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Structure: Models of the Particulate Nature of Matter — Free Chemistry SL Practice Questions

1FoundationMCQProperties of matter1 markPaper 1~2 min
A liquid sample and a gaseous sample are each placed in separate sealed containers of twice their original volume. Which row correctly describes the behavior of both samples?
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2MasteryMCQProperties of matter1 markPaper 1~2 min
A liquid sample has a definite volume, takes the shape of its container, flows readily, and cannot be compressed significantly. Which statement correctly identifies the state of matter and provides a valid particle-level explanation?
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3FoundationMCQProperties of matter1 markPaper 1~2 min
A student measures the mass of a sample of ethanol as 15.8 g15.8 \text{ g} and its volume as 20.0 cm320.0 \text{ cm}^3. What is the density of the ethanol?
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4FoundationMCQProperties of matter1 markPaper 1~2 min
When ice at 10 °C-10\ \text{°C} melts to liquid water at 0 °C0\ \text{°C}, which of the following correctly describes the change in particle arrangement and motion?
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5MasteryMCQProperties of matter1 markPaper 1~2 min
A sample of iodine crystals is placed in a closed flask and gently warmed. Purple vapour forms without any liquid being observed. Which statement best explains this behaviour in terms of the particulate nature of matter?
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6FoundationMCQStructure of the atom: Protons, neutrons, electrons1 markPaper 1~2 min
A mass spectrum of naturally occurring magnesium shows three peaks at m/z=24m/z = 24, 2525, and 2626 with relative abundances of 79%, 10%, and 11% respectively. The atomic number of magnesium is 12. How many neutrons are present in the most abundant isotope of magnesium?
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7MasteryMCQStructure of the atom: Protons, neutrons, electrons1 markPaper 1~2 min
In the mass spectrum of naturally occurring chlorine, peaks appear at m/z=35m/z = 35 and m/z=37m/z = 37 with relative abundances of 75.8% and 24.2% respectively. For the isotope responsible for the peak at m/z=37m/z = 37, a student correctly determines that the nucleus contains 20 neutrons. How many protons does this isotope contain?
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8FoundationMCQStructure of the atom: Protons, neutrons, electrons1 markPaper 1~2 min
Two samples of element X are analysed. Atoms in the first sample contain 17 protons, 18 neutrons, and 17 electrons. Atoms in the second sample contain 17 protons, 20 neutrons, and 17 electrons. Which statement correctly describes the relationship between these two samples?
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9FoundationMCQStructure of the atom: Protons, neutrons, electrons1 markPaper 1~2 min
A mass spectrum of neon shows peaks at mass numbers 20, 21, and 22 with relative abundances of 90.5%, 0.3%, and 9.2% respectively. The atomic number of neon is 10. How many neutrons are present in the 22^{22}Ne isotope?
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10MasteryMCQStructure of the atom: Protons, neutrons, electrons1 markPaper 1~2 min
A sample of element X is analysed by mass spectrometry. The spectrum shows three peaks: m/z=24m/z = 24 (79.0%), m/z=25m/z = 25 (10.0%), and m/z=26m/z = 26 (11.0%). The atomic number of X is 12. How many neutrons are present in the most abundant isotope of X?
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11FoundationMCQElectron arrangement and atomic orbitals1 markPaper 1~2 min
In a multi-electron atom, the relative energies of sublevels are influenced by electron penetration and shielding. Which statement correctly describes the relative energies of the 3d and 4s sublevels in a multi-electron atom such as calcium?
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12MasteryMCQElectron arrangement and atomic orbitals1 markPaper 1~2 min
How many atomic orbitals are present in the n=4n = 4 principal energy level?
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13FoundationMCQElectron arrangement and atomic orbitals1 markPaper 1~2 min
Which electron configuration represents a ground-state sulfur atom (Z=16Z = 16)?
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14FoundationMCQAufbau principle, Pauli exclusion principle, Hund's rule1 markPaper 1~2 min
A phosphorus atom has atomic number 15. Which correctly shows the electron arrangement in the 3p subshell of a phosphorus atom in its ground state, in accordance with Hund's rule?
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15MasteryMCQAufbau principle, Pauli exclusion principle, Hund's rule1 markPaper 1~2 min
Which electron configuration represents a phosphorus atom (Z=15Z = 15) in its ground state?
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16FoundationMCQDefinition of the mole and Avogadro's constant1 markPaper 1~2 min
A student measures 4.00 g4.00 \text{ g} of sodium hydroxide, NaOH, for a neutralisation reaction. The molar mass of NaOH is 40.00 g mol140.00 \text{ g mol}^{-1} and Avogadro's constant is 6.02×1023 mol16.02 \times 10^{23} \text{ mol}^{-1}. How many formula units of NaOH are present in this sample?
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17MasteryMCQDefinition of the mole and Avogadro's constant1 markPaper 1~2 min
A student has 8.80 g of carbon dioxide gas (Mr=44.0M_r = 44.0) in a sealed syringe. Exactly half of this gas is transferred to a reaction flask. How many molecules of CO2\text{CO}_2 remain the syringe? (NA=6.02×1023 mol1N_A = 6.02 \times 10^{23}\ \text{mol}^{-1})
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18MasteryMCQDefinition of the mole and Avogadro's constant1 markPaper 1~2 min
Magnesium reacts with excess hydrochloric acid according to the equation: Mg(s)+2HCl(aq)MgCl2(aq)+H2(g)\text{Mg(s)} + 2\text{HCl(aq)} \rightarrow \text{MgCl}_2\text{(aq)} + \text{H}_2\text{(g)}. A student uses 0.060 g0.060\ \text{g} of magnesium (Ar=24.3A_r = 24.3) and assumes 100% yield. Which expression gives the number of H2\text{H}_2 molecules collected?
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19FoundationMCQDefinition of the mole and Avogadro's constant1 markPaper 1~2 min
A student reacts 0.24 g0.24\ \text{g} of magnesium ribbon with excess hydrochloric acid. Given that the molar mass of magnesium is 24.0 g mol124.0\ \text{g mol}^{-1} and Avogadro's constant is 6.02×1023 mol16.02 \times 10^{23}\ \text{mol}^{-1}, how many magnesium atoms are consumed in this reaction?
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20MasteryMCQDefinition of the mole and Avogadro's constant1 markPaper 1~2 min
A sample of hydrated copper(II) sulfate, CuSO45H2O\text{CuSO}_4 \cdot 5\text{H}_2\text{O} (Mr=249.7M_r = 249.7), is heated until all water of crystallisation is removed, yielding 3.19 g3.19\ \text{g} of anhydrous CuSO4\text{CuSO}_4 (Mr=159.6M_r = 159.6). How many water molecules were present in the original hydrated sample? (NA=6.02×1023 mol1N_A = 6.02 \times 10^{23}\ \text{mol}^{-1})
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21FoundationMCQIdeal gas law (PV = nRT)1 markPaper 1~2 min
A student investigates the relationship between pressure and volume of a fixed amount of nitrogen gas at constant temperature. A graph of pressure PP against 1V\dfrac{1}{V} produces a straight line passing through the origin. Which conclusion is consistent with this observation?
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22MasteryMCQIdeal gas law (PV = nRT)1 markPaper 1~2 min
A student investigates the relationship between pressure and temperature for a fixed mass of nitrogen gas at constant volume. Pressure PP is plotted against temperature θ\theta in degrees Celsius, producing a straight line. The line is extrapolated until it intersects the horizontal axis. What does this intersection point represent?
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23MasteryMCQIdeal gas law (PV = nRT)1 markPaper 1~2 min
A sealed syringe contains 50.0 cm350.0 \text{ cm}^3 of dry air at 1.00×105 Pa1.00 \times 10^5 \text{ Pa} and 300 K300 \text{ K}. The plunger is pushed in, compressing the air to 25.0 cm325.0 \text{ cm}^3, and the temperature rises to 330 K330 \text{ K}. Assuming ideal gas behaviour, what is the new pressure of the air?
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24FoundationMCQIdeal gas law (PV = nRT)1 markPaper 1~2 min
A weather balloon contains 0.50 mol0.50\ \text{mol} of helium gas at a pressure of 100 kPa100\ \text{kPa} and a temperature of 300 K300\ \text{K}. The balloon rises to an altitude where the pressure is 50 kPa50\ \text{kPa} and the temperature is 250 K250\ \text{K}. Assuming ideal gas behaviour, what is the volume of the balloon at this altitude?
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25MasteryMCQIdeal gas law (PV = nRT)1 markPaper 1~2 min
At high pressures and low temperatures, real gases deviate most significantly from ideal behaviour. Which assumption of the ideal gas model is violated under both of these conditions?
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26MasterySAQ-SProperties of matter8 marksPaper 2~12 min
The graph below shows the heating curve of a pure substance. Temperature is plotted against time as the substance is heated from 50°C-50\,°\text{C} to 150°C150\,°\text{C} at a constant rate. The substance has a melting point of 0°C0\,°\text{C} and a boiling point of 100°C100\,°\text{C}. The specific heat capacity of the solid is 2.1Jg1°C12.1\,\text{J}\,\text{g}^{-1}\,°\text{C}^{-1} and of the liquid is 4.2Jg1°C14.2\,\text{J}\,\text{g}^{-1}\,°\text{C}^{-1}.
(a)
Describe what is happening to the particles of the substance during the plateau at 0°C0\,°\text{C}[2 marks]
(b)
Describe how the physical state of the substance at 120°C120\,°\text{C} differs from its state at 20°C-20\,°\text{C}, in terms of particle arrangement and compressibility. [2 marks]
(c)
Calculate the total energy required to raise the temperature of 25g25\,\text{g} of the substance from 20°C-20\,°\text{C} to 80°C80\,°\text{C}, excluding any energy required for a change of state. [2 marks]
(d)
The plateau at 100°C100\,°\text{C} is longer than the plateau at 0°C0\,°\text{C} on the heating curve. Explain why, in terms of intermolecular forces. [2 marks]
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27MasterySAQ-SProperties of matter7 marksPaper 2~11 min

Data

ln ⁣(P2P1)=ΔHvapR(1T21T1)\ln\!\left(\frac{P_2}{P_1}\right) = -\frac{\Delta H_\text{vap}}{R}\left(\frac{1}{T_2} - \frac{1}{T_1}\right)
The phase for carbon dioxide (CO2\text{CO}_2) is shown below (not to scale). The triple point of CO2\text{CO}_2 is at 5.11atm5.11\,\text{atm} and 56.6°C-56.6\,°\text{C}. The critical point is at 73.0atm73.0\,\text{atm} and 31.1°C31.1\,°\text{C}. At 1atm1\,\text{atm} pressure, solid CO2\text{CO}_2 sublimes at 78.5°C-78.5\,°\text{C}.
(a)
Describe what happens to the physical state of a sample of CO2\text{CO}_2, initially at 1atm1\,\text{atm} and 80°C-80\,°\text{C}, when it is heated at constant pressure to 25°C25\,°\text{C}[2 marks]
(b)
Describe the arrangement and motion of particles in CO2\text{CO}_2 at the critical point (73.0atm73.0\,\text{atm}, 31.1°C31.1\,°\text{C}). [2 marks]
(c)
The enthalpy of vaporisation of liquid CO2\text{CO}_2 is ΔHvap=17.2kJ mol1\Delta H_\text{vap} = 17.2\,\text{kJ mol}^{-1}. The vapour pressure of liquid CO2\text{CO}_2 at 20.0°C-20.0\,°\text{C} is 19.7atm19.7\,\text{atm}. Using the Clausius–Clapeyron equation, calculate the vapour pressure of liquid CO2\text{CO}_2 at 20.0°C20.0\,°\text{C}[3 marks]
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28ChallengeSAQ-LSolid, liquid, gas phases and changes of state7 marksPaper 2~11 min
A class investigates the cooling of a pure substance X. Liquid X at 120C120\,^\circ\text{C} is cooled to 20C20\,^\circ\text{C} at a constant rate of heat removal. Property — Value Normal boiling point of X — 78.5C78.5\,^\circ\text{C} Normal melting point of X — 114.5C-114.5\,^\circ\text{C} Specific heat capacity of liquid X — 2.50J g1C12.50\,\text{J g}^{-1}\,^\circ\text{C}^{-1} Specific heat capacity of solid X — 2.00J g1C12.00\,\text{J g}^{-1}\,^\circ\text{C}^{-1} Enthalpy of vaporisation of X — 840J g1840\,\text{J g}^{-1} Enthalpy of fusion of X — 180J g1180\,\text{J g}^{-1} Mass of sample — 50.0g50.0\,\text{g} Rate of heat removal — 20.0J s120.0\,\text{J s}^{-1}
(a)
Calculate the total time required for the 50.0g50.0\,\text{g} sample to cool from 120C120\,^\circ\text{C} to 20C20\,^\circ\text{C}[3 marks]
(b)
Explain why the temperature remains constant during the condensation of X at 78.5C78.5\,^\circ\text{C}, even though heat is continuously removed. [2 marks]
(c)
The experiment is repeated, cooling X from 120C120\,^\circ\text{C} to 150C-150\,^\circ\text{C}. Calculate the duration of the solidification plateau at 114.5C-114.5\,^\circ\text{C} and hence evaluate whether this plateau or the condensation plateau at 78.5C78.5\,^\circ\text{C} would be more prominent on the cooling curve. [2 marks]
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29MasterySAQ-SSolid, liquid, gas phases and changes of state8 marksPaper 2~12 min
A student investigates the behaviour of a pure sample of water as it is heated from 10°C-10\,°\text{C} to 120°C120\,°\text{C} at constant atmospheric pressure. The student records the temperature every 30 seconds and plots a heating curve. The specific latent heat of vaporization of water is 2.26×103J g12.26 \times 10^{3}\,\text{J g}^{-1}.
(a)
Describe the arrangement and movement of water molecules in the liquid phase at 50°C50\,°\text{C}[2 marks]
(b)
Explain why the temperature remains constant at 100°C100\,°\text{C} for several minutes during heating. [2 marks]
(c)
Calculate the energy, in kJ, required to completely vaporize 50.0g50.0\,\text{g} of liquid water at 100°C100\,°\text{C}[2 marks]
(d)
The student repeats the experiment using ethanol instead of water. Ethanol has a lower boiling point and a lower specific latent heat of vaporization than water. Deduce and explain, with reference to intermolecular forces, why ethanol has a lower specific latent heat of vaporization than water. [2 marks]
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30MasterySAQ-SSolid, liquid, gas phases and changes of state5 marksPaper 2~8 min
A student places a few crystals of solid iodine (I2\text{I}_2) in a sealed flask at 25C25\,^\circ\text{C} and standard atmospheric pressure (101kPa101\,\text{kPa}). Over time, the solid disappears and a purple vapour fills the flask, with no liquid observed. The triple point of iodine occurs at 113.7C113.7\,^\circ\text{C} and 12.1kPa12.1\,\text{kPa}.
(a)
State the change of state occurring in the flask. [1 mark]
(b)
Describe the differences in the arrangement and motion of iodine particles in the solid state compared to the gaseous state. [2 marks]
(c)
Using the triple point data, explain why solid iodine converts directly to vapour at 25C25\,^\circ\text{C} and 101kPa101\,\text{kPa}, without forming a liquid. [2 marks]
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31MasterySAQ-SStructure of the atom: Protons, neutrons, electrons5 marksPaper 2~8 min
Bohr's model of the hydrogen atom describes electrons occupying discrete energy levels. A hydrogen atom in its ground state absorbs a photon and undergoes electronic excitation.
(a)
State the principal quantum number, nn, of the energy level to which the electron is promoted when it absorbs a photon of energy 1.64×1018J1.64 \times 10^{-18}\,\text{J}, given that the ground state corresponds to n=1n = 1[1 mark]
(b)
Describe the change in the electron's distance from the nucleus and its energy as it moves from n=1n = 1 to n=2n = 2[2 marks]
(c)
Calculate the wavelength, in nm, of the photon absorbed to cause the n=1n=2n = 1 \rightarrow n = 2 transition. E=1.64×1018J,c=3.00×108ms1,h=6.63×1034JsE = 1.64 \times 10^{-18}\,\text{J},\quad c = 3.00 \times 10^{8}\,\text{m\,s}^{-1},\quad h = 6.63 \times 10^{-34}\,\text{J\,s} [2 marks]
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32MasterySAQ-SStructure of the atom: Protons, neutrons, electrons5 marksPaper 2~8 min
A student studies the mass spectrum of a pure sample of magnesium. Magnesium has three naturally occurring isotopes: 24^{24}Mg, 25^{25}Mg, and 26^{26}Mg.
(a)
State what each peak in the mass spectrum represents, and identify the subatomic particles whose total number determines the m/z value recorded. [2 marks]
(b)
The relative abundances of the isotopes are: 24^{24}Mg =79%= 79\%, 25^{25}Mg =10%= 10\%, 26^{26}Mg =11%= 11\%. Calculate the relative atomic mass of magnesium for this sample. [2 marks]
(c)
A different magnesium sample gives a relative atomic mass of 24.4024.40. Deduce whether the proportion of 26^{26}Mg in this sample is greater than, equal to, or less than 11%11\%. Justify your answer. [1 mark]
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33ChallengeSAQ-LAtomic models: Bohr model, quantum model7 marksPaper 2~11 min
This question is about the hydrogen atomic spectrum and atomic models. The hydrogen emission spectrum shows a series of lines in the visible region (Balmer series), corresponding to electronic transitions from higher energy levels to n=2n = 2.
(a)
State the name of the series and the lower energy level (nn) for transitions that produce spectral lines in the infrared region. [1 mark]
(b)
The Paschen series corresponds to transitions ending at n=3n = 3. The longest wavelength line in the Paschen series has a wavelength of 1875nm1875\,\text{nm}. Calculate the energy, in J, of a photon corresponding to this transition. E=hf,c=fλ,c=3.00×108ms1,h=6.63×1034JsE = hf, \quad c = f\lambda, \quad c = 3.00 \times 10^{8}\,\text{m\,s}^{-1}, \quad h = 6.63 \times 10^{-34}\,\text{J\,s} [2 marks]
(c)
Explain why the Bohr model predicts that electrons occupy fixed circular orbits with specific energies. [2 marks]
(d)
Evaluate the extent to which the Bohr model successfully explains the atomic spectra of elements with more than one electron, such as helium. [2 marks]
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34MasterySAQ-SStructure of the atom: Protons, neutrons, electrons5 marksPaper 2~8 min
A lithium-7 atom has the electron configuration 1s22s11s^2\,2s^1. Its nucleus contains 3 protons and 4 neutrons.
(a)
State the relative mass and relative charge of a proton, a neutron, and an electron. [2 marks]
(b)
Describe the location of protons, neutrons, and electrons within a lithium-7 atom. [2 marks]
(c)
Lithium commonly forms the ion Li+\text{Li}^+. Deduce the electron configuration of Li+\text{Li}^+ and explain why lithium loses one electron rather than two when forming an ion. [1 mark]
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35MasterySAQ-SStructure of the atom: Protons, neutrons, electrons7 marksPaper 2~11 min
Rutherford's gold foil experiment provided evidence for the nuclear model of the atom. Alpha particles were directed at a thin gold foil.
(a)
Describe two observations from this experiment that led to the conclusion that atoms contain a small, dense, positively charged nucleus. [2 marks]
(b)
A gold atom has atomic number 7979 and mass number 197197. Determine the number of protons, neutrons, and electrons in a neutral gold-197 atom. [2 marks]
(c)
Gold-195 is another isotope of gold. Deduce, with reasoning, whether gold-195 and gold-197 have identical chemical properties, and explain how their nuclear compositions differ. [3 marks]
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36ChallengeSAQ-LElectron arrangement and atomic orbitals7 marksPaper 2~11 min

Data

c=3.00×108m s1c = 3.00 \times 10^{8}\,\text{m s}^{-1}; h=6.63×1034J sh = 6.63 \times 10^{-34}\,\text{J s}; NA=6.02×1023mol1N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}; RH=1.097×107m1R_H = 1.097 \times 10^{7}\,\text{m}^{-1}. Formulae: 1λ=RH ⁣(1n121n22)\dfrac{1}{\lambda} = R_H\!\left(\dfrac{1}{n_1^2} - \dfrac{1}{n_2^2}\right); E=hνE = h\nu; c=λνc = \lambda\nu.
The emission spectrum of atomic hydrogen contains a series of lines in the ultraviolet region known as the Lyman series. These lines correspond to electron transitions from higher energy levels (n>1n > 1) to the ground state (n=1n = 1).
(a)
Calculate the ionization energy of hydrogen in kJ mol1\text{kJ mol}^{-1} using the Rydberg equation. [3 marks]
(b)
Explain why the lines in the Lyman series converge at shorter wavelengths. [1 mark]
(c)
Calculate the wavelength, in nm, of the spectral line corresponding to the transition n=3n=1n = 3 \to n = 1[2 marks]
(d)
Evaluate how the observation of discrete spectral lines and a convergence limit in the Lyman series supports the quantum mechanical model of the atom over the classical (continuous) model. [1 mark]
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37MasterySAQ-SAufbau principle, Pauli exclusion principle, Hund's rule5 marksPaper 2~8 min
Nitrogen (N, Z=7Z = 7) is a key component of amino acids and fertilisers. A student writes the following electron configuration for a nitrogen atom in its ground state: 1s2 2px1 2py11s^2 \ 2p_x^1 \ 2p_y^1 -
(a)
State the Aufbau principle. - [1 mark]
(b)
Explain, using Hund's rule, why the student's electron configuration for nitrogen is incomplete. - [2 marks]
(c)
Deduce the correct ground-state electron configuration for nitrogen, showing the distribution of all electrons in the 2p2p orbitals. [2 marks]
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38ChallengeSAQ-LElectron arrangement and atomic orbitals9 marksPaper 2~14 min

Data

Z(Kr)=36Z(\text{Kr}) = 36. Aufbau filling order: 1s<2p<3s<3p<4s<3d<4p<5s<4d1s < 2p < 3s < 3p < 4s < 3d < 4p < 5s < 4d.
Technetium (Tc, Z=43Z = 43) is the lightest element with no stable isotopes. It is used in nuclear medicine as a gamma-emitting tracer. Its neighbour molybdenum (Mo, Z=42Z = 42) has anomalous ground-state electron configuration compared to the prediction of the Aufbau principle.
(a)
State the ground-state electron configuration of technetium (Z=43Z = 43) in both full and condensed [Kr][\text{Kr}] notation, using the Aufbau principle. [2 marks]
(b)
The actual ground-state configuration of molybdenum (Z=42Z = 42) is [Kr]4d55s1[\text{Kr}]\,4d^{5}\,5s^{1}, not the configuration predicted by the Aufbau principle. State the Aufbau-predicted condensed configuration of Mo and identify the difference from the actual configuration. [2 marks]
(c)
Explain why the half-filled 4d54d^{5} subshell in Mo provides extra stability, using the concepts of exchange energy and electron–electron repulsion. [2 marks]
(d)
For potassium (Z=19Z = 19), the 4s4s orbital is lower in energy than 3d3d. Evaluate, using penetration and the effect of increasing nuclear charge, why the 4d4d orbital becomes lower in energy than 5s5s for technetium (Z=43Z = 43), and state the consequence for the filling order. [3 marks]
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39ChallengeSAQ-LElectron arrangement and atomic orbitals9 marksPaper 2~14 min

Data

Speed of light, c=3.00×108ms1c = 3.00 \times 10^{8}\,\text{m\,s}^{-1}; Planck constant, h=6.63×1034Jsh = 6.63 \times 10^{-34}\,\text{J\,s}. Equations: E=hνE = h\nu; c=λνc = \lambda\nu; ΔE=hcλ\Delta E = \dfrac{hc}{\lambda}; Selection rule: Δl=±1\Delta l = \pm 1 for allowed transitions.
A student performs flame emission spectroscopy on a sample containing strontium ions (Sr2+\text{Sr}^{2+}). The strontium spectrum shows two closely spaced red emission lines at wavelengths λ1=460.7nm\lambda_1 = 460.7\,\text{nm} and λ2=460.3nm\lambda_2 = 460.3\,\text{nm}.
(a)
Calculate the energy, in J, of the photon emitted at λ1=460.7nm\lambda_1 = 460.7\,\text{nm}, and hence determine the frequency of this photon. [3 marks]
(b)
Explain why the emission spectrum of strontium consists of discrete lines rather than a continuous spectrum. [2 marks]
(c)
The line at λ1=460.7nm\lambda_1 = 460.7\,\text{nm} arises from a 5p5s5p \rightarrow 5s transition. Deduce, using orbital quantum numbers, why this transition is allowed according to the selection rule Δl=±1\Delta l = \pm 1[1 mark]
(d)
Calculate the energy difference, in J, between the two sublevels responsible for the lines at λ1=460.7nm\lambda_1 = 460.7\,\text{nm} and λ2=460.3nm\lambda_2 = 460.3\,\text{nm}. Evaluate what this energy difference reveals about the limitations of the Bohr model compared to the quantum mechanical model. [3 marks]
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40MasterySAQ-SAufbau principle, Pauli exclusion principle, Hund's rule7 marksPaper 2~11 min
A student proposes the following electron configuration for a sulfur atom (Z=16Z = 16) in its ground state: 1s2  2p6  3s2  3px  3py  3pz1s^2\; 2p^6\; 3s^2\; 3p_x^{\uparrow\downarrow}\; 3p_y^{\uparrow}\; 3p_z^{\phantom{\uparrow}} where 3py3p_y is shown with two electrons of parallel (same) spin.
(a)
State the Pauli exclusion principle. [1 mark]
(b)
Identify the specific violation of the Pauli exclusion principle in the student's proposed configuration and explain why it is not permitted. [2 marks]
(c)
Apply Hund's rule to draw the correct orbital for the 3p3p sub-level of sulfur in its ground state, using arrows to represent electrons. State the number of unpaired electrons. [2 marks]
(d)
A chemist states that a sample of elemental sulfur in the ground state is paramagnetic. Evaluate this claim with reference to your answer in (c). [2 marks]
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41ChallengeSAQ-LMolar mass and its calculation22 marksPaper 2~33 min
A student investigates the composition of hydrated magnesium sulfate, MgSO4nH2O\text{MgSO}_4 \cdot n\text{H}_2\text{O}. The student places a clean, dry crucible on a balance and records a mass of 18.24g18.24\,\text{g}. A sample of the hydrated salt is added and the new mass recorded as 28.76g28.76\,\text{g}. The crucible and contents are heated strongly for several minutes to drive off all water of crystallisation, then cooled in a desiccator. The final mass of the crucible and anhydrous salt is 23.54g23.54\,\text{g}. M(MgSO4)=120.4gmol1M(H2O)=18.02gmol1M(\text{MgSO}_4) = 120.4\,\text{g\,mol}^{-1} \qquad M(\text{H}_2\text{O}) = 18.02\,\text{g\,mol}^{-1}
(a)
Calculate the number of moles of water of crystallisation lost and the number of moles of anhydrous MgSO4\text{MgSO}_4 remaining. Hence determine the value of nn in MgSO4nH2O\text{MgSO}_4 \cdot n\text{H}_2\text{O}[5 marks]
(b)
Explain why the student cooled the crucible in a desiccator rather than on the laboratory bench. [2 marks]
(c)
The student's calculated value of nn is 6.66.6. Evaluate whether this result supports the accepted formula MgSO47H2O\text{MgSO}_4 \cdot 7\text{H}_2\text{O}, and identify one source of systematic error that could account for the discrepancy. [2 marks]
(d)
State one specific modification to the procedure that would improve the reliability of the value of nn obtained, and explain how it achieves this. [2] Total: [11 marks]
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42MasterySAQ-SDefinition of the mole and Avogadro's constant7 marksPaper 2~11 min

Data

Mr(O)=16.00M_r(\text{O}) = 16.00
A student investigates a sample of pure sulfur, S8\text{S}_8. The sample has a mass of 12.8g12.8\,\text{g}. Mr(S)=32.07,NA=6.02×1023mol1M_r(\text{S}) = 32.07, \quad N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}
(a)
Calculate the amount, in moles, of S8\text{S}_8 molecules present in the sample. [2 marks]
(b)
Determine the number of individual sulfur atoms present in the sample. [2 marks]
(c)
A second sample contains 1.20×10231.20 \times 10^{23} molecules of SO2\text{SO}_2. Deduce, showing your reasoning, whether this second sample has a greater or smaller mass than the 12.8g12.8\,\text{g} sulfur sample. [3 marks]

Solutions

43MasterySAQ-SDefinition of the mole and Avogadro's constant5 marksPaper 2~8 min
A pharmaceutical company synthesises ibuprofen (C13H18O2\text{C}_{13}\text{H}_{18}\text{O}_2) for use in pain relief tablets. A technician measures out 4.12g4.12\,\text{g} of ibuprofen powder for quality control analysis. Mr(C)=12.01,Mr(H)=1.01,Mr(O)=16.00,NA=6.02×1023mol1M_r(\text{C}) = 12.01,\quad M_r(\text{H}) = 1.01,\quad M_r(\text{O}) = 16.00,\quad N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}
(a)
Define the term mole with reference to Avogadro's constant. [1 mark]
(b)
Calculate the number of molecules of ibuprofen in the 4.12g4.12\,\text{g} sample. [2 marks]
(c)
The molar mass used in part (b) is calculated from standard atomic masses that are weighted averages of naturally occurring isotopes. Deduce and explain how the presence of isotopes of carbon affects the accuracy of the number of molecules calculated in part (b). [2 marks]

Solutions

44MasterySAQ-SDefinition of the mole and Avogadro's constant5 marksPaper 2~8 min
A student investigates the Haber process: N2(g)+3H2(g)2NH3(g)\text{N}_2(\text{g}) + 3\text{H}_2(\text{g}) \rightarrow 2\text{NH}_3(\text{g}) In an experiment, 0.500mol0.500\,\text{mol} of N2\text{N}_2 is reacted with excess H2\text{H}_2.
(a)
Calculate the mass of 0.500mol0.500\,\text{mol} of N2\text{N}_2[1 mark]
(b)
Calculate the number of H2\text{H}_2 molecules required to completely react with 0.500mol0.500\,\text{mol} of N2\text{N}_2[2 marks]
(c)
The Haber process is carried out at 450°C450\,°\text{C} and 200atm200\,\text{atm}. A chemist claims that increasing pressure will increase the yield of NH3\text{NH}_3 but increasing temperature will decrease it. Using your knowledge of equilibrium, evaluate this claim. [2 marks]

Solutions

45MasterySAQ-SDefinition of the mole and Avogadro's constant5 marksPaper 2~8 min
A sample of hydrated copper(II) sulfate (CuSO45H2O\text{CuSO}_4 \cdot 5\text{H}_2\text{O}) is heated to drive off water. The mass before heating is 24.95g24.95\,\text{g} and after complete dehydration the mass is 15.94g15.94\,\text{g}. Mr:Cu=63.55,  S=32.07,  O=16.00,  H=1.01,  NA=6.02×1023mol1M_r: \text{Cu} = 63.55,\; \text{S} = 32.07,\; \text{O} = 16.00,\; \text{H} = 1.01,\; N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}
(a)
Define the term mole. [1 mark]
(b)
Calculate the number of water molecules lost from the sample. [2 marks]
(c)
Deduce, using your answer to (b), whether the experimental data are consistent with the formula CuSO45H2O\text{CuSO}_4 \cdot 5\text{H}_2\text{O}[2 marks]

Solutions

46MasterySAQ-SIdeal gas law (PV = nRT)7 marksPaper 2~11 min
A student investigates the behaviour of dinitrogen monoxide, N2O\text{N}_2\text{O}, used as a mild anaesthetic in dentistry. A sealed syringe contains 0.920g0.920\,\text{g} of N2O\text{N}_2\text{O} at 22.0°C22.0\,°\text{C} and occupies a volume of 0.500dm30.500\,\text{dm}^3.
(a)
State two assumptions of the ideal gas model that are violated by real gases at high pressure or low temperature. [2 marks]
(b)
Calculate the pressure, in kPa, exerted by the N2O\text{N}_2\text{O} gas, assuming ideal behaviour. [3 marks]
(c)
The actual pressure measured inside the syringe is slightly lower than the value calculated in (b). Explain why, with reference to the assumptions stated in (a). [2 marks]
diagram

Solutions

47MasterySAQ-SGas laws: Boyle's law, Charles's law, Avogadro's law5 marksPaper 2~8 min
A student investigates Charles's law using a capillary tube sealed at one end. A small plug of concentrated sulfuric acid traps a fixed mass of dry air. The tube is heated in a water bath and the length of the air column is measured at different temperatures. - Length of air column at 30.0°C30.0\,°\text{C}: 8.20cm8.20\,\text{cm} - Length of air column at 80.0°C80.0\,°\text{C}: 9.55cm9.55\,\text{cm}
(a)
State Charles's law. [1 mark]
(b)
Explain why a uniform cross-sectional area throughout the capillary tube is necessary for this experiment. [1 mark]
(c)
Calculate the expected length of the air column at 0.0°C0.0\,°\text{C}, using the data recorded at 30.0°C30.0\,°\text{C}[3 marks]
diagram

Solutions

48ChallengeSAQ-LIdeal gas law (PV = nRT)8 marksPaper 2~12 min

Data

- Molar mass of CaCO3\text{CaCO}_3: 100.09gmol1100.09\,\text{g\,mol}^{-1} - R=8.31JK1mol1R = 8.31\,\text{J\,K}^{-1}\text{mol}^{-1}
A student investigates thermal decomposition of calcium carbonate (CaCO3\text{CaCO}_3) in a sealed, rigid container of volume 5.00×103m35.00 \times 10^{-3}\,\text{m}^3. The container is initially evacuated, a sample of pure CaCO3\text{CaCO}_3 is placed inside, and the container is sealed. The container is heated to a constant temperature of 1100K1100\,\text{K}, at which the reaction CaCO3(s)CaO(s)+CO2(g)\text{CaCO}_3(s) \rightarrow \text{CaO}(s) + \text{CO}_2(g) goes to completion. The pressure of CO2(g)\text{CO}_2(g) in the container is then measured to be 1.83×105Pa1.83 \times 10^5\,\text{Pa}.
(a)
Calculate the amount, in mol, of CO2\text{CO}_2 produced, and hence determine the mass, in g, of CaCO3\text{CaCO}_3 that decomposed. [3 marks]
(b)
The experiment is repeated using an identical mass of CaCO3\text{CaCO}_3 in a container fitted with a movable, frictionless piston that maintains a constant external pressure of 1.83×105Pa1.83 \times 10^5\,\text{Pa}. (i) State how the final pressure of CO2\text{CO}_2 in this container compares with that in the rigid container. [1]
(ii) Explain, in terms of particle behaviour, why the volume of the container changes during the reaction in this second experiment. [2 marks]
(c)
The ideal gas law assumes that intermolecular forces between gas particles are negligible. Evaluate whether this assumption is likely to be violated under the conditions of this experiment, justifying your answer with reference to the specific temperature and the identity of the gas. [2 marks]
diagram

Solutions

49ChallengeSAQ-LIdeal gas law (PV = nRT)9 marksPaper 2~14 min
A weather balloon is filled with helium gas at sea level where the atmospheric pressure is 1.01×105Pa1.01 \times 10^{5}\,\text{Pa} and the temperature is 298K298\,\text{K}. The balloon has a volume of 2.50×103m32.50 \times 10^{3}\,\text{m}^{3} when fully inflated at sea level. As the balloon rises, the external pressure decreases and the temperature drops. At an altitude of 15km15\,\text{km}, the pressure is 1.20×104Pa1.20 \times 10^{4}\,\text{Pa} and the temperature is 217K217\,\text{K}. The balloon is flexible and its volume adjusts to match external pressure. R=8.31J K1mol1M(He)=4.00g mol1R = 8.31\,\text{J K}^{-1}\text{mol}^{-1} \qquad M(\text{He}) = 4.00\,\text{g mol}^{-1}
(a)
Calculate the volume of the balloon at 15km15\,\text{km} altitude, assuming the balloon remains intact and no gas escapes. [3 marks]
(b)
State one assumption of the ideal gas model. Justify why this assumption is valid for helium gas at 1.20×104Pa1.20 \times 10^{4}\,\text{Pa} and 217K217\,\text{K}[2 marks]
(c)
Evaluate whether the assumption of constant amount of gas (nn) is valid for a real weather balloon during ascent. In your answer, identify two reasons why nn might change and assess which is more significant at high altitude. [4 marks]
diagram

Solutions

50MasterySAQ-SReal gases vs ideal gases5 marksPaper 2~8 min
A researcher studies the behaviour of ammonia gas (NH3\text{NH}_3) in a refrigeration cycle. She measures the pressure of a fixed amount of NH3\text{NH}_3 as she compresses it at constant temperature, plotting pressure (PP) against volume (VV).
(a)
Describe how the PPVV curve for a real gas such as ammonia differs from the curve predicted by Boyle's law for an ideal gas at high pressures. [2 marks]
(b)
At 298K298\,\text{K} and 1.0×105Pa1.0 \times 10^{5}\,\text{Pa}, the molar volume of ammonia is 24.5dm3mol124.5\,\text{dm}^3\,\text{mol}^{-1}. Calculate the molar volume predicted by Boyle's law when the pressure is increased to 4.0×106Pa4.0 \times 10^{6}\,\text{Pa} at the same temperature. [2 marks]
(c)
Explain why the actual molar volume of ammonia at 4.0×106Pa4.0 \times 10^{6}\,\text{Pa} is likely to be less than the value calculated in (b). [1 mark]
diagram

Solutions