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August Roche Magnus Formula Calculator

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✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]
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✖Saturation Vapour Pressure at Water Surface (mm of mercury) is defined as the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature.ⓘ August Roche Magnus Formula [es]
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August Roche Magnus Formula

Formula
`"e"_{"s"} = 6.1094*exp((17.625*"T")/("T"+243.04))`

Example
`"587.9994Pa"=6.1094*exp((17.625*"85K")/("85K"+243.04))`

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August Roche Magnus Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))
es = 6.1094*exp((17.625*T)/(T+243.04))
This formula uses 1 Functions, 2 Variables
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Saturation Vapour Pressure - (Measured in Pascal) - Saturation Vapour Pressure at Water Surface (mm of mercury) is defined as the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature.
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
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
es = 6.1094*exp((17.625*T)/(T+243.04)) --> 6.1094*exp((17.625*85)/(85+243.04))
Evaluating ... ...
es = 587.999382826267
STEP 3: Convert Result to Output's Unit
587.999382826267 Pascal --> No Conversion Required
FINAL ANSWER
587.999382826267 ≈ 587.9994 Pascal <-- Saturation Vapour Pressure
(Calculation completed in 00.004 seconds)
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Home » Chemistry » Solution and Colligative properties » Clausius-Clapeyron Equation » August Roche Magnus Formula

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Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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20 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))
Initial Pressure using Integrated Form of Clausius-Clapeyron Equation
Go Initial Pressure of System = Final Pressure of System/(exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R]))
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))
Initial Temperature using Integrated Form of Clausius-Clapeyron Equation
Go Initial Temperature = 1/(((ln(Final Pressure of System/Initial Pressure of System)*[R])/Latent Heat)+(1/Final 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)
Temperature in Evaporation of Water near Standard Temperature and Pressure
Go Temperature = sqrt((Specific Latent Heat*Saturation Vapor Pressure)/(Slope of Co-existence Curve of Water Vapor*[R]))
Ratio of Vapour Pressure using Integrated Form of Clausius-Clapeyron Equation
Go Ratio of Vapor Pressure = exp(-(Latent Heat*((1/Final Temperature)-(1/Initial Temperature)))/[R])
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
Temperature for Transitions
Go Temperature = -Latent Heat/((ln(Pressure)-Integration Constant)*[R])
Pressure for Transitions between Gas and Condensed Phase
Go Pressure = exp(-Latent Heat/([R]*Temperature))+Integration Constant
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))
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
Boiling Point using Trouton's Rule given Latent Heat
Go Boiling Point = Latent Heat/(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]

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]

August Roche Magnus Formula Formula

Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04))
es = 6.1094*exp((17.625*T)/(T+243.04))

Why the water-holding capacity of the atmosphere increases 7% for every 1 °C rise in temperature?

Under typical atmospheric conditions, the denominator of the exponent depends weakly on T (for which the unit is Celsius). Therefore, the August–Roche–Magnus equation implies that saturation water vapor pressure changes approximately exponentially with temperature under typical atmospheric conditions, and hence the water-holding capacity of the atmosphere increases by about 7% for every 1 °C rise in temperature.

How to Calculate August Roche Magnus Formula?

August Roche Magnus Formula calculator uses Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04)) to calculate the Saturation Vapour Pressure, The August Roche Magnus formula provides a very good approximation of the temperature dependence on saturation vapor pressure. Saturation Vapour Pressure is denoted by es symbol.

How to calculate August Roche Magnus Formula using this online calculator? To use this online calculator for August Roche Magnus Formula, enter Temperature (T) and hit the calculate button. Here is how the August Roche Magnus Formula calculation can be explained with given input values -> 587.9994 = 6.1094*exp((17.625*85)/(85+243.04)).

FAQ

What is August Roche Magnus Formula?
The August Roche Magnus formula provides a very good approximation of the temperature dependence on saturation vapor pressure and is represented as es = 6.1094*exp((17.625*T)/(T+243.04)) or Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04)). Temperature is the degree or intensity of heat present in a substance or object.
How to calculate August Roche Magnus Formula?
The August Roche Magnus formula provides a very good approximation of the temperature dependence on saturation vapor pressure is calculated using Saturation Vapour Pressure = 6.1094*exp((17.625*Temperature)/(Temperature+243.04)). To calculate August Roche Magnus Formula, you need Temperature (T). With our tool, you need to enter the respective value for Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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