Dry Bulb Temperature using Carrier's Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
tdb = ((pw-pv)*(1544-1.44*Tw)/(pt-pw))+Tw
This formula uses 5 Variables
Variables Used
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.
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 vapor in the moist air or the mixture of dry air and water vapor.
Wet Bulb Temperature - Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.
Total Pressure of Moist Air - (Measured in Pascal) - Total Pressure of Moist Air is the pressure exerted by the mixture of air and water vapor which is equal to the sum of the respected pressures. It is also called barometric pressure.
STEP 1: Convert Input(s) to Base Unit
Saturation Pressure Corresponding to WBT: 200 Bar --> 20000000 Pascal (Check conversion ​here)
Pressure of Water Vapor: 60 Bar --> 6000000 Pascal (Check conversion ​here)
Wet Bulb Temperature: 753 --> No Conversion Required
Total Pressure of Moist Air: 100 Bar --> 10000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tdb = ((pw-pv)*(1544-1.44*Tw)/(pt-pw))+Tw --> ((20000000-6000000)*(1544-1.44*753)/(10000000-20000000))+753
Evaluating ... ...
tdb = 109.448
STEP 3: Convert Result to Output's Unit
109.448 --> No Conversion Required
FINAL ANSWER
109.448 <-- Dry Bulb Temperature in °C
(Calculation completed in 00.020 seconds)

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Created by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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Pressure of Water Vapor Calculators

Wet Bulb Temperature using Carrier's Equation
​ LaTeX ​ 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
​ LaTeX ​ 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)))
Dry Bulb Temperature using Carrier's Equation
​ LaTeX ​ 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
​ LaTeX ​ 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)

Dry Bulb Temperature using Carrier's Equation Formula

​LaTeX ​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
tdb = ((pw-pv)*(1544-1.44*Tw)/(pt-pw))+Tw

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 Dry Bulb Temperature using Carrier's Equation?

Dry Bulb Temperature using Carrier's Equation calculator uses 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 to calculate the Dry Bulb Temperature in °C, The Dry Bulb Temperature using Carrier's equation formula calculates the dry bulb temperature by using the carrier's equation which is a relation among partial pressure of water vapor, dry bulb temperature, and wet bulb temperature. Dry Bulb Temperature in °C is denoted by tdb symbol.

How to calculate Dry Bulb Temperature using Carrier's Equation using this online calculator? To use this online calculator for Dry Bulb Temperature using Carrier's Equation, enter Saturation Pressure Corresponding to WBT (pw), Pressure of Water Vapor (pv), Wet Bulb Temperature (Tw) & Total Pressure of Moist Air (pt) and hit the calculate button. Here is how the Dry Bulb Temperature using Carrier's Equation calculation can be explained with given input values -> -2119.376 = ((20000000-6000000)*(1544-1.44*753)/(10000000-20000000))+753.

FAQ

What is Dry Bulb Temperature using Carrier's Equation?
The Dry Bulb Temperature using Carrier's equation formula calculates the dry bulb temperature by using the carrier's equation which is a relation among partial pressure of water vapor, dry bulb temperature, and wet bulb temperature and is represented as tdb = ((pw-pv)*(1544-1.44*Tw)/(pt-pw))+Tw or 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. 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 vapor in the moist air or the mixture of dry air and water vapor, Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw & Total Pressure of Moist Air is the pressure exerted by the mixture of air and water vapor which is equal to the sum of the respected pressures. It is also called barometric pressure.
How to calculate Dry Bulb Temperature using Carrier's Equation?
The Dry Bulb Temperature using Carrier's equation formula calculates the dry bulb temperature by using the carrier's equation which is a relation among partial pressure of water vapor, dry bulb temperature, and wet bulb temperature is calculated using 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. To calculate Dry Bulb Temperature using Carrier's Equation, you need Saturation Pressure Corresponding to WBT (pw), Pressure of Water Vapor (pv), Wet Bulb Temperature (Tw) & Total Pressure of Moist Air (pt). With our tool, you need to enter the respective value for Saturation Pressure Corresponding to WBT, Pressure of Water Vapor, Wet Bulb Temperature & Total Pressure of Moist Air 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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