M(g) Consider the following ionization steps: M(g) M (g) + e¯; AH = 100 eV - M²+(g) + 2e; AH = 250 eV Select the correct statement(s) - (A) (IE), of M(g) is 100 eV (B) (IE), of M+(g) is 150 eV (C) (IE), of M(g) is 150 eV (D) (IE), of M(g) is 250 eV
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![M(g)
Consider the following ionization steps:
M(g) M (g) + e¯; AH = 100 eV
-
M²+(g) + 2e; AH = 250 eV
Select the correct statement(s) -
(A) (IE), of M(g) is 100 eV
(B)
(IE), of M+(g) is 150 eV
(C) (IE), of M(g) is 150 eV
(D)
(IE), of M(g) is 250 eV](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdac25d58-853a-4d37-b57a-9c76cc951958%2F9ad0658d-3f23-4cd1-ad4a-e76d6543affa%2Fmphq5qn_processed.jpeg&w=3840&q=75)
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- 2.9 Vibrations in crystals. (a) Calculate the average vibrational energy per mole for Si at 400 K to within the limits of the Einstein theory. Let VẸ = 12 x 1012 s-1, (b) If each atom carried three quanta of vibrational energy, how much vibrational energy would the crystal contain?5. (a) Use the hydrogen-like model z2 (in eV) En --13.6 to calculate the total energy of the three electrons of lithium (Li), which has the electron configuration: 1s? 2s'. The three ionization energies for Li(g) are: IE, = 5.392 ev; IE2 = 75.64 eV; IE = 122.5 ev. With the help of Koopman's theorem, what is the total energy of ropulsion between lithium's three electrons (in kJ mol')?(c) The kinetic energy, Kr, of electrons emitted from a metal surface after irradiation with UV light of wavelength λ is given by: hc K₁=-=- where h is Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 x 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface. (i) Calculate the photon energy of the light used in the experiment, in Joules. (II) The work function for cadmium is 4.08 eV. Calculate the kinetic energy of the emitted electrons. [Note: 1 eV = 1.60 x 10-19 J.)
- a) Under equilibrium condition, what is the probability of an electron state beingoccupied if it is located at the Fermi level?(b) If EF is positioned at Ec , determine the probability of finding electrons in states atEc + kT. (A numerical answer is required.)(c) The probability of a state being filled at Ec + kT is equal to the probability of astate being empty at Ec + 3 kT. Where is the Fermi level located?wavel 7A.2(b) Calculate the energy per photon and the energy per mole of photons for radiation of wavelength (i) 200 nm (ultraviolet), (ii) 150 pm (X-ray), (iii) 1.00 cm (microwave). 7A.8(b of 100 7A.3(a) Calculate the sneed to whi-ha stationary H atom uould h 7A.9(aThe sum of IE1through IE₄ for Group 4A(14) elements shows a decrease from C to Si, a slight increase from Si to Ge, adecrease from Ge to Sn, and an increase from Sn to Pb. (a) What is the expected trend for IEs down a group? (b) Suggest a reason for the deviations in Group 4A(14).(c) Which group might show even greater deviations?
- (a) What is the lowest possible value of the principal quantum number (n) when the angular momentum quantum number (ℓ) is 1? (b) What are the possible values of the angular momentum quantum number (ℓ) when the principal quantum number (n) is 4 and the magnetic quantum number (mℓ) is 0?8C.4 (a) the moment of inertia of a CH4 molecule is 5.27 x 10^-47 kg m^2. What is the minimum energy needed to start it rotating? 8C.5 (a) use the data in 8C.4 (a) to calculate the energy needed excite a CH4 molecule from a state with l=1 to a state with l=218.1 An electron in the ground-state He* ion undergoes a transition to a state specified by the quantum numbers n= 4, 1=1, m,=+1. (a) Describe the transition using term symbols. (b) Calculate the wavelength, frequency, and wavenumber of the transition. (c) By how much does the mean radius of the electron change due to the transition? You need to know that the mean radius of a hydrogenic orbital is n’a 1+회 I(1+1) 1-
- (c) The kinetic energy, KE, of electrons emitted from a metal surface after irradiation with UV light of wavelength A is given by: hc Kε = 7-9 where h is Planck's constant (6.626 x 10-4 Js), c is the speed of light in a vacuum (2.99 x 108 m s¹), and is the work function of the metal surface. In a specific experiment, light with a wavelength of 266 nm was used to irradiate a cadmium (Cd) metal surface. Calculate the photon energy of the light used in the experiment, in Joules. (1) ₂4What is the orbital angular momentum (as multiples of hbar)of an electron in the orbitals (a) 4d (b) 2p (c) 3p? Provide the numbers of angular and radial nodes in each case.(a) What are the possible values for mℓ when the principal quantum number (n) is 2 and the angular momentum quantum number (ℓ) is 0? (b) What are the possible values for mℓ when the principal quantum number (n) is 3 and the angular momentum quantum number (ℓ) is 2?
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