It requires 222 kJ/mol to eject electrons from potassium metal. (a) What is the

Question

It requires 222 kJ/mol to eject electrons from potassium metal. (a) What is the minimum frequency of light necessary to emit electrons from potassium via the photoelectric effect? (b) What is the wavelength of this light? (c) If potassium is irradiated with light of 350 nm, what is the maximum possible kinetic energy of the emitted electrons? How many orbitals are represented in an atom by the following designations? (a) p_x (b) 4d (c) 2s (d) 5f (e) 2d Which of the following are allowed sets of quantum numbers in an atom? (a) n = 3, 1 = 1, m_1 = - 1; (b) n=3, 1 = 1, m_1 = 2; (c) n = 2, 1 = 2, m_1 = 0 (d) n = 9, 1 = 0, m_1 = 0; (e) n = 4, 1 = -2, m_1 = 1 For those combinations that are allowed, write the appropriate designation for the subshell to, which the orbital belongs, such as 1s, etc... How many electrons in Antimony, Sb, have the quantum number (a) 1 = 2, (b) m_1 = 0, (c) n = 3 Although no currently known elements contain electrons in the g orbitals in the ground state, it is possible that these elements will be found or that electrons in excited states of known elements could populate the g orbitals. For g orbitals, the value for 1 = 4. (a) What is the lowest possible value for n, for which g orbitals could exists? (b) What are the possible values for m_1? (c) How many electrons could a set of g orbitals hold?

Explanation / Answer

8)

Possible Quantum numbers

For principal quantum number

0,1,2,....n

Angular momentum quantum number

l = 0,1,2,3,....(n-1)

Magnetic quantum number

ml = -l , (- l +1),....-1, 0, 1, .... , (l-1), l

possible or l = 0,1

ml = -1 , 0, 1

n =2 l =1 ml = 1

is possible

so for n=3 l =1 ml = 2 is not possible

so n =2 l =2 ml =0 is not possible

Answer is a)

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