Total Pressure of Moist Air given Degree of Saturation Calculator

✖Degree of saturation is the ratio of the volume of water to the volume of voids.ⓘ Degree of Saturation [S]			+10% -10%
✖Partial pressure of water vapour in saturated air is obtained from the steam tables corresponding to dry bulb temperature.ⓘ Partial Pressure of Water Vapour in Saturated Air [p_s]			+10% -10%
✖Pressure of Water Vapor is the pressure exerted by the water vapour in the moist air or the mixture of dry air and water vapour.ⓘ Pressure of Water Vapor [p_v]			+10% -10%

✖Total Pressure of Moist Air is the pressure exerted by the mixture of air and water vapour which is equal to the sum of the respected pressures. It is also called barometric pressure.ⓘ Total Pressure of Moist Air given Degree of Saturation [p_t]

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Total Pressure of Moist Air given Degree of Saturation

Formula

`"p"_{"t"} = (("S"-1)*"p"_{"s"}*"p"_{"v"})/("S"*"p"_{"s"}-"p"_{"v"})`

Example

`"104.4976Bar"=(("0.2"-1)*"91Bar"*"60Bar")/("0.2"*"91Bar"-"60Bar")`

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Total Pressure of Moist Air given Degree of Saturation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Pressure of Moist Air = ((Degree of Saturation-1)*Partial Pressure of Water Vapour in Saturated Air*Pressure of Water Vapor)/(Degree of Saturation*Partial Pressure of Water Vapour in Saturated Air-Pressure of Water Vapor)
p_t = ((S-1)*p_s*p_v)/(S*p_s-p_v)
This formula uses 4 Variables

Variables Used

Total Pressure of Moist Air - (Measured in Pascal) - Total Pressure of Moist Air is the pressure exerted by the mixture of air and water vapour which is equal to the sum of the respected pressures. It is also called barometric pressure.
Degree of Saturation - Degree of saturation is the ratio of the volume of water to the volume of voids.
Partial Pressure of Water Vapour in Saturated Air - (Measured in Pascal) - Partial pressure of water vapour in saturated air is obtained from the steam tables corresponding to dry bulb temperature.
Pressure of Water Vapor - (Measured in Pascal) - Pressure of Water Vapor is the pressure exerted by the water vapour in the moist air or the mixture of dry air and water vapour.

STEP 1: Convert Input(s) to Base Unit

Degree of Saturation: 0.2 --> No Conversion Required
Partial Pressure of Water Vapour in Saturated Air: 91 Bar --> 9100000 Pascal (Check conversion here)
Pressure of Water Vapor: 60 Bar --> 6000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_t = ((S-1)*p_s*p_v)/(S*p_s-p_v) --> ((0.2-1)*9100000*6000000)/(0.2*9100000-6000000)

Evaluating ... ...

p_t = 10449760.7655502

STEP 3: Convert Result to Output's Unit

10449760.7655502 Pascal -->104.497607655502 Bar (Check conversion here)

FINAL ANSWER

104.497607655502 ≈ 104.4976 Bar <-- Total Pressure of Moist Air

(Calculation completed in 00.004 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< 5 Degree of Saturation Calculators

Degree of Saturation given Partial Pressure of Water Vapour

Go Degree of Saturation = Pressure of Water Vapor/Partial Pressure of Water Vapour in Saturated Air*(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air)/(1-Pressure of Water Vapor/Total Pressure of Moist Air)

Total Pressure of Moist Air given Degree of Saturation

Go Total Pressure of Moist Air = ((Degree of Saturation-1)*Partial Pressure of Water Vapour in Saturated Air*Pressure of Water Vapor)/(Degree of Saturation*Partial Pressure of Water Vapour in Saturated Air-Pressure of Water Vapor)

Degree of Saturation given Relative Humidity

Go Degree of Saturation = Relative Humidity*(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air)/(1-(Relative Humidity*Partial Pressure of Water Vapour in Saturated Air)/Total Pressure of Moist Air)

Partial Pressure of Water Vapor in Saturated Air given Degree of Saturation

Go Partial Pressure of Water Vapour in Saturated Air = (1/Total Pressure of Moist Air+Degree of Saturation/Pressure of Water Vapor*(1-Pressure of Water Vapor/Total Pressure of Moist Air))^(-1)

Degree of Saturation given Specific Humidity

Go Degree of Saturation = Specific Humidity/Specific Humidity of Saturated Air

Total Pressure of Moist Air given Degree of Saturation Formula

What is degree of saturation?

The degree of saturation is defined as the ratio of actual humidity ratio or specific humidity to the humidity ratio or specific humidity of a saturated mixture at the same temperature and pressure.

How to Calculate Total Pressure of Moist Air given Degree of Saturation?

Total Pressure of Moist Air given Degree of Saturation calculator uses Total Pressure of Moist Air = ((Degree of Saturation-1)*Partial Pressure of Water Vapour in Saturated Air*Pressure of Water Vapor)/(Degree of Saturation*Partial Pressure of Water Vapour in Saturated Air-Pressure of Water Vapor) to calculate the Total Pressure of Moist Air, The Total pressure of moist air given degree of saturation formula calculate the barometric pressure which is equal to the sum of partial pressures exerted by dry air and water vapor. Total Pressure of Moist Air is denoted by p_t symbol.

How to calculate Total Pressure of Moist Air given Degree of Saturation using this online calculator? To use this online calculator for Total Pressure of Moist Air given Degree of Saturation, enter Degree of Saturation (S), Partial Pressure of Water Vapour in Saturated Air (p_s) & Pressure of Water Vapor (p_v) and hit the calculate button. Here is how the Total Pressure of Moist Air given Degree of Saturation calculation can be explained with given input values -> 0.001045 = ((0.2-1)*9100000*6000000)/(0.2*9100000-6000000).

FAQ

What is Total Pressure of Moist Air given Degree of Saturation?

The Total pressure of moist air given degree of saturation formula calculate the barometric pressure which is equal to the sum of partial pressures exerted by dry air and water vapor and is represented as p_t = ((S-1)*p_s*p_v)/(S*p_s-p_v) or Total Pressure of Moist Air = ((Degree of Saturation-1)*Partial Pressure of Water Vapour in Saturated Air*Pressure of Water Vapor)/(Degree of Saturation*Partial Pressure of Water Vapour in Saturated Air-Pressure of Water Vapor). Degree of saturation is the ratio of the volume of water to the volume of voids, Partial pressure of water vapour in saturated air is obtained from the steam tables corresponding to dry bulb temperature & Pressure of Water Vapor is the pressure exerted by the water vapour in the moist air or the mixture of dry air and water vapour.

How to calculate Total Pressure of Moist Air given Degree of Saturation?

The Total pressure of moist air given degree of saturation formula calculate the barometric pressure which is equal to the sum of partial pressures exerted by dry air and water vapor is calculated using Total Pressure of Moist Air = ((Degree of Saturation-1)*Partial Pressure of Water Vapour in Saturated Air*Pressure of Water Vapor)/(Degree of Saturation*Partial Pressure of Water Vapour in Saturated Air-Pressure of Water Vapor). To calculate Total Pressure of Moist Air given Degree of Saturation, you need Degree of Saturation (S), Partial Pressure of Water Vapour in Saturated Air (p_s) & Pressure of Water Vapor (p_v). With our tool, you need to enter the respective value for Degree of Saturation, Partial Pressure of Water Vapour in Saturated Air & Pressure of Water Vapor 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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