How to Calculate and Solve for Enthalpy of Superheated Steam | Enthalpy
Last Updated on April 25, 2022
The image above represents enthalpy of superheated steam.
To compute for enthalpy of superheated steam, five essential parameters are needed and these parameters are Constant Pressure (Cps), Enthalpy of Water (hf), Enthalpy of Vapourization (hfg), Superheated Temprature (Tsup) and Saturated Temprature (Ts).
The formula for calculating enthalpy of superheated steam:
hsup = hf + hfg + Cps(Tsup – Ts)
Where:
hsup = Enthalpy of Superheated Steam
Cps = Constant Pressure
hf = Enthalpy of Water
hfg = Enthalpy of Vapourization
Tsup = Superheated Temprature
Ts = Saturated Temprature
Let’s solve an example;
Given that the constant pressure is 2, the enthalpy of water is 4, the enthalpy of vapourization is 6, the superheated temperature is 8 and the saturated temperatue is 10. Find the enthalpy of superheated steam?
This implies that;
Cps = Constant Pressure = 2
hf = Enthalpy of Water = 4
hfg = Enthalpy of Vapourization = 6
Tsup = Superheated Temprature = 8
Ts = Saturated Temprature = 10
hsup = hf + hfg + Cps(Tsup – Ts)
hsup = 4 + 6 + 2 x (8 – 10)
hsup = 10 + 2 x (-2)
hsup = 10 + (-4)
hsup = 6
Therefore, the enthalpy of superheated steam is 6 J/Kg.
Calculating the Constant Pressure when the Enthalpy of Superheatred Steam, the Enthalpy of Water, the Enthalpy of Vapourization, the Superheated Temperature and the Saturated Temperature is Given.
Cps = hsup – hf – hfg / Tsup + Ts
Where:
Cps = Constant Pressure
hsup = Enthalpy of Superheated Steam
hf = Enthalpy of Water
hfg = Enthalpy of Vapourization
Tsup = Superheated Temprature
Ts = Saturated Temprature
Let’s solve an example;
Find the Constant Pressure when the enthalpy of superheated steam is 30, the enthalpy of water is 10, the enthalpy of vapourization is 4, the superheated temperature is 8 and the saturated temperature is 2.
This implies that;
hsup = Enthalpy of Superheated Steam = 30
hf = Enthalpy of Water = 10
hfg = Enthalpy of Vapourization = 4
Tsup = Superheated Temprature = 8
Ts = Saturated Temprature = 2
Cps = hsup – hf – hfg / Tsup + Ts
Cps = 30 – 10 – 4 / 8 + 2
Cps = 16 / 10
Cps = 1.6
Therefore, the constant pressure is 1.6.
Calculating the Enthalpy of Water when the Enthalpy of Superheated Steam, the Constant Pressure, the Enthalpy of Vapourization, the Superheated Temperature and the Saturated Temperature is Given.
hf = hsup – hfg – Cps(Tsup – Ts)
Where:
hf = Enthalpy of Water
hsup = Enthalpy of Superheated Steam
Cps = Constant Pressure
hfg = Enthalpy of Vapourization
Tsup = Superheated Temprature
Ts = Saturated Temprature
Let’s solve an example;
Find the enthalpy of water when the enthalpy of superheated steam is 42, the constant pressure is 18, the enthalpy of vapourization is 12, the superheated temperature is 10 and the saturated temperature is 4.
This implies that;
hsup = Enthalpy of Superheated Steam = 42
Cps = Constant Pressure = 18
hfg = Enthalpy of Vapourization = 12
Tsup = Superheated Temprature = 10
Ts = Saturated Temprature = 4
hf = hsup – hfg – Cps(Tsup – Ts)
hf = 42 – 12 – 18(10 – 4)
hf = 30 – 18(6)
hf = 30 – 108
hf = -78
Therefore, the enthalpy of water is -78 J/Kg.
Calculating the Enthalpy of Vapourization when the Enthalpy of Superheated Steam, the Constant Pressure, the Enthalpy of Water, the Superheated Temperature and the Saturated Temperature is Given.
hfg = hsup – hf – Cps(Tsup – Ts)
Where:
hfg = Enthalpy of Vapourization
hsup = Enthalpy of Superheated Steam
Cps = Constant Pressure
hf = Enthalpy of Water
Tsup = Superheated Temprature
Ts = Saturated Temprature
Let’s solve an example;
Find the enthalpy of vapourization when the enthalpy of superheated steam is 44, the constant pressure is 38, the enthalpy of water is 24, the superheated temperature is 20 and the saturated temperature is 14.
This implies that;
hsup = Enthalpy of Superheated Steam = 44
Cps = Constant Pressure = 38
hf = Enthalpy of Water = 24
Tsup = Superheated Temprature = 20
Ts = Saturated Temprature = 14
hfg = hsup – hf – Cps(Tsup – Ts)
hfg = 44 – 24 – 38(20 – 14)
hfg = 20 – 38(6)
hfg = 20 – 228
hfg = – 208
Therefore, the enthalpy of vapourization is – 208 J/Kg.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the enthalpy of superheated steam.
To get the answer and workings of the enthalpy of superheated steam using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
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Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Chemical Reaction Thermodynamics under Materials and Metallurgical
Now, Click on Enthalpy under Chemical Reaction Thermodynamics
Now, Click on Enthalpy of Superheated Steam under Enthalpy
The screenshot below displays the page or activity to enter your values, to get the answer for the enthalpy of superheated steam according to the respective parameter which is the Constant Pressure (Cps), Enthalpy of Water (hf), Enthalpy of Vapourization (hfg), Superheated Temprature (Tsup) and Saturated Temprature (Ts).
Now, enter the values appropriately and accordingly for the parameters as required by the Constant Pressure (Cps) is 2, Enthalpy of Water (hf) is 4, Enthalpy of Vapourization (hfg) is 6, Superheated Temprature (Tsup) is 8 and Saturated Temprature (Ts) is 10.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the enthalpy of superheated steam and presents the formula, workings and steps too.