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Total Energy of Electron given Atomic Number Calculator

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✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%
✖Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.ⓘ Radius of Orbit [r_orbit]			+10% -10%

✖Total Energy of Atom given AN is the energy consumed by the body when measured in electron volts.ⓘ Total Energy of Electron given Atomic Number [E_{eV_AN}]

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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)
E_{eV_AN} = -(Z*([Charge-e]^2))/(2*r_orbit)
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

E_{eV_AN} = -(Z*([Charge-e]^2))/(2*r_orbit) --> -(17*([Charge-e]^2))/(2*1E-07)

Evaluating ... ...

E_{eV_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)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Indian Institute of Technology (IIT), Kanpur

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< Electrons and Orbits Calculators

Velocity of Electron in Bohr's Orbit

LaTeX Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])

Potential Energy of Electron given Atomic Number

LaTeX Go Potential Energy in Ev = (-(Atomic Number*([Charge-e]^2))/Radius of Orbit)

Total Energy of Electron

LaTeX Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2

Orbital Frequency of Electron

LaTeX Go Orbital Frequency = 1/Time Period of Electron

Total Energy of Electron given Atomic Number Formula

LaTeX Go

Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit)
E_{eV_AN} = -(Z*([Charge-e]^2))/(2*r_orbit)

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 E_{eV_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 (r_orbit) 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 E_{eV_AN} = -(Z*([Charge-e]^2))/(2*r_orbit) 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 (r_orbit). 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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