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Total Energy of Electron in nth Orbit Formula

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Total Energy of Atom given nth Orbital is the energy consumed by the body when measured in electron volts. Check FAQs

E eV_orbital = (- \frac{[Mass-e] \cdot ({[Charge-e]}^{4}) \cdot (Z^{2})}{8 \cdot ({[Permitivity-vacuum]}^{2}) \cdot ({n quantum}^{2}) \cdot ({[hP]}^{2})})

E_{eV_orbital} - Total Energy of Atom given nth Orbital?Z - Atomic Number?n_quantum - Quantum Number?[Mass-e] - Mass of electron?[Charge-e] - Charge of electron?[Permitivity-vacuum] - Permittivity of vacuum?[hP] - Planck constant?

Total Energy of Electron in nth Orbit Example

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Here is how the Total Energy of Electron in nth Orbit equation looks like with Values.

Here is how the Total Energy of Electron in nth Orbit equation looks like with Units.

Here is how the Total Energy of Electron in nth Orbit equation looks like.

-9.9E-18 = (- \frac{9.1E-31 \cdot ({1.6E-19}^{4}) \cdot (17^{2})}{8 \cdot ({8.9E-12}^{2}) \cdot (8^{2}) \cdot ({6.6E-34}^{2})})

-9.9E-18J = (- \frac{9.1E-31kg \cdot ({1.6E-19C}^{4}) \cdot (17^{2})}{8 \cdot ({8.9E-12F/m}^{2}) \cdot (8^{2}) \cdot ({6.6E-34}^{2})})

-9.9E-18 = (- \frac{9.1E-31 \cdot ({1.6E-19}^{4}) \cdot (17^{2})}{8 \cdot ({8.9E-12}^{2}) \cdot (8^{2}) \cdot ({6.6E-34}^{2})})

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Total Energy of Electron in nth Orbit Solution

Follow our step by step solution on how to calculate Total Energy of Electron in nth Orbit?

FIRST Step Consider the formula

E eV_orbital = (- \frac{[Mass-e] \cdot ({[Charge-e]}^{4}) \cdot (Z^{2})}{8 \cdot ({[Permitivity-vacuum]}^{2}) \cdot ({n quantum}^{2}) \cdot ({[hP]}^{2})})

Next Step Substitute values of Variables

∴

E eV_orbital = (- \frac{[Mass-e] \cdot ({[Charge-e]}^{4}) \cdot (17^{2})}{8 \cdot ({[Permitivity-vacuum]}^{2}) \cdot (8^{2}) \cdot ({[hP]}^{2})})

Next Step Substitute values of Constants

∴

E eV_orbital = (- \frac{9.1E-31kg \cdot ({1.6E-19C}^{4}) \cdot (17^{2})}{8 \cdot ({8.9E-12F/m}^{2}) \cdot (8^{2}) \cdot ({6.6E-34}^{2})})

Next Step Prepare to Evaluate

∴

E eV_orbital = (- \frac{9.1E-31 \cdot ({1.6E-19}^{4}) \cdot (17^{2})}{8 \cdot ({8.9E-12}^{2}) \cdot (8^{2}) \cdot ({6.6E-34}^{2})})

Next Step Evaluate

∴

E eV_orbital = -9.85280402362298E-18J

LAST Step Rounding Answer

∴

E eV_orbital = -9.9E-18J

Total Energy of Electron in nth Orbit Formula Elements

Variables

Constants

Total Energy of Atom given nth Orbital

Total Energy of Atom given nth Orbital is the energy consumed by the body when measured in electron volts.

Symbol: E_{eV_orbital}

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Total Energy of Atom given nth Orbital

Atomic Number

Atomic Number is the number of protons present inside the nucleus of an atom of an element.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Atomic Number

Quantum Number

Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

Symbol: n_quantum

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quantum Number

Mass of electron

Mass of electron is a fundamental physical constant, representing the amount of matter contained within an electron, an elementary particle with a negative electric charge.

Symbol: [Mass-e]

Value: 9.10938356E-31 kg

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Permittivity of vacuum

Permittivity of vacuum is a fundamental physical constant that describes the ability of a vacuum to permit the transmission of electric field lines.

Symbol: [Permitivity-vacuum]

Value: 8.85E-12 F/m

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Other formulas in Electrons and Orbits category

Go Total Energy of Electron

E total = - 1.085 \cdot \frac{{(Z)}^{2}}{{(n quantum)}^{2}}

Go Velocity of Electron in Bohr's Orbit

v e_BO = \frac{{[Charge-e]}^{2}}{2 \cdot [Permitivity-vacuum] \cdot n quantum \cdot [hP]}

Go Orbital Frequency of Electron

f orbital = \frac{1}{T}

Go Potential Energy of Electron given Atomic Number

PE = (- \frac{Z \cdot ({[Charge-e]}^{2})}{r orbit})

How to Evaluate Total Energy of Electron in nth Orbit?

Total Energy of Electron in nth Orbit evaluator uses Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2))) to evaluate the Total Energy of Atom given nth Orbital, The Total energy of electron in nth orbit 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 nth Orbital is denoted by E_{eV_orbital} symbol.

How to evaluate Total Energy of Electron in nth Orbit using this online evaluator? To use this online evaluator for Total Energy of Electron in nth Orbit, enter Atomic Number (Z) & Quantum Number (n_quantum) and hit the calculate button.

FAQs on Total Energy of Electron in nth Orbit

What is the formula to find Total Energy of Electron in nth Orbit?

The formula of Total Energy of Electron in nth Orbit is expressed as Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2))). Here is an example- -9.9E-18 = (-([Mass-e]*([Charge-e]^4)*(17^2))/(8*([Permitivity-vacuum]^2)*(8^2)*([hP]^2))).

How to calculate Total Energy of Electron in nth Orbit?

With Atomic Number (Z) & Quantum Number (n_quantum) we can find Total Energy of Electron in nth Orbit using the formula - Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2))). This formula also uses Mass of electron, Charge of electron, Permittivity of vacuum, Planck constant .

Can the Total Energy of Electron in nth Orbit be negative?

Yes, the Total Energy of Electron in nth Orbit, measured in Energy can be negative.

Which unit is used to measure Total Energy of Electron in nth Orbit?

Total Energy of Electron in nth Orbit is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Total Energy of Electron in nth Orbit can be measured.

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Total Energy of Electron in nth Orbit Formula

Total Energy of Electron in nth Orbit Example

Total Energy of Electron in nth Orbit Solution

Total Energy of Electron in nth Orbit Formula Elements

Other formulas in Electrons and Orbits category

How to Evaluate Total Energy of Electron in nth Orbit?

FAQs on Total Energy of Electron in nth Orbit

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