3.1.8 thermodynamics Flashcards
how does a giant ionic lattice form?
- ions have to be formed from atoms
- these ions have to get close enough for attractive forces to form between them (ionic bonding)
lattice enthalpy of formation
enthalpy change when 1 mole of a SOLID ionic compound is FORMED from its constituent IONS in the GAS phase
always exothermic because is the formation of ionic bonding between ions
-LEF=+LED
lattice enthalpy of dissociation
enthalpy change when one mole of a SOLID ionic compound is BROKEN UP into its constituent IONS in the GAS phase
always endothermic because requires input of heat energy to dissolve/melt (some are insoluble because lattice is too strong and water can’t overcome it. therefore to free the ions in lattice have to melt it) the ionic compound, breaking the ionic bonds.
-LEF=+LED
what are born-haber cycles and what are they for
the principle of the cycle is hess’ law; that the energy involved in a single step will equal the sum of energy involved in several steps that start and end in the same place (enthalpy change of a reaction is independent of route taken)
the BH cycle is a specific application of hess’ law for ionic compounds. it is a thermodynamic model used to calculate the lattice enthalpy of an ionic compound and analyse the formation of ionic compounds from their elements.
these data are hard to get experimentally, but the alternative route where the constituent elements become atoms become ions become cations and anions become lattice is all easier to get
what data do they use/involve
- enthalpy of formation of ionic compound
- enthalpy of atomisation and or bond dissociation enthalpy
- ionisation enthalpy (1st, 2nd, 3rd)
- electron affinity (1st, 2nd, 3rd)
- lattice enthalpy of formation/dissociation
it will be up to them obvs what they give you and expect you to find.
enthalpy of formation
enthalpy change when one mole of a substance is formed from its constituent elements standard conditions standard states
exothermic for most substances
enthalpy of atomisation
enthalpy change when one mole of gaseous atoms is produced from an element in its standard states
eg 0.5I2 (iodine) (s) –> I (g)
endothermic
bond dissociation enthalpy
enthalpy change when one mole of covalent bonds is broken in the gaseous state
eg I2 (iodine) (g) –> 2I (g)
endothermic
relationship between bond dissociation enthalpy and enthalpy of atomisation
BDE is when one mole of X2 becomes 2 moles of gaseous atoms because the bond has broken. the BDE is to do with 1 mole of bonds are broken
the atomisation is to do with forming one mole of atoms by def. therefore half mole of X2 will form 1 mole of X
this is for diatomic elements only, so oxygen, nitrogen, halogens
depending on the compound, this will be important. because if you need 2 Cl- atoms eg for the BH cycle of BaCl2, you need to use BDE. but if you’re ot given it. you need to use atomisation energy and MULTIPLY IT BY TWO.
likewise if you need one Cl- atom for the BH cycle of NaCl, so need atomisation energy, but are given dissociation; need to use BDE and DIVIDE IT BY 2
atom = 1/2 diss
diss = atom x2
ionisation enthalpy (1st, 2nd, 3rd)
- endothermic; requires energy to remove the e- and overcome the eFoA (recall; ionisation energy)
- applies to gas atom that will be the cation in the compound
FIRST
enthalpy change when each atom in one mole of GASEOUS ATOMS loses one e- to form one mole of gaseous 1+ ions
SECOND
enthalpy change when each ION in one mole of GASEOUS 1+ IONS loses one e- to form one mole of gaseous 2+ ions
because gas atoms, in BH cycle, has to come after they’ve been made into gaseous atoms from standard state elements
electron affinity (1st, 2nd, 3rd)
FIRST
- enthalpy change when one mole of GASEOUS atoms gains one e- to form one mole of gaseous 1- ions
- happens to gaseous atom that will be the anion in the compound
- is exothermic mostly because +ve charge of nucleus is attractive, and when e- gets close enough to e- cloud will be attracted into it
SECOND
- enthalpy change when one mole of GASEOUS 1- ions gains one e- to form one mole of gaseous 2- ions
- will happen for anions with 2-, 3-, 4- charges
- is ENDOTHERMIC because adding -ve electron to a -ve ion. they would repel
so in the BH cycle the arrow representing the 1st electron affinity will be pointing down, exo; the 2nd will point UP, ENDO.
(this energy is basc how easy it is for an e- to be gained by this atom/ion.)
how do you construct a BH cycle
- arrows
- how to start
-features to have
- each arrow represents 1 enthalpy change. need to do separate arrows for each ionisation enthalpy and electron affinity
- process that is endothermic, using energy, will point upwards
- exothermic processes, releasing energy, will point downwards
- always start with the elements in their standard states
- be mindful of direction of arrows, use defs of what they represent to inform you
- label each arrow and need eq
- ?for ionisation enthalpy eqs is the e- accumulative or one lost at each stage shown as one? Accumulative I think
how do you construct a BH cycle: what goes where
- what trying to make? start with the standard state elements. eg NaCl BH cycle, start with line upon which is Na (s) and Cl2 (g)
- how many ions of each thing do i need? informs whether use atom/diss for X2 elements to get the gaseous atoms. now can go from elements to gaseous atoms. go one species at a time
- gaseous atoms to ions, one species at a time. do Na first, so the will be cation. use ionisation enthalpies and make sure get to correct ionic state. for Na, easy, 1+, for others need separate arrows to get to 2+ ad 3+. need to show the Cl (will be anion) in gas atom form and the lost e- at each stage
- at top have the cation, the final lost e- and the will be anion gas atom/s
- e affinity, pointing down for 1st one as exothermic, where the e- is passed to Cl, forming Cl-. if was something that must get 2- or 3- etc charge, the subsequent e- affinities are ENDO, arrow goes up
- when have the gaseous ions then there is exothermic arrow down to the solid ionic compound, representing the LEF
- the solid ionic compound line is below the line of standard state elements from before. an arrow connects them pointing down from standard state elements to the solid ionic compound; the enthalpy of formation of the ionic compound is exothermic. don’t get confused with LEF and enthalpy of formation
what are lattice enthalpies an indication of
the strength of ionic bonding
the higher the LE, the stronger the ionic bonding
what determines strength of ionic bonding
depends on the charge of the ions and the ionic radius
smaller ion -> higher charge density and closer to oppositely charged ion (can get closer) so stronger eFoA between them
stronger charges -> stronger eFoA
stronger ionic bonding means higher lattice enthalpies
if the LED is larger what does that mean
more endothermic
so requires higher input of energy
so harder to break lattice, overcome ionic bonds
larger LEF means what
more exothermic
more energy release when solid ionic compound is formed
so more stable
how can lattice enthalpies be calculated
experimentally via a BH cycle. even though calculating via arithmetic not analytically, the values used to determine it are gotten experimentally
theoretically via the perfect ionic model, similar to ideal gas. uses an eq, and assumes that the structure is perfectly ionic, the ions being perfect points of positive or negative charge
takes into account
- size of ions
- charges of ions
- arrangement in the lattice; which differs due to unequal charges eg NaCl and MgCl2
why is the experimental value for lattice enthalpies the true value, not the PIM value
bc of the assumption that structures are always perfectly ionic
there is changes to the value (so how strong the bonding is) due to polarisation. polarisation effects the experimental values, making the BH cycle value more
polarisation
the distortion of the electron cloud around an (atom or) ion by another nearby (atom or) ion.
smaller cations with a high charge have a high charge density. so they are very attractive to the e- cloud of the anion.
this is what gives Al ions its covalent character. it so strongly attracts the e- cloud of the anion that it is like a cov bond rather than the perfect points of +/- charge like in the PIM
what will give stronger polarisation
the smaller and more highly charged the cation is
and
the larger the anion. why? because the outer e- is further away and having more shielding so less eFoA. so the outer e- would be more easily attracted to high +ve charge density of cations. big anions are polarised more easily
how can you compare the experimental (BH) value with the theoretical (PIM) value, and why?
finding the % difference
exp - theoretical
———————– x 100
experimental
the % difference between them shows
- big: then there is more covalent character in the ionic lattice that the PIM can’t account for
- small: then the closer to having a perfect ionic structure, so no distortion/polarisation, ions are more like perfect points of +/- charge
why does more polarisation make the LEs stronger
if more cov character, stronger LE bc there is more attraction to overcome. need to overcome polarisation and ionic bonding
why are some ionic compounds insoluble in water
water molecules can’t provide enough energy to overcome ionic bonding as the solvent. lattice enthalpy is too high, ionic lattice is too strong
water doesn’t provide enough energy to overcome eFoA because eFoA is too strong. too strong lattice enthalpy
LE is high and significant cov character therefore water molecules can’t provide the energy