Li2+ ion consists of a point-like nucleus of charge +3e and a single electron whose average...

Li2+ ion consists of a point-like nucleus of charge +3e and a single electron whose average distance from the nucleus is 5 ́ 10-11 m. The electron kinetic energy is, on average, half as large as the electric potential energy of the nucleus-electron system (ignoring signs). a) What is the value of the electric potential, due to the nucleus, at the location of the electron, when the latter is at its average distance from the nucleus? b) What is the electric potential energy (including sign) of the nucleus-electron system when the electron is at its average distance from the nucleus? c) How fast does the electron move when it’s at its average distance from the nucleus? d) How much work is required (of some non-electric external force) to completely remove the electron? e) If the electron were removed, how much work would the electric field do during the removal process?

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

An electron in a multi-electron atom is partially shielded from the full charge of the nucleus...

An electron in a multi-electron atom is partially shielded from the full charge of the nucleus by other electrons, and this leads to the idea of an effective nuclear charge Zeff. For example, for the Li atom where the true charge is Z=3, quantum calculations give an effective nuclear charge of 2.69 for the 1s electrons, and 1.28 for the 2s electron. Use the first and second ionization energies given below to estimate Zeff for the 2s and 1s electrons...

Absorption lines An atom in which a single electron is bound to a nucleus with a...

Absorption lines An atom in which a single electron is bound to a nucleus with a ? positive charge absorbs radiation from the ground state at the wavelengths ?1=25.63 nm, ?2=24.30 nm and ?3=23.73 nm. What is its nuclear charge number and what transitions have occurred?

The He+ ion contains only one electron and is therefore a hydrogen-like ion. Calculate the wavelengths...

The He+ ion contains only one electron and is therefore a hydrogen-like ion. Calculate the wavelengths of the first four transitions in the Balmer series of the He+ ion. List your answers in increasing transition order by entering the wavelength that corresponds to the first transition on the left. (The Rydberg constant for He is 4.39 × 107 m−1 and the Rydberg constant for H is 1.097 × 107 m−1) Calculate these wavelengths for the same transitions in an H...

In which orbital below would an electron (on average) be farthest from the nucleus?

In which orbital below would an electron (on average) be farthest from the nucleus? A) 3d B) 2p C) 1s D) 4f E) 3s

A helium ion with a single electron (denoted He+) is in an excited state with radius...

A helium ion with a single electron (denoted He+) is in an excited state with radius the same as that of the ground state of hydrogen. (a) What is n for the He1+ ion? (b) How much energy in eV is needed to ionize the ion from this excited state? eV

A cobalt ion with a single electron (denoted Co26+) is in an excited state with radius...

A cobalt ion with a single electron (denoted Co26+) is in an excited state with radius the same as that of the ground state of hydrogen. (a) What is n for the Co26+ ion? (b) How much energy in eV is needed to ionize the ion from this excited state? eV

A scandium ion with a single electron (denoted Sc20+) is in an excited state with radius...

A scandium ion with a single electron (denoted Sc20+) is in an excited state with radius the same as that of the ground state of hydrogen. (a) What is n for the Sc20+ ion? (b) How much energy in eV is needed to ionize the ion from this excited state? eV

Let us model an electron not as a point charge, but as a sphere of radius...

Let us model an electron not as a point charge, but as a sphere of radius R over whose surface the the charge −1.6 × 10−19 C is distributed uniformly. (a) Calculate the energy density u(r) of the electric field at all points in space (i.e., both inside and outside the sphere). (b) Calculate the total energy associated with the electron’s field. There are at least two equivalent ways to do this: (1) You can integrate the energy density directly,...

Does the sign of the charge of an elementary particle, like an electron or proton, is...

Does the sign of the charge of an elementary particle, like an electron or proton, is a more, or less, fundamental property than the "sign" of its symmetry?

A point charge q is located at the center of a cube whose sides are of...

A point charge q is located at the center of a cube whose sides are of length a. If there are no other charges in this system, what is the electric flux through one face of the cube?

Subjects