Total Energy of Electron given Atomic Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit)
EeV_AN = -(Z*([Charge-e]^2))/(2*rorbit)
This formula uses 1 Constants, 3 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
Variables Used
Total Energy of Atom given AN - (Measured in Joule) - Total Energy of Atom given AN is the energy consumed by the body when measured in electron volts.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
Radius of Orbit - (Measured in Meter) - Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.
STEP 1: Convert Input(s) to Base Unit
Atomic Number: 17 --> No Conversion Required
Radius of Orbit: 100 Nanometer --> 1E-07 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
EeV_AN = -(Z*([Charge-e]^2))/(2*rorbit) --> -(17*([Charge-e]^2))/(2*1E-07)
Evaluating ... ...
EeV_AN = -2.18192443342343E-30
STEP 3: Convert Result to Output's Unit
-2.18192443342343E-30 Joule --> No Conversion Required
FINAL ANSWER
-2.18192443342343E-30 -2.2E-30 Joule <-- Total Energy of Atom given AN
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Verified by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
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16 Electrons & Orbits Calculators

Change in Wave Number of Moving Particle
Go Wave Number of moving Particle = 1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)/((Final Quantum Number^2)*(Initial Quantum Number^2))
Change in Wavelength of Moving Particle
Go Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2))
Total Energy of Electron in nth Orbit
Go Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2)))
Velocity of Electron in Bohr's Orbit
Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])
Energy Gap between Two Orbits
Go Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Velocity of Electron given Time Period of Electron
Go Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron
Total Energy of Electron given Atomic Number
Go Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit)
Potential Energy of Electron given Atomic Number
Go Potential Energy in Ev = (-(Atomic Number*([Charge-e]^2))/Radius of Orbit)
Energy of Electron in Final Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Final Quantum Number^2)))
Velocity of Electron in Orbit given Angular Velocity
Go Velocity of Electron given AV = Angular Velocity*Radius of Orbit
Energy of Electron in Initial Orbit
Go Energy of Electron in Orbit = (-([Rydberg]/(Initial Orbit^2)))
Total Energy of Electron
Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2
Atomic Mass
Go Atomic Mass = Total Mass of Proton+Total Mass of Neutron
Number of Electrons in nth Shell
Go Number of Electrons in nth Shell = (2*(Quantum Number^2))
Number of Orbitals in nth Shell
Go Number of Orbitals in nth Shell = (Quantum Number^2)
Orbital Frequency of Electron
Go Orbital Frequency = 1/Time Period of Electron

Total Energy of Electron given Atomic Number Formula

Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit)
EeV_AN = -(Z*([Charge-e]^2))/(2*rorbit)

What is Bohr's model?

Bohr's Theory is a theory of atomic structure in which the hydrogen atom (Bohr atom ) is assumed to consist of a proton as nucleus, with a single electron moving in distinct circular orbits around it, each orbit corresponding to a specific quantized energy state: the theory was extended to other atoms.

How to Calculate Total Energy of Electron given Atomic Number?

Total Energy of Electron given Atomic Number calculator uses Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit) to calculate the Total Energy of Atom given AN, The Total energy of electron given atomic number is defined as the sum of kinetic energy and potential energy consumed by a moving particle when it moves from one point to another. Total Energy of Atom given AN is denoted by EeV_AN symbol.

How to calculate Total Energy of Electron given Atomic Number using this online calculator? To use this online calculator for Total Energy of Electron given Atomic Number, enter Atomic Number (Z) & Radius of Orbit (rorbit) and hit the calculate button. Here is how the Total Energy of Electron given Atomic Number calculation can be explained with given input values -> -2.2E-30 = -(17*([Charge-e]^2))/(2*1E-07).

FAQ

What is Total Energy of Electron given Atomic Number?
The Total energy of electron given atomic number is defined as the sum of kinetic energy and potential energy consumed by a moving particle when it moves from one point to another and is represented as EeV_AN = -(Z*([Charge-e]^2))/(2*rorbit) or Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit). Atomic Number is the number of protons present inside the nucleus of an atom of an element & Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.
How to calculate Total Energy of Electron given Atomic Number?
The Total energy of electron given atomic number is defined as the sum of kinetic energy and potential energy consumed by a moving particle when it moves from one point to another is calculated using Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit). To calculate Total Energy of Electron given Atomic Number, you need Atomic Number (Z) & Radius of Orbit (rorbit). With our tool, you need to enter the respective value for Atomic Number & Radius of Orbit 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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