The image above represents monochromatic emissive power. To calculate monochromatic emissive power, five essential parameters are needed and these parameters are Planck’s Constant (h), Velocity of Light (c), Wavelength (λ), Boltzmann’s Constant (KB) and Temperature (T).
The formula for calculating monochromatic emissive power:
ebx = 2Ï€hc²λ-5 / exp(ch/KBλT) – 1
Where:
ebx = Monochromatic Emissive Power | Planck’s Equation
h = Planck’s Constant
c = Velocity of Light
λ = Wavelength
KBÂ = Boltzmann’s Constant
T = Temperature
Let’s solve an example;
Find the monochromatic emissive power when the planck’s constant is 6.626E-24, the velocity of light is 3E8, the wavelength is 22, the boltzmann’s constant is 1.380E-23 and the temperature is 10.
This implies that;
h = Planck’s Constant = 6.626E-24
c = Velocity of Light = 3E8
λ = Wavelength = 22
KB = Boltzmann’s Constant = 1.380E-23
T = Temperature = 10
ebx = 2Ï€hc²λ-5 / exp(ch/KBλT) – 1
ebx = 2Ï€(6.62607004e-34)(300000000)²(22)-5 / exp((300000000)(6.62607004e-34)/(1.38064852e-23)(22)(10)) – 1
That is, ebx = 2Ï€(6.62607004e-34)(90000000000000000)(1.94037e-7) / exp(1.987821012e-25/3.037426744e-21) – 1
ebx = 7.270512005456302e-23 / exp(0.00006544424539379114) – 1
ebx = 7.270512005456302e-23 / 1.0000654463869152 – 1
So, ebx = 7.270512005456302e-23 / 0.00006544638691519111
ebx = 1.11e-18
Therefore, the monochromatic emissive power is 1.11e-18.
Read more:Â How to Calculate and Solve for Stefan Boltzmann’s Constant | Radiation Heat Transfer
How to Calculate Monochromatic Emissive Power | Radiation Heat Transfer
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the monochromatic emissive power.
To get the answer and workings of the monochromatic emissive power 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
Master Every Calculation Instantly
Unlock solutions for every math, physics, engineering, and chemistry problem with step-by-step clarity. No internet required. Just knowledge at your fingertips, anytime, anywhere.
To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Radiation Heat Transfer under Materials and Metallurgical
Now, Click on Monochromatic Emissive Power under Radiation Heat Transfer
The screenshot below displays the page or activity to enter your values, to get the answer for the monochromatic emissive power according to the respective parameter which is the Planck’s Constant (h), Velocity of Light (c), Wavelength (λ), Boltzmann’s Constant (KB) and Temperature (T).
Now, enter the values appropriately and accordingly for the parameters as required by the Planck’s Constant (h) is 6.626E-34, Velocity of Light (c) is 3E8, Wavelength (λ) is 22, Boltzmann’s Constant (KB) is 1.380E-23 and Temperature (T) is 10.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the monochromatic emissive power and presents the formula, workings and steps too.
