Specific latent heat of evaporation of water near standard temperature and pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Latent Heat = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure
Lspecific = (des/dT*[R]*(T^2))/eS
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324 Joule / Kelvin * Mole
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.
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.
STEP 1: Convert Input(s) to Base Unit
Slope of Co-existence Curve of Water Vapor: 13 Pascal per Kelvin --> 13 Pascal per Kelvin No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Saturation Vapor Pressure: 8 Pascal --> 8 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lspecific = (des/dT*[R]*(T^2))/eS --> (13*[R]*(85^2))/8
Evaluating ... ...
Lspecific = 97616.9876762554
STEP 3: Convert Result to Output's Unit
97616.9876762554 Joule per Kilogram --> No Conversion Required
FINAL ANSWER
97616.9876762554 Joule per Kilogram <-- Specific Latent Heat
(Calculation completed in 00.015 seconds)

Credits

Created by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
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National Institute of Information Technology (NIIT), Neemrana
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10+ Clausius-Clapeyron Equation Calculators

Enthalpy using integrated form of Clausius-Clapeyron Equation
Change in Enthalpy = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/((1/Final Temperature)-(1/Initial Temperature)) Go
Initial Pressure using Integrated Form of Clausius-Clapeyron Equation
Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R])) Go
Final Pressure using integrated form of Clausius-Clapeyron Equation
Final Pressure of System = (exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))*Initial Pressure of System Go
Final Temperature using integrated form of Clausius-Clapeyron Equation
Final Temperature = 1/((-(ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Initial Temperature)) Go
Initial Temperature using integrated form of Clausius-Clapeyron Equation
Initial Temperature = 1/(((ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Final Temperature)) Go
Ratio of vapour pressure using integrated form of Clausius-Clapeyron Equation
Ratio of Vapor Pressure = exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]) Go
Specific latent heat of evaporation of water near standard temperature and pressure
Specific Latent Heat = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure Go
Temperature for transitions
Temperature = -Latent Heat/((ln(Pressure)-Integration constant)* [R]) Go
Pressure for transitions between gas and condensed phase
Pressure = exp(-Latent Heat/([R]*Temperature))+Integration constant Go
August Roche Magnus Formula
Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04)) Go

Specific latent heat of evaporation of water near standard temperature and pressure Formula

Specific Latent Heat = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure
Lspecific = (des/dT*[R]*(T^2))/eS

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 of evaporation of water near standard temperature and pressure?

Specific latent heat of evaporation of water near standard temperature and pressure calculator uses Specific Latent Heat = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure to calculate the Specific Latent Heat, The Specific latent heat of evaporation of water near standard temperature and pressure 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 Lspecific symbol.

How to calculate Specific latent heat of evaporation of water near standard temperature and pressure using this online calculator? To use this online calculator for Specific latent heat of evaporation of water near standard temperature and pressure, enter Slope of Co-existence Curve of Water Vapor (des/dT), Temperature (T) & Saturation Vapor Pressure (eS) and hit the calculate button. Here is how the Specific latent heat of evaporation of water near standard temperature and pressure calculation can be explained with given input values -> 97616.99 = (13*[R]*(85^2))/8.

FAQ

What is Specific latent heat of evaporation of water near standard temperature and pressure?
The Specific latent heat of evaporation of water near standard temperature and pressure 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 Lspecific = (des/dT*[R]*(T^2))/eS or Specific Latent Heat = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure. 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.
How to calculate Specific latent heat of evaporation of water near standard temperature and pressure?
The Specific latent heat of evaporation of water near standard temperature and pressure 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 = (Slope of Co-existence Curve of Water Vapor*[R]*(Temperature^2))/Saturation Vapor Pressure. To calculate Specific latent heat of evaporation of water near standard temperature and pressure, you need Slope of Co-existence Curve of Water Vapor (des/dT), Temperature (T) & Saturation Vapor Pressure (eS). With our tool, you need to enter the respective value for Slope of Co-existence Curve of Water Vapor, Temperature & Saturation Vapor Pressure 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 Slope of Co-existence Curve of Water Vapor, Temperature & Saturation Vapor Pressure. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Specific Latent Heat = (-ln(Final Pressure of System/Initial Pressure of System)*[R])/(((1/Final Temperature)-(1/Initial Temperature))*Molecular Weight)
  • Specific Latent Heat = (Boiling Point*10.5*[R])/Molecular Weight
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