Modified Heat of Vaporization Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modified Heat of Vaporization = (Latent Heat of Vaporization+(Specific Heat of Water Vapour)*((Plate Surface Temperature-Saturated Temperature)/2))
λ = (hfg+(cpv)*((Tw-TSat)/2))
This formula uses 5 Variables
Variables Used
Modified Heat of Vaporization - (Measured in Joule per Kilogram) - Modified Heat of Vaporization is defined as the heat required to change one mole of liquid at its boiling point under standard atmospheric pressure.
Latent Heat of Vaporization - (Measured in Joule per Kilogram) - Latent Heat of Vaporization is defined as the heat required to change one mole of liquid at its boiling point under standard atmospheric pressure.
Specific Heat of Water Vapour - (Measured in Joule per Kilogram per K) - Specific heat of Water Vapour is the heat required to raise the temperature of water vapor by one degree to that required to raise the temperature of an equal mass of water one degree.
Plate Surface Temperature - (Measured in Kelvin) - Plate Surface Temperature is the temperature at the surface of the plate.
Saturated Temperature - (Measured in Kelvin) - Saturated temperature is the temperature at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given pressure.
STEP 1: Convert Input(s) to Base Unit
Latent Heat of Vaporization: 2260000 Joule per Kilogram --> 2260000 Joule per Kilogram No Conversion Required
Specific Heat of Water Vapour: 23.5 Joule per Kilogram per K --> 23.5 Joule per Kilogram per K No Conversion Required
Plate Surface Temperature: 82 Kelvin --> 82 Kelvin No Conversion Required
Saturated Temperature: 373 Kelvin --> 373 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λ = (hfg+(cpv)*((Tw-TSat)/2)) --> (2260000+(23.5)*((82-373)/2))
Evaluating ... ...
λ = 2256580.75
STEP 3: Convert Result to Output's Unit
2256580.75 Joule per Kilogram --> No Conversion Required
FINAL ANSWER
2256580.75 Joule per Kilogram <-- Modified Heat of Vaporization
(Calculation completed in 00.016 seconds)

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Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
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20 Boiling and Condensation Formulas Calculators

Film Thickness in Film Condensation
Go Film Thickness = ((4*Viscosity of Film*Thermal Conductivity*Height of Film*(Saturated Temperature-Plate Surface Temperature))/([g]*Latent Heat of Vaporization*(Density of Liquid)*(Density of Liquid-Density of Vapor)))^(0.25)
Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid
Go Radius of Vapor Bubble = (2*Surface Tension*[R]*(Saturated Temperature^2))/(Pressure of Superheated Liquid*Enthalpy of Vaporization of Liquid*(Temperature of Superheated Liquid-Saturated Temperature))
Reynolds Number using Average Heat Transfer Coefficient for Condensate Film
Go Reynolds Number of Film = ((4*Average Heat Transfer Coefficient*Length of Plate* (Saturated Temperature-Plate Surface Temperature))/ (Latent Heat of Vaporization*Viscosity of Film))
Radiation Heat Transfer Coefficient
Go Radiation Heat Transfer Coefficient = (([Stefan-BoltZ]*Emissivity*(((Plate Surface Temperature)^4)-((Saturated Temperature)^4)))/(Plate Surface Temperature-Saturated Temperature))
Total Heat Transfer Coefficient
Go Total Heat Transfer Coefficient = Heat Transfer Coefficient in Film Boiling Region* ((Heat Transfer Coefficient in Film Boiling Region/Heat Transfer Coefficient)^(1/3))+Radiation Heat Transfer Coefficient
Film Thickness given Mass Flow of Condensate
Go Film Thickness = ((3*Viscosity of Film*Mass Flow Rate)/(Density of Liquid*(Density of Liquid-Density of Vapor)*[g]))^(1/3)
Mass Flow of Condensate through any X Position of Film
Go Mass Flow Rate = Density of Liquid*(Density of Liquid-Density of Vapor)*[g]*(Film Thickness^3)/(3*Viscosity of Film)
Viscosity of Film given Mass Flow of Condensate
Go Viscosity of Film = Density of Liquid*(Density of Liquid-Density of Vapor)*[g]*(Film Thickness^3)/(3*Mass Flow Rate)
Modified Heat of Vaporization
Go Modified Heat of Vaporization = (Latent Heat of Vaporization+(Specific Heat of Water Vapour)*((Plate Surface Temperature-Saturated Temperature)/2))
Energy Balance for Non-linear Temperature Profile in Film
Go New Latent Heat of Vaporization = (Latent Heat of Vaporization+0.68*Specific Heat Capacity*(Saturated Temperature-Plate Surface Temperature))
Modified Heat Transfer Coefficient under Influence of Pressure
Go Heat Transfer Coefficient at Some Pressure P = (Heat Transfer Coefficient at Atmospheric Pressure)*((System Pressure/Standard Atmospheric Pressure)^(0.4))
Viscosity of Film given Reynolds Number of Film
Go Viscosity of Fluid = (4*Mass Flow of Condensate)/(Wetted Perimeter*Reynolds Number of Film)
Wetted Perimeter given Reynolds Number of Film
Go Wetted Perimeter = (4*Mass Flow of Condensate)/(Reynolds Number of Film*Viscosity of Fluid)
Reynolds Number for Condensate Film
Go Reynolds Number of Film = (4*Mass Flow of Condensate)/(Wetted Perimeter*Viscosity of Fluid)
Mass Flow Rate of Condensate Film given Reynolds Number of Film
Go Mass Flow of Condensate = (Reynolds Number of Film*Wetted Perimeter*Viscosity of Fluid)/4
Corelation for Forced Convection Local Boiling Inside Vertical Tubes
Go Heat Transfer Coefficient = (2.54*((Excess Temperature)^3)*exp((Pressure)/1.551))
Heat Transfer Coefficient given Biot Number
Go Heat Transfer Coefficient = (Biot Number*Thermal Conductivity)/Thickness of Wall
Saturated Temperature given Excess Temperature
Go Saturated Temperature = Surface Temperature-Excess Temperature in Heat Transfer
Surface Temperature given Excess Temperature
Go Surface Temperature = Saturated Temperature+Excess Temperature in Heat Transfer
Excess Temperature in Boiling
Go Excess Temperature in Heat Transfer = Surface Temperature-Saturated Temperature

Modified Heat of Vaporization Formula

Modified Heat of Vaporization = (Latent Heat of Vaporization+(Specific Heat of Water Vapour)*((Plate Surface Temperature-Saturated Temperature)/2))
λ = (hfg+(cpv)*((Tw-TSat)/2))

What is Heat Transfer?

Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy between physical systems. Heat transfer is classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation, and transfer of energy by phase changes.

Define Thermal Conductivity & Factors affecting it?

Thermal conductivity is defined as the ability of a substance to conduct heat. Factors Affecting The Thermal Conductivity are: Moisture, Density of material, Pressure, Temperature & Structure of material.

How to Calculate Modified Heat of Vaporization?

Modified Heat of Vaporization calculator uses Modified Heat of Vaporization = (Latent Heat of Vaporization+(Specific Heat of Water Vapour)*((Plate Surface Temperature-Saturated Temperature)/2)) to calculate the Modified Heat of Vaporization, The Modified Heat of Vaporization formula is defined as the function of latent heat of vapourization, specific heat of water vapor, plate surface temperature and saturated temperature. Modified Heat of Vaporization is denoted by λ symbol.

How to calculate Modified Heat of Vaporization using this online calculator? To use this online calculator for Modified Heat of Vaporization, enter Latent Heat of Vaporization (hfg), Specific Heat of Water Vapour (cpv), Plate Surface Temperature (Tw) & Saturated Temperature (TSat) and hit the calculate button. Here is how the Modified Heat of Vaporization calculation can be explained with given input values -> 2.3E+6 = (2260000+(23.5)*((82-373)/2)).

FAQ

What is Modified Heat of Vaporization?
The Modified Heat of Vaporization formula is defined as the function of latent heat of vapourization, specific heat of water vapor, plate surface temperature and saturated temperature and is represented as λ = (hfg+(cpv)*((Tw-TSat)/2)) or Modified Heat of Vaporization = (Latent Heat of Vaporization+(Specific Heat of Water Vapour)*((Plate Surface Temperature-Saturated Temperature)/2)). Latent Heat of Vaporization is defined as the heat required to change one mole of liquid at its boiling point under standard atmospheric pressure, Specific heat of Water Vapour is the heat required to raise the temperature of water vapor by one degree to that required to raise the temperature of an equal mass of water one degree, Plate Surface Temperature is the temperature at the surface of the plate & Saturated temperature is the temperature at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given pressure.
How to calculate Modified Heat of Vaporization?
The Modified Heat of Vaporization formula is defined as the function of latent heat of vapourization, specific heat of water vapor, plate surface temperature and saturated temperature is calculated using Modified Heat of Vaporization = (Latent Heat of Vaporization+(Specific Heat of Water Vapour)*((Plate Surface Temperature-Saturated Temperature)/2)). To calculate Modified Heat of Vaporization, you need Latent Heat of Vaporization (hfg), Specific Heat of Water Vapour (cpv), Plate Surface Temperature (Tw) & Saturated Temperature (TSat). With our tool, you need to enter the respective value for Latent Heat of Vaporization, Specific Heat of Water Vapour, Plate Surface Temperature & Saturated 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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