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 Constants, 1 Functions, 2 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
exp - Exponential function, 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 -->4.41037025266848 Millimeter Mercury (0°C) (Check conversion here)
FINAL ANSWER
4.41037025266848 Millimeter Mercury (0°C) <-- Saturation Vapour Pressure
(Calculation completed in 00.016 seconds)

Credits

Created by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
Prerana Bakli has created this Calculator and 800+ more calculators!
Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has verified this Calculator and 900+ more calculators!

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

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 -> 4.41037 = 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.
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!