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Flashcards · IB Diploma Programme Chemistry · Topic 4

Reactivity 1 – What drives chemical reactions? flashcards

27 cards on Topic 4, subtopics 1.1 to 1.4. Pick a subtopic or study them all.

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1.1 Measuring enthalpy changes

Heat vs temperature
Energy on the move (J) vs a measure of mean particle kinetic energy (K). Heat depends on the amount of substance; temperature does not.
The thermometer rises during a reaction in solution. Exothermic or endothermic, and the sign of ΔH?
The thermometer reads the surroundings. They gained energy, so the system lost it: exothermic, ΔH negative.
Standard enthalpy change, ΔH⦵
ΔH under standard conditions (100 kPa; values usually for 298 K) with every substance in its standard state, in kJ mol⁻¹.
0.0150 mol of limiting reactant raises 40.0 g of solution by 4.3 K. ΔH?
Q = mcΔT = 40.0 × 4.18 × 4.3 = 719 J = 0.719 kJ. ΔH = −Q ÷ n = −0.719 ÷ 0.0150 = −47.9 kJ mol⁻¹.
Why is an experimental ΔH usually less negative than the data value?
Energy is lost to the air and bench; energy warms the cup or can; combustion is incomplete; fuel evaporates; products are not in standard states.
ΔH vs Ea on an energy profile
Gap between reactant and product levels vs gap from reactants up to the peak.

1.2 Energy cycles in reactions

Bond enthalpy
The energy absorbed when one mole of a particular covalent bond is broken in the gas phase; always positive. Average bond enthalpies are means over a range of compounds.
CH₂=CHCH₃ + Cl₂ → CH₂ClCHClCH₃. C=C 614, Cl–Cl 242, C–C 346, C–Cl 324 kJ mol⁻¹. ΔH?
Broken: 614 + 242 = 856. Formed: 346 + 2 × 324 = 994. ΔH = Σ(broken) − Σ(formed) = 856 − 994 = −138 kJ mol⁻¹.
Why is a ΔH from bond enthalpies only an estimate?
The values are averages over many molecules, and they apply to gases, so intermolecular forces in liquids or solids are ignored.
Hess's law
ΔH for a reaction is the same whatever pathway links the initial and final states (conservation of energy). Reverse an equation: change the sign of ΔH; scale it: scale ΔH.
Standard enthalpy of formation, and its value for an element
ΔH for making one mole of a substance from its elements, every species in its standard state. It is zero for an element in its standard state. (HL only)
Calculating ΔH⦵ from formation data vs combustion data
Formation: Σ ΔHf⦵(products) − Σ ΔHf⦵(reactants). Combustion: Σ ΔHc⦵(reactants) − Σ ΔHc⦵(products). (HL only)
Born–Haber: Li(s) → Li(g) +159; IE₁ +520; ½I₂ → I(g) +107; EA −295; lattice enthalpy +759 kJ mol⁻¹. ΔHf⦵ of LiI?
Elements to gaseous ions: 159 + 520 + 107 − 295 = +491. ΔHf⦵ = 491 − 759 = −268 kJ mol⁻¹ (lattice enthalpy here is for separating the solid). (HL only)

1.3 Energy from fuels

Complete vs incomplete combustion of an organic fuel
Complete: excess oxygen; CO₂ and H₂O only; blue, clean flame. Incomplete: limited oxygen; carbon ends up as CO and/or C (soot); yellow, sooty flame; less energy per mole.
Balanced equation for the complete combustion of propan-2-ol, C₃H₇OH
2C₃H₇OH + 9O₂ → 6CO₂ + 8H₂O (3CO₂ + 4H₂O need 10 O atoms; subtract the 1 in the alcohol: 4½O₂ per molecule).
Why is carbon monoxide dangerous?
It attaches to haemoglobin more tightly than oxygen, so the blood carries less oxygen; it has no colour or smell.
Coal, crude oil and natural gas: energy per gram and CO₂ per unit of energy
Natural gas (mostly methane): highest energy per gram, lowest CO₂ per unit energy. Coal (mostly carbon): lowest energy per gram, highest CO₂ per unit energy. Crude oil in between.
How do greenhouse gases warm the lower atmosphere?
The ground absorbs visible light and emits infrared. CO₂, H₂O and CH₄ absorb the infrared (their bonds vibrate) and re-emit it randomly, so part of it returns to the ground.
Why is a biofuel rarely fully carbon neutral?
Its carbon was fixed recently by photosynthesis (6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂), but farming, fertiliser, processing and transport usually burn fossil fuels.
Hydrogen fuel cell half-equations with an acidic electrolyte
Anode (negative, oxidation): H₂ → 2H⁺ + 2e⁻. Cathode (positive, reduction): O₂ + 4H⁺ + 4e⁻ → 2H₂O. Overall 2H₂ + O₂ → 2H₂O.

1.4 Entropy and spontaneity (Additional higher level)

Entropy, and the standard entropy of an element
A measure of how dispersed the matter and energy of a system are (J K⁻¹ mol⁻¹). S⦵ is positive for every pure substance above 0 K, elements included; a perfect crystal at 0 K has zero entropy. (HL only)
When is ΔS of the system positive?
When the moles of gas increase (strongest effect); when a solid melts, a liquid boils or a solid sublimes; when a solid dissolves or substances mix; when a substance is heated. (HL only)
Gibbs energy equation and its units
ΔG⦵ = ΔH⦵ − TΔS⦵, with ΔH and ΔG in kJ mol⁻¹, ΔS divided by 1000 to kJ K⁻¹ mol⁻¹, T in K. Spontaneous when ΔG is negative. (HL only)
Spontaneity from the signs of ΔH and ΔS
ΔH −, ΔS +: at all temperatures. ΔH +, ΔS −: never. ΔH −, ΔS −: below T = ΔH/ΔS. ΔH +, ΔS +: above T = ΔH/ΔS. (HL only)
ΔH = +65.0 kJ mol⁻¹, ΔS = +160 J K⁻¹ mol⁻¹. When is the change spontaneous?
T = 65.0 ÷ 0.160 = 406 K. Both positive, so spontaneous above 406 K. (HL only)
Link between ΔG⦵ and K
ΔG⦵ = −RT lnK (ΔG⦵ in J mol⁻¹, R = 8.31 J K⁻¹ mol⁻¹). Negative ΔG⦵ gives K > 1, products favoured; positive gives K < 1. At equilibrium ΔG = 0. (HL only)
ΔG for a mixture that is not at equilibrium
ΔG = ΔG⦵ + RT lnQ. If Q < K, ΔG is negative and the forward reaction proceeds, even if ΔG⦵ is positive. (HL only)