Home / IB DP Chemistry Topic 3.2 Periodic trends SL Paper 2

IB DP Chemistry Topic 3.2 Periodic trends SL Paper 2

Question

The properties of elements can be predicted from their position in the periodic table.

(i) Explain why Si has a smaller atomic radius than Al.  [2]

(ii) Explain the decrease in radius from Na to Na+.[2]

▶️Answer/Explanation

Ans

 i. 

nuclear charge/number of protons/Z/Zeff increases «causing a stronger pull on the outer electrons» ✓
same number of shells/«outer» energy level/shielding ✓

ii.

Na+ has one less energy level/shell
OR
Na+ has 2 energy levels/shells AND Na has 3 ✓
less shielding «in Na+ so valence electrons  attracted more strongly to nucleus»
OR
effective nuclear charge/Zeff greater «in Na+ so valence electrons attracted more strongly to nucleus» ✓

Detailed Solution:

i.

The atomic radius of an element is determined by several factors, including the number of protons in the nucleus and the electron configuration. In the case of silicon (Si) and aluminum (Al), Si has a smaller atomic radius than Al due to the following reasons:

Effective nuclear charge: The effective nuclear charge experienced by the electrons in an atom increases as the number of protons in the nucleus increases. Si has 14 protons, while Al has 13 protons. Therefore, Si has a higher effective nuclear charge than Al, which tends to pull the electrons closer to the nucleus and results in a smaller atomic radius.

Electron shielding: The presence of inner electron shells between the nucleus and the outermost electrons provides electron shielding, reducing the attraction between the nucleus and the outermost electrons. Silicon has more inner electron shells (2, 8, 4) compared to aluminum (2, 8, 3). The additional electron shell in Si provides increased shielding, which counteracts the attraction from the nucleus, resulting in a larger decrease in atomic radius.

ii.

When sodium (Na) loses an electron to form a sodium ion (Na+), the atomic radius decreases. This decrease in radius can be explained by the following factors:

Loss of an electron: Sodium has an atomic number of 11, which means it has 11 electrons in its neutral state. When it loses one electron to become a Na+ ion, it has 10 electrons. The removal of an electron reduces the electron-electron repulsion in the outermost electron shell, allowing the remaining electrons to be pulled closer to the nucleus. As a result, the atomic radius decreases.

Increased effective nuclear charge: The loss of an electron in sodium results in a decrease in the number of electrons, while the number of protons in the nucleus remains the same. This reduction in the number of electrons leads to an increase in the effective nuclear charge experienced by the remaining electrons. The increased attraction from the nucleus causes the electron cloud to contract, resulting in a smaller atomic radius.

Decreased electron-electron repulsion: In a neutral sodium atom, the 11 electrons experience mutual repulsion due to their negative charges. When an electron is lost, the repulsive forces among the electrons decrease. With fewer electrons, the remaining ones experience a reduced repulsion, allowing them to move closer to the nucleus, thereby decreasing the atomic radius.

Loss of electron shell: The lost electron in the formation of Na+ comes from the outermost electron shell of sodium. The removal of this electron shell leads to a contraction of the electron cloud towards the nucleus, reducing the atomic radius.

Question

a.i.Define the term isotopes.[1]

a.ii.A sample of silicon contains three isotopes.

Calculate the relative atomic mass of silicon using this data.[2]

a.iii.Describe the structure and bonding in silicon dioxide and iv.carbon dioxide.[4]
 
b.i.Draw the Lewis structure of NH3, state its shape and deduce and ii.explain the H–N–H bond angle in \({\text{N}}{{\text{H}}_{\text{3}}}\).[4]
 
b.iii.The graph below shows the boiling points of the hydrides of group 5. Discuss the variation in the boiling points.[4]

 
c.Explain, using diagrams, why i.CO is a polar molecule. ii. \({\text{N}}{{\text{O}}_{\text{2}}}\) is a polar molecule. iii. \({\text{C}}{{\text{O}}_{\text{2}}}\) is a non-polar molecule.[5]
▶️Answer/Explanation

Markscheme

a.i. atoms of the same element with the same atomic number/Z/same number of protons, but different mass numbers/A/different number of neutrons;

a.ii.

\((0.9223 \times 28) + (0.0468 \times 29) + (0.0309 \times 30)\);

28.1/28.11;

Working must be shown to get [2], do not accept 28.09 on its own (given in the data booklet).

a.iii.

Silicon dioxide

single covalent (bonds);

network/giant covalent/ macromolecular / repeating tetrahedral units;

a.iv.

Carbon dioxide

double covalent (bonds);

(simple / discrete) molecular;

Marks may be obtained from suitable structural representations of SiO2 and CO2.

b.i.

 ;

Allow crosses or dots for lone-pair.

trigonal/triangular pyramidal;

b.ii (\( \sim \))107° / less than 109.5°;

Do not allow ECF.

LP-BP repulsion \( > \) BP-BP repulsion / one lone pair and three bond pairs / lone pairs/non-bonding pairs repel more than bonding-pairs;

Do not accept repulsion between atoms.

b.iii.

boiling points increase going down the group (from \({\text{P}}{{\text{H}}_{\text{3}}}\) to \({\text{As}}{{\text{H}}_{\text{3}}}\) to \({\text{Sb}}{{\text{H}}_{\text{3}}}\));

\({M_{\text{r}}}\)/number of electrons/molecular size increases down the group;

Accept electron cloud increases down the group for the second marking point.

greater dispersion/London/van der Waal’s forces;

\({\text{N}}{{\text{H}}_{\text{3}}}\)/ammonia has a higher boiling point than expected due to the hydrogen bonding between the molecules;

Do not accept hydrogen bonding alone.

c.i.

CO:

Award [1] for showing the net dipole moment, or explaining it in words (unsymmetrical distribution of charge).

c.ii. \(N{O_2}\):

Award [1] for correct representation of the bent shape and [1] for showing the net dipole moment, or explaining it in words (unsymmetrical distribution of charge).

c.iii. \(C{O_2}\):

Award [1] for correct representation of the linear shape and [1] for showing the two equal but opposite dipoles or explaining it in words (symmetrical distribution of charge).

For all three molecules, allow either arrow or arrow with bar for representation of dipole moment.

Allow correct partial charges instead of the representation of the vector dipole moment.

Ignore incorrect bonds.

Lone pairs not needed.

Detailed Solution: 

a. 

i. Isotopes are variants of an element that have the same number of protons in the nucleus but differ in the number of neutrons. In other words, isotopes are different forms of an element that have the same atomic number (number of protons) but different atomic masses (sum of protons and neutrons).

ii. Relative atomic mass = (Sum of the product of isotope mass and fraction abundance)

Relative atomic mass = 28*0.0223+29*0.0468+30*0.0309 = 28.1.

iii.

Silicon dioxide (SiO2) is a chemical compound commonly known as silica or quartz. It is a covalent compound that consists of one silicon atom bonded to two oxygen atoms. The structure of silicon dioxide can be described as a three-dimensional network of interconnected silicon and oxygen atoms.

In the crystal lattice of silicon dioxide, each silicon atom is surrounded by four oxygen atoms in a tetrahedral arrangement. Each oxygen atom is shared between two silicon atoms, forming strong covalent bonds. This results in a highly stable and rigid structure.

iv.

The structure of carbon dioxide (CO2) can be described as a linear molecule with a carbon atom in the center bonded to two oxygen atoms. Each oxygen atom is connected to the carbon atom by a double bond.

In the Lewis structure representation, the carbon atom is in the middle and has two electron pairs and two oxygen atoms around it. Each oxygen atom shares two electrons with the carbon atom through a double bond, resulting in a total of four shared electrons. The remaining two electron pairs on each oxygen atom are unshared (also known as lone pairs).

b.

i.

The shape of ammonia (NH3) is trigonal pyramidal.

In ammonia, the central nitrogen atom is bonded to three hydrogen atoms. The nitrogen atom has one lone pair of electrons, in addition to the three bonding pairs of electrons. The three hydrogen atoms are positioned around the nitrogen atom, forming a triangular base.

The lone pair of electrons on nitrogen affects the molecular geometry, pushing the bonding electron pairs slightly closer to each other. This results in a distorted tetrahedral arrangement, where the three hydrogen atoms and the lone pair of electrons are not symmetrically arranged around the nitrogen atom.

ii. The bond angles between the hydrogen-nitrogen-hydrogen atoms are approximately 107 degrees, slightly less than the ideal tetrahedral angle of 109.5 degrees, due to the repulsion between the lone pair and bonding pairs of electrons.

iii.

PH3 < NH3

The lower boiling point of ammonia compared to phosphine is primarily due to the differences in molecular polarity and hydrogen bonding.

Ammonia (NH3) has a higher boiling point than expected based on its molecular weight alone because it can form hydrogen bonds. In ammonia, the electronegative nitrogen atom can attract the hydrogen atoms of neighboring molecules, resulting in intermolecular hydrogen bonding. These hydrogen bonds are relatively strong and require more energy to break, resulting in a higher boiling point for ammonia.

Phosphine (PH3), on the other hand, is less polar and exhibits weaker intermolecular forces compared to ammonia. While phosphine molecules can form hydrogen bonds, the electronegativity difference between phosphorus and hydrogen is smaller than that between nitrogen and hydrogen. As a result, the strength of hydrogen bonding in phosphine is weaker than in ammonia, leading to a lower boiling point for phosphine.

PH3 < AsH3 < SbH3 

PH3 (Phosphine): Phosphine molecules have a dipole moment due to the electronegativity difference between phosphorus and hydrogen. However, the dipole moment in phosphine is relatively weak. Additionally, phosphine experiences relatively weak London dispersion forces between molecules. As a result, the intermolecular forces in phosphine are weaker overall, leading to a lower boiling point compared to the other compounds.

AsH3 (Arsine): Arsine molecules have a larger dipole moment compared to phosphine due to the electronegativity difference between arsenic and hydrogen. This increased dipole moment enhances the strength of dipole-dipole interactions between arsine molecules. As a result, arsine has stronger intermolecular forces compared to phosphine, leading to a higher boiling point.

SbH3 (Stibine): Stibine molecules have an even larger dipole moment than arsine due to the electronegativity difference between antimony and hydrogen. The increased dipole moment in stibine further enhances the strength of dipole-dipole interactions compared to arsine. Additionally, stibine experiences stronger London dispersion forces due to the larger, more polarizable antimony atom. These stronger intermolecular forces result in a higher boiling point for stibine compared to both arsine and phosphine.

c.

i.

CO (carbon monoxide) is a polar molecule due to the difference in electronegativity between carbon and oxygen atoms and the molecular geometry.

In a CO molecule, oxygen is more electronegative than carbon, meaning it has a higher affinity for electrons. As a result, the shared electrons in the carbon-oxygen bond are pulled more towards the oxygen atom, creating a partial negative charge (δ-) on the oxygen and a partial positive charge (δ+) on the carbon.

Additionally, the CO molecule has a linear geometry, with carbon in the center and oxygen on one side. Since the oxygen atom has a higher electronegativity, the polar bond moments (represented by arrows pointing towards the more electronegative oxygen atom) do not cancel each other out. Instead, they result in a net dipole moment along the carbon-oxygen bond.

ii.

NO2 (nitrogen dioxide) is a polar molecule due to the presence of a polar bond and an asymmetrical molecular geometry. In a NO2 molecule, nitrogen (N) and oxygen (O) are bonded together by a covalent bond. Oxygen is more electronegative than nitrogen, which means it has a higher affinity for electrons. As a result, the shared electrons in the nitrogen-oxygen bond are pulled more towards the oxygen atom, creating a partial negative charge (δ-) on the oxygen and a partial positive charge (δ+) on the nitrogen.

Furthermore, the NO2 molecule has a bent or V-shaped geometry. This shape arises due to the repulsion between the lone pair of electrons on the nitrogen atom and the bonding electron pairs. The lone pair pushes the oxygen atoms closer together, resulting in an asymmetrical distribution of charge.Due to the presence of a polar bond (N-O) and the asymmetrical molecular geometry, the individual bond dipoles do not cancel each other out. Instead, they combine to give the molecule a net dipole moment.

iii. 

CO2 (carbon dioxide) is a nonpolar molecule due to its symmetrical linear molecular geometry and the cancellation of dipole moments.

In a CO2 molecule, carbon is bonded to two oxygen atoms through double bonds. Carbon and oxygen have different electronegativities, with oxygen being more electronegative. However, the molecule’s linear geometry ensures that the bond dipoles between carbon and each oxygen are equal in magnitude but opposite in direction.

The two oxygen atoms are positioned on opposite sides of the carbon atom, resulting in a linear arrangement. Since the dipole moments of the two carbon-oxygen bonds are equal and pointing in opposite directions, they cancel each other out. This cancellation of dipole moments leads to a net dipole moment of zero, making CO2 a nonpolar molecule.

Question

Sodium oxide, \({\text{N}}{{\text{a}}_{\text{2}}}{\text{O}}\), is a white solid with a high melting point.

a.Explain why solid sodium oxide is a non-conductor of electricity.[1]

b.Molten sodium oxide is a good conductor of electricity. State the half-equation for the reaction occurring at the positive electrode during the electrolysis of molten sodium oxide.[1]
 

c.i.State the acid-base nature of sodium oxide.[1]

c.ii.State the equation for the reaction of sodium oxide with water.[1]

▶️Answer/Explanation

Markscheme

a. in the solid state ions are in fixed positions/there are no moveable ions / OWTTE;

Do not accept answer that refers to atoms or molecules.

b.

\({\text{2}}{{\text{O}}^{2 – }} \to {{\text{O}}_2} + {\text{4}}{{\text{e}}^ – }/{{\text{O}}^{2 – }} \to \frac{1}{2}{{\text{O}}_2} + {\text{2}}{{\text{e}}^ – }\);

Accept e instead of e.

c.i.

basic;

Allow alkaline

c.ii.

\({\text{N}}{{\text{a}}_2}{\text{O}} + {{\text{H}}_2}{\text{O}} \to {\text{2NaOH}}/{\text{N}}{{\text{a}}_2}{\text{O}} + {{\text{H}}_2}{\text{O}} \to {\text{2N}}{{\text{a}}^ + } + {\text{2O}}{{\text{H}}^ – }\);

Do not accept \( \rightleftharpoons \)

Detailed Explanation: 
a.

Solid sodium oxide (Na2O) is a non-conductor of electricity because it does not have freely moving charged particles, such as ions or free electrons, that are necessary for electrical conduction.

In solid ionic compounds like sodium oxide, the atoms are held together by strong ionic bonds. In the case of Na2O, sodium (Na) atoms lose electrons to form Na+ ions, while oxygen (O) atoms gain electrons to form O2- ions. These oppositely charged ions are attracted to each other, forming a three-dimensional lattice structure.

In this lattice structure, the positive and negative ions are held in fixed positions and are not free to move. Therefore, solid sodium oxide does not contain any free ions that can carry an electric charge. Since electrical conduction requires the movement of charged particles, the absence of free ions in the solid prevents the flow of electricity.

b. During the electrolysis of molten sodium oxide (Na2O), the positive electrode, also known as the anode, undergoes oxidation. The half-equation for the reaction occurring at the positive electrode can be written as follows:

\({\text{2}}{{\text{O}}^{2 – }} \to {{\text{O}}_2} + {\text{4}}{{\text{e}}^ – }/{{\text{O}}^{2 – }} \to \frac{1}{2}{{\text{O}}_2} + {\text{2}}{{\text{e}}^ – }\)

c.

i. Sodium oxide (Na2O) is a basic compound. It exhibits basic properties because it reacts with water to form a strong base, sodium hydroxide (NaOH).

ii. The reaction can be represented as follows: Na2O + H2O -> 2 NaOH

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