pascal per Kelvin --> 10 Pascal per Kelvin No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Saturation Vapor Pressure: 5 Standard Atmosphere --> 506625 Pascal (Check conversion here)
Molecular Weight: 1.2 Kilogram --> 1.2 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LH = ((des/dT*[R]*(T^2))/eS)*MW --> ((10*[R]*(85^2))/506625)*1.2
Evaluating ... ...
LH = 1.42287472784384
STEP 3: Convert Result to Output's Unit
1.42287472784384 Joule --> No Conversion Required
FINAL ANSWER
1.42287472784384 Joule <-- Latent Heat
(Calculation completed in 00.016 seconds)

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National Institute of Technology (NIT), Meghalaya
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4 Latent Heat Calculators

Latent Heat using Integrated Form of Clausius-Clapeyron Equation
Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature)) Go
Latent Heat of Evaporation of Water near Standard Temperature and Pressure
Latent Heat = ((Slope of coexistence curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight Go
Latent Heat of Vaporization for Transitions
Latent Heat = -(ln(Pressure)-Integration constant)*[R]*Temperature Go
Latent Heat using Trouton's Rule
Latent Heat = Boiling Point*10.5*[R] Go

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

Latent Heat = ((Slope of coexistence curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight
LH = ((des/dT*[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 coexistence 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 coexistence curve of Water Vapor (des/dT), 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 -> 1.422875 = ((10*[R]*(85^2))/506625)*1.2.

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 = ((des/dT*[R]*(T^2))/eS)*MW or Latent Heat = ((Slope of coexistence curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure)*Molecular Weight. Slope of coexistence 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 coexistence 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 coexistence curve of Water Vapor (des/dT), Temperature (T), Saturation Vapor Pressure (eS) & Molecular Weight (MW). With our tool, you need to enter the respective value for Slope of coexistence 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 coexistence curve of Water Vapor, Temperature, Saturation Vapor Pressure & Molecular Weight. 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(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature))
  • Latent Heat = -(ln(Pressure)-Integration constant)*[R]*Temperature
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