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August–Roche–Magnus formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
saturation_vapour_pressure_at_water_surface = 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, 1 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
exp - Exponential function, exp(Number)
Variables Used
Temperature - Temperature is the degree or intensity of heat present in a substance or object. (Measured in Kelvin)
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 at Water Surface
(Calculation completed in 00.016 seconds)

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August–Roche–Magnus formula Formula

saturation_vapour_pressure_at_water_surface = 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_at_water_surface = 6.1094*exp((17.625*Temperature)/(Temperature+243.04)) to calculate the Saturation Vapour Pressure at Water Surface, The August–Roche–Magnus formula provides a very good approximation of the temperature dependence on saturation vapor pressure. Saturation Vapour Pressure at Water Surface and 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_at_water_surface = 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_at_water_surface = 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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