planck’s constant

How to Calculate and Solve for Wavelength | Optical Properties

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The wavelength is illustrated by the image below.

To compute for wavelength, three essential parameters are needed and these parameters are Planck’s Constant (h), Speed of Light (c) and Energy Gap (Eg).

The formula for calculating wavelength:

λ = hc/Eg

Where:

λ = Wavelength (Eg)
h = Planck’s Constant
c = Speed of Light
Eg = Energy Gap

Given an example;
Find the wavelength when the planck’s constant is 6.626E-24, the speed of light is 3E8 and the energy gap is 24.

This implies that;

h = Planck’s Constant = 6.626E-24
c = Speed of Light = 3E8
Eg = Energy Gap = 24

λ = hc/Eg
λ = (6.62607004e-24)(300000000)/24
λ = 1.987821012e-15/24
λ = 8.28e-17

Therefore, the wavelength is 8.28e-17m.

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How to Calculate and Solve for Energy of Electromagnetic Radiation | Optical Properties

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The energy of electromagnetic radiation is illustrated by the image below.

To compute for energy of electromagnetic radiation, two essential parameters are needed and these parameters are Planck’s Constant (h) and Frequency (f).

The formula for calculating the energy of electromagnetic radiation:

E = hf

Where:

E = Energy of Electromagnetic Radiation
h = Planck’s Constant
f = Frequency

Given an example;
Find the energy of electromagnetic radiation when the planck’s constant is 6.62607004e-34 and the frequency is 20.

This implies that;

h = Planck’s Constant = 6.62607004e-34
f = Frequency = 20

E = hf
E = (6.62607004e-34)(20)
E = 1.325214008e-32

Therefore, the energy of electromagnetic radiation is 1.325214008e-32 J.

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How to Calculate and Solve for Eyring Equation for Predicting Area | Transport Phenomena

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The image above represents eyring equation for predicting area.

To compute for eyring equation for predicting area, three essential parameters are needed and these parameters are Avogadro’s Number (NA), Planck’s Constant (h) and Molar Volume (V).

The formula for calculating eyring equation for predicting area:

A ≋ NAh / V

Where:

A = Eyring Equation for Predicting Area
NA = Avogadro’s Number
h = Planck’s Constant
V = Molar Volume

Let’s solve an example;
Find the eyring equation for predicting area when the avogadro’s number is 6.023e+23. the planck’s constant is 6.626e-34 and the molar volume is 15.

This implies that;

NA = Avogadro’s Number = 6.023e+23
h = Planck’s Constant = 6.626e-34
V = Molar Volume = 15

A = NAh / V
A = (6.023e+23)(6.626e-34) / 15
A = 3.99e-10 / 15
A = 2.66e-11

Therefore, the eyring equation for predicting area is 2.66e-11 m².

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How to Calculate and Solve for Stefan Boltzmann’s Constant | Radiation Heat Transfer

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The image above represents stefan boltzmann’s constant.

To compute for stefan boltzmann’s constant, three essential parameters are needed and these parameters are Boltzmann’s Constant (KB), Planck’s Constant (h) and Speed of Light (c).

The formula for calculating stefan boltzmann’s constant:

σ = 2π5KB4 / 15c²h5

Where:

σ = Stefan Boltzmann’s Constant
KB = Boltzmann’s Constant
h = Planck’s Constant
c = Speed of Light

Let’s solve an example;
Find the stefan boltzmann’s constant when the boltzmann’s constant is 42, the planck’s constant is 34 and the speed of light is 26.

This implies that;

KB = Boltzmann’s Constant = 42
h = Planck’s Constant = 34
c = Speed of Light = 26

σ = 2π5KB4 / 15c²h5
σ = 2π5(42)4 / 15(26)²(34)5
σ = 2(306.019)(3111696) / 15(676)(45435424)
σ = 1904480458.135 / 460715199360
σ = 0.00413

Therefore, the stefan boltzmann’s constant is 0.00413.

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