Total Pressure of Moist Air using Carrier's Equation Calculator

✖Saturation Pressure Corresponding to WBT (Wet Bulb Temperature) is the pressure that can be found from the steam table corresponding to wet bulb temperature.ⓘ Saturation Pressure Corresponding to WBT [p_w]			+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%
✖Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.ⓘ Wet Bulb Temperature [T_w]			+10% -10%
✖Dry bulb temperature in °C is the temperature of air measured by a thermometer freely exposed to the air but shielded from radiation and moisture.ⓘ Dry Bulb Temperature in °C [t_db]			+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 using Carrier's Equation [p_t]

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Formula

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Total Pressure of Moist Air using Carrier's Equation

Formula

`"p"_{"t"} = (("p"_{"w"}-"p"_{"v"})*(1544-1.44*"T"_{"w"}))/("t"_{"db"}-"T"_{"w"})+"p"_{"w"}`

Example

`"144.3667Bar"=(("65Bar"-"60Bar")*(1544-1.44*"14"))/("110"-"14")+"65Bar"`

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Total Pressure of Moist Air using Carrier's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Pressure of Moist Air = ((Saturation Pressure Corresponding to WBT-Pressure of Water Vapor)*(1544-1.44*Wet Bulb Temperature))/(Dry Bulb Temperature in °C-Wet Bulb Temperature)+Saturation Pressure Corresponding to WBT
p_t = ((p_w-p_v)*(1544-1.44*T_w))/(t_db-T_w)+p_w
This formula uses 5 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.
Saturation Pressure Corresponding to WBT - (Measured in Pascal) - Saturation Pressure Corresponding to WBT (Wet Bulb Temperature) is the pressure that can be found from the steam table corresponding to wet 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.
Wet Bulb Temperature - Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.
Dry Bulb Temperature in °C - Dry bulb temperature in °C is the temperature of air measured by a thermometer freely exposed to the air but shielded from radiation and moisture.

STEP 1: Convert Input(s) to Base Unit

Saturation Pressure Corresponding to WBT: 65 Bar --> 6500000 Pascal (Check conversion here)
Pressure of Water Vapor: 60 Bar --> 6000000 Pascal (Check conversion here)
Wet Bulb Temperature: 14 --> No Conversion Required
Dry Bulb Temperature in °C: 110 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_t = ((p_w-p_v)*(1544-1.44*T_w))/(t_db-T_w)+p_w --> ((6500000-6000000)*(1544-1.44*14))/(110-14)+6500000

Evaluating ... ...

p_t = 14436666.6666667

STEP 3: Convert Result to Output's Unit

14436666.6666667 Pascal -->144.366666666667 Bar (Check conversion here)

FINAL ANSWER

144.366666666667 ≈ 144.3667 Bar <-- Total Pressure of Moist Air

(Calculation completed in 00.004 seconds)

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Created by Ravi Khiyani

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

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National Institute Of Technology (NIT), Hamirpur

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< 5 Pressure of Water Vapor Calculators

Wet Bulb Temperature using Carrier's Equation

Go Wet Bulb Temperature = (1544*(Saturation Pressure Corresponding to WBT-Pressure of Water Vapor)-Dry Bulb Temperature in °C*(Total Pressure of Moist Air-Saturation Pressure Corresponding to WBT))/(1.44*(Saturation Pressure Corresponding to WBT-Pressure of Water Vapor)-(Total Pressure of Moist Air-Saturation Pressure Corresponding to WBT))

Saturation Pressure Corresponding to Wet Bulb Temperature

Go Saturation Pressure Corresponding to WBT = (Pressure of Water Vapor+Total Pressure of Moist Air*((Dry Bulb Temperature in °C-Wet Bulb Temperature)/(1544-1.44*Wet Bulb Temperature)))/(1+((Dry Bulb Temperature in °C-Wet Bulb Temperature)/(1544-1.44*Wet Bulb Temperature)))

Total Pressure of Moist Air using Carrier's Equation

Go Total Pressure of Moist Air = ((Saturation Pressure Corresponding to WBT-Pressure of Water Vapor)*(1544-1.44*Wet Bulb Temperature))/(Dry Bulb Temperature in °C-Wet Bulb Temperature)+Saturation Pressure Corresponding to WBT

Dry Bulb Temperature using Carrier's Equation

Go Dry Bulb Temperature in °C = ((Saturation Pressure Corresponding to WBT-Pressure of Water Vapor)*(1544-1.44*Wet Bulb Temperature)/(Total Pressure of Moist Air-Saturation Pressure Corresponding to WBT))+Wet Bulb Temperature

Partial Pressure of Water Vapor

Go Pressure of Water Vapor = Saturation Pressure Corresponding to WBT-((Total Pressure of Moist Air-Saturation Pressure Corresponding to WBT)*(Dry Bulb Temperature in °C-Wet Bulb Temperature))/(1544-1.44*Wet Bulb Temperature)

Total Pressure of Moist Air using Carrier's Equation Formula

What is dry bulb tempearture?

The Dry Bulb Temperature refers basically to the ambient air temperature. It is called "Dry Bulb" because the air temperature is indicated by a thermometer not affected by the moisture of the air. When people refer to the temperature of the air they are normally referring to the dry bulb temperature.

How to Calculate Total Pressure of Moist Air using Carrier's Equation?

Total Pressure of Moist Air using Carrier's Equation calculator uses Total Pressure of Moist Air = ((Saturation Pressure Corresponding to WBT-Pressure of Water Vapor)*(1544-1.44*Wet Bulb Temperature))/(Dry Bulb Temperature in °C-Wet Bulb Temperature)+Saturation Pressure Corresponding to WBT to calculate the Total Pressure of Moist Air, The Total Pressure of Moist Air using Carrier's Equation formula calculates the barometric pressure or total pressure of moist air using the relation between partial pressures and temperatures called carrier's equation. Total Pressure of Moist Air is denoted by p_t symbol.

How to calculate Total Pressure of Moist Air using Carrier's Equation using this online calculator? To use this online calculator for Total Pressure of Moist Air using Carrier's Equation, enter Saturation Pressure Corresponding to WBT (p_w), Pressure of Water Vapor (p_v), Wet Bulb Temperature (T_w) & Dry Bulb Temperature in °C (t_db) and hit the calculate button. Here is how the Total Pressure of Moist Air using Carrier's Equation calculation can be explained with given input values -> 0.001444 = ((6500000-6000000)*(1544-1.44*14))/(110-14)+6500000.

FAQ

What is Total Pressure of Moist Air using Carrier's Equation?

The Total Pressure of Moist Air using Carrier's Equation formula calculates the barometric pressure or total pressure of moist air using the relation between partial pressures and temperatures called carrier's equation and is represented as p_t = ((p_w-p_v)*(1544-1.44*T_w))/(t_db-T_w)+p_w or Total Pressure of Moist Air = ((Saturation Pressure Corresponding to WBT-Pressure of Water Vapor)*(1544-1.44*Wet Bulb Temperature))/(Dry Bulb Temperature in °C-Wet Bulb Temperature)+Saturation Pressure Corresponding to WBT. Saturation Pressure Corresponding to WBT (Wet Bulb Temperature) is the pressure that can be found from the steam table corresponding to wet 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, Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw & Dry bulb temperature in °C is the temperature of air measured by a thermometer freely exposed to the air but shielded from radiation and moisture.

How to calculate Total Pressure of Moist Air using Carrier's Equation?

The Total Pressure of Moist Air using Carrier's Equation formula calculates the barometric pressure or total pressure of moist air using the relation between partial pressures and temperatures called carrier's equation is calculated using Total Pressure of Moist Air = ((Saturation Pressure Corresponding to WBT-Pressure of Water Vapor)*(1544-1.44*Wet Bulb Temperature))/(Dry Bulb Temperature in °C-Wet Bulb Temperature)+Saturation Pressure Corresponding to WBT. To calculate Total Pressure of Moist Air using Carrier's Equation, you need Saturation Pressure Corresponding to WBT (p_w), Pressure of Water Vapor (p_v), Wet Bulb Temperature (T_w) & Dry Bulb Temperature in °C (t_db). With our tool, you need to enter the respective value for Saturation Pressure Corresponding to WBT, Pressure of Water Vapor, Wet Bulb Temperature & Dry Bulb Temperature in °C 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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