Which statements are true for an electron in the 1s orbital of hydrogen ? 1. The...

Which statements are true for an electron in the 1s orbital of hydrogen ?

1. The potential energy of the electron is negative.

2. The total energy of the electron is constant.

3. The kinetic energy of the electron is positive.

Expert Solution

1.The hydrogen atom represents the simplest possible atom, since it consists of only one proton and one electron. The electron is bound, or confined. Its potential energy function U(r) expresses its electrostatic potential energy as a function of its distance r from the proton.

U(r) = -q²/(4πε₀r) = -e²/r..Here e² is defined as q²/(4πε₀). In SI unit 1/(4πε₀) = 9*10⁹ Nm²/C², and q = 1.6*10^-19 C.

The figure on the right shows the shape of U(r) in a plane containing the origin. The potential energy is chosen to be zero at infinity. The electron in the hydrogen atom is confined in the potential well, and its total energy is negative. TRue

2.

E_n = -me⁴/(2ħ²n²) = -13.6 eV/n².

Here n is called the principle quantum number. The values E_n are the possible value for the total electron in the hydrogen atom..

3.The average potential energy is -me⁴/(ħ²n²) and the average kinetic energy is me⁴/(2ħ²n²).True

queen_honey_blossom answered 2 years ago

Calculate the most probable value of r for an electron in a hydrogen 1s orbital.

What is the most probable location for an electron in a 1S orbital

Which of the following statements about atomic orbitals is false? a. A 1s orbital is spherically...

Which of the following statements about atomic orbitals is false? a. A 1s orbital is spherically symmetrical. b. An atomic orbital may contain zero, one, or two electrons. c. A 2s orbital and a 2p orbital are equal in energy. d. A 2px orbital and a 2py orbital are equal in energy. e. A 2p orbital is not spherically symmetrical.

Calculate the probability of finding an electron in a 1s orbital outside of the first Bohr...

Calculate the probability of finding an electron in a 1s orbital outside of the first Bohr orbit (a0).

Consider a hydrogen atom with its electron in the nth orbital.

Consider a hydrogen atom with its electron in the nth orbital. Electromagnetic radiation of wavelength 90 nm is used to ionize the atom. If the kinetic energy of the ejected electron is 10.4 eV, then the value of n is (hc = 1242 eV nm).

Which of the following statements is TRUE? A. An orbital that penetrates into the region occupied...

Which of the following statements is TRUE? A. An orbital that penetrates into the region occupied by core electrons is less shielded from nuclear charge than an orbital that does not penetrate and therefore has a lower energy. B. An orbital that penetrates into the region occupied by core electrons is more shielded from nuclear charge than an orbital that does not penetrate and therefore has a lower energy. C. It is possible for two electrons in the same atom...

LCAO: Determine which of the following statements are true of a 2p atomic orbital Which of...

LCAO: Determine which of the following statements are true of a 2p atomic orbital Which of the following statements are true of a 2p atomic orbital? You may find the Orbitron page for the 2p orbital useful. 1. The wavefunction Ψ has the same sign at all points. 2. The orbital possesses an inversion center. 3. Any radial line that starts at the nucleus and travels outward will always encounter a single point where the wavefunction Ψ has a value...

Which one of the following statements concerning the electron in the ground state in a hydrogen...

Which one of the following statements concerning the electron in the ground state in a hydrogen atom is true within the quantum mechanical model of the atom? The ground state electron has zero binding energy. The ground state electron has zero ionization energy. The ground state electron has zero kinetic energy. The ground state electron has zero orbital angular momentum. The ground state electron has zero spin angular momentum.

a) If the electron in a hydrogen atom jumps from the 4s orbital to a 2p orbital, will it emit light or will it absorb light?

a) If the electron in a hydrogen atom jumps from the 4s orbital to a 2p orbital, will it emit light or will it absorb light?b) What wavelength will it emit or absorb?

Which of the following electronic transitions are allowed in the hydrogen atom? a.) 2s --> 1s...

Which of the following electronic transitions are allowed in the hydrogen atom? a.) 2s --> 1s b.) 2p--> 1s c.) 3d-->2p d.) 3s-->5d e.) 3s--> 5p

Question