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Chapter 4: ATOMIC STRUCTURE 1(a) Define or state the (i) Orbital Refers to the region or volume in space surrounding the nucleus where the probability to find the electron is high. An orbital is described by combination of integer and a letter, corresponding to the values of three quantum numbers for the orbitals which are principle quantum numbers denoted as n, the azimuthal quantum numbers denotes as l, the magnetic quantum number ml (ii) Principle quantum number, n Is indicated by integers 1,2…. This quantum numbers related directly to the size and energy of the orbital (iii) Azimuthal quantum number, l Is indicated by the letters s, p, d,f,… correspond to the value of 0, 1, 2, 3.. this quantum number can defines the shape of orbital. (iv) The magnetic quantum number, ml Relates to the orientation of the orbital in the space (v) An electron shell Is the set of all orbitals with the same value of n, eg: 4s 4p 4d 4f (vi) A sub-shell Is the set of one or more orbitals with the same value of n and l values, eg: 4s and 4p are sub-shell of the n = 4. There is one orbital in an s subshell and three in a p sub-shell (vii) Aufbau’ rule States that the electrons must fill orbitals of lowest energy available before orbitals with higher energy are filled (viii) Pauli’s exclusion principle States that for each orbital can accommodate a maximum of two electrons with opposite spin or no two electrons in an atom can have the same set of four quantum numbers n, l, ml and ms (ix) Hund’s rule States that in a set of orbitals of the same energy (degenerate orbitals), electrons will occupy the orbitals singularly first (same spin) before pairing occurs. (x) Electron configuration The way in which the electrons are distributed among the various orbitals of an atom (b) 2 The electronic configuration of a carbon atom is 1s2 2s2 2p2 . Write a complete set of quantum numbers for; [2]/4a (i) The highest energy electron of carbon (2,1,-1,+1/2) or (2,1,0,+1/2) (ii) The lowest energy electron of carbon (1,0,0,+1/2) or (1,0,0,-1/2) (iii) Draw all the orbitals occupied by the valence electrons of carbon atom [3]/4b The following combinations are not allowed. Write the new values of l to create an allowable of angular momentum quantum numbers (l) combination: [4]/4a (a) (b) (c) (d) 3 n= n= n= n= 2; 4; 7; 4; l= l= l= l= 0; 4; 2; 1; ml= ml= ml= ml= -1 +1 +3 -2 l=1 l=1,2 ,3 l=3,4,5,6 l=2,3 Identify the types of orbital given below: Orbital shapes [5]/4c Type S Px, Pz, Py dx2–y2, dxz, dz2, dyx, dxy 4 (a) Write the electronic configuration of chromium according to the Aufbau Principle and the actual configuration observed. [2]/4d According to Aufbau Principle: 1s2 2s2 2p6 3s2 3p6 4s2 3d4 Actual: 1s2 2s2 2p6 3s2 3p6 4s1 3d5 (b) Give a reason for the irregularity. [1] Half-filled orbital (4s1 3d5) is more stable than partially-filled d orbitals. 5 (a) Write the condensed orbital diagram of Cobalt ↿⇂ [Ar] ↿⇂ ↿⇂ ↿ 4s (b) 6 ↿ [1]/4d ↿ 3d State the name of the rule that has to be applied in orbital 3d to determine the answer in 5(a) [1] Hund’s rule Write the orbital diagrams for Na+, O and S. State the number of unpaired electrons in each atoms/ions. [6]/4d Na+ O S ↿⇂ ↿⇂ ↓ 1s 2s ↿⇂ ↿⇂ ↿⇂ ↓ 2p ↓ ↿⇂ ↿⇂ ↓↿⇂ 2 ↿⇂↓ ↿ ↓1s 2s ↓ ↿⇂ ↿⇂ 1s 2s ↓ 2 unpaired electrons↓ No unpaired electron 2 unpaired electrons ↿ 2p ↿⇂ ↓ ↿⇂ 2p↓ ↿⇂ ↿⇂ ↿⇂ ↿ ↓ ↓ 3s ↓ 3p ↓ ↿ 7 Complete the following table by write the condensed electronic configurations for each of the following atoms and identify the number of inner, outer and valence electrons. [10]/4e Element B F V Cu Cr Te 8 Condensed electron configuration [He] 2s2 2p1 [He] 2s2 2p5 [He] 4s2 3p3 [Ar] 4s1 3d10 [He] 4s1 3d5 [Kr] 4d10 5s2 4p4 No of valence electrons 3 7 5 11 6 6 4 d 16 p 1 s State the general electronic configuration for valence electron for lithium, carbon, titanium, neon [4]/4g Lithium =ns1 Carbon= ns2np2 10 No of outer electrons 3 7 2 1 1 2 Complete the following table with identify the group and block of elements that corresponds to each of the following electronic configurations: [5]/4f Electronic configuration Group block 2 10 4 16 p (a)[Ar] 4s 3d 4p (b)[Xe] 6s2 4f14 5d2 (c)[Ne] 3s2 3p4 (d)[Ne]3s1 9 No of inner electrons 2 2 18 18 18 46 titanium= ns2(n-1)d2 neon= ns2np6 Given: P3- , S2- , Cl(a) Describe the similarity between 3 species above [1]/4h Ions with the same number of electrons thus have the same electronic configuration. (b) Arrange the ions in the order of increasing size. [1]/4i Cl- <S2-<P3- (c ) Explain your answer in (b) [2]/4i Generally, when Zeff increased, attraction between valence electron and nucleus increased, thus, size of ions decreased. As consequence, P3-,is the largest species due to weaker attraction between nucleus and valence electron. Meanwhile Cl- largest nuclear charge,thus smallest species due to stronger attraction between nucleus and valence electron Zeff = Z – S where Z = number of proton in the nucleus S = inner-shell electrons For Cl-, 11 Predict, with the reasons, how the radius of the following ions compares with the radius of neon atom. (i) the fluorine ion, F¯ (ii) the magnesium ion, Mg2+ (i) 12 F¯ and Ne are isoelectronic. However, Ne has a greater number of proton compare to F¯. Therefore, the attraction for electrons in Ne (Zeff) in Ne is stronger and consequently the atomic radius of Ne is smaller. (ii) Mg2+ and Ne are isoelectronic. However, Mg2+ has 2 protons more than Ne. Hence, the attraction for electron in Mg2+ is stronger. Moreover, being positively charge, the electrons are more tightly bound. As a result, Mg2+ is smaller than Ne. Calculation of Zeff Zeff for F¯= 9 – 2 = 7 Zeff for Mg2+ = 12 – 10 = 2 Zeff for Ne = 11 – 2 = 9 (a) Arrange the following atoms in order of decreasing atomic radius Nitrogen,Phosphorus,Silicon (b) Si>P>N [1]/4i Explain your answer in (a) [2] N is above P in group 15 and has a lower n. Thus it has a smaller atomic radius than P. P is smaller than Si because of P has greater effective nuclear charge, Zeff than Si. 13 State two factors that influence the IE. [2]/4j i. Principal quantum number, n (number of valence shell) ii. Effective nuclear charge, Zeff 14 Explain the difference in first ionization energy between magnesium and calcium [2]/4k Electronic configuration; Mg: [Ne]3s1 Ca: [Ar]4s1 Mg has larger 1st ionization energy because it has smaller atomic radius than Ca. Valence electron in Ca is located in period 4. Valence electron in Mg feels stronger nucleus attraction than in the Ca atom. Thus, it is harder to remove an electron from Mg atom than in Ca atom. 15 Explain the difference in first ionization energy between phosphorous and sulfur [2]/4k Electronic configuration; P: [Ne] 3s2 3p3 (Half-filled) S: [Ne] 3s2 3p4 (partially-filled) P has half filled 3p sub-shells, which gives greater stability compared to S which has paired electrons in 3p orbital which causes e-e repulsion. P needs more energy to remove an electron thus P has a higher 1st IE+ 16 The first four successive ionization energies of Period 3 element, A is shown below: 4m (a) IE 1 2 3 4 5 (kJmol-1) 786 1580 3230 4360 16000 Identify the group number of A.Explain [2] 4A (14). Because there are a big jump between IE4 and IE5, ,means four electron removed is from outermost shell and indicating that the element has four valence electron. 17 (b) Name the element A carbon (c) The electrons are lost when A atom becomes A3+ ions. Write down the electron configuration of Al 3+ [1] 1s2 2s22p2 [1] An element X has the following successive ionization energies. IE1 1450 IE2 2162 IE3 2962 IE4 5532 4l IE5 10539 (a) Write the general valence electronic configuration for X. ns2 np2 [1] (b) State the group number belongs to X 14 or 4A (c) Write the full electronic configuration for X if X is located in Period 4, [1] 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p2 (d) Give the symbol for X? [1] [1] Ge 18 Given below are the hypothetical values of successive ionization energies of an element R: IE (kJ/mol) 19 2880 4520 9450 53000 64200 66400 (a) Define the ionization energy The minimum energy required to removed 1 mol of electron from an atom in 1 mol of gaseous atom at standard condition (b) Explain why the ionization energies increased with the number of electron removed. The effective nuclear charge increases when successive electrons are removed (c) Determine the group in which of R belongs to. Explain. Group 3A. The first three successive ionization energies shows the steady increased but very extreme increase is observed at the fourth ionization energy. This indicates that the 4th electron requires an extremely high amount of ionization energy as it is situated in the inner shell. Thus, element R has 3 valence electron, it can be concluded that R is a member of Group 3A. Figure 1 shows the first ionization energy against the elements in periods 2 in the periodic table. Explain why the first ionization energy of Be is higher than B. Fig: First ionization energy, kJ/mol against element There is general increase in the first ionization energy with increasing proton umber of the elements. Going across the period from left to the right, the atomic size of the elements are decreases and the effective nuclear charge increases. As the result, the electrons are more tightly bonded to the nucleus and are more difficult to remove. However, the first ionization energy of Be is higher than B due to the first electron to be removed from a fully filled s orbital. The s2 configuration has additional stability, making the electron more difficult to remove compared to B which only have partially filled p orbital. As the result the first ionization energy for Be is higher than expected. 20 (a) Write a balanced chemical equation to represent the first and second electron affinity process for bromine. [2]/4n EA1 : Br (g) + e¯ Br¯ (g) EA2 : Br¯ (g) + e¯ Br2¯ (g) (c) Second electron affinity always has a positive value (an endothermic process). Explain. [2]/4o When an electron is added to a negative ion (anion), a strong repulsion is felt. Thus, heat is absorbed to overcome the electrostatic repulsion between the existing electrons. The energy absorbed > energy released when electron is added thus 2nd EA is always positive.