From 9e3ba01eb06361f71766473eab929a0e12dd644d Mon Sep 17 00:00:00 2001 From: Andrew Lorimer Date: Mon, 22 Apr 2019 19:03:14 +1000 Subject: [PATCH] [chem] clarify yield, enthalpy and rates notes --- chem/graphics/catalyst-graph.png | Bin 71604 -> 65690 bytes chem/graphics/ke-temperature.png | Bin 55038 -> 49310 bytes chem/graphics/rxn-complete.png | Bin 8449 -> 6976 bytes chem/graphics/rxn-incomplete.png | Bin 7492 -> 6077 bytes chem/reactions.md | 66 +++++++++++++++++++------------ chem/reactions.pdf | Bin 230477 -> 233169 bytes 6 files changed, 41 insertions(+), 25 deletions(-) diff --git a/chem/graphics/catalyst-graph.png b/chem/graphics/catalyst-graph.png index 7675cbecdfc57f0ee63d75c5d6f0694ee5802611..b4ecc2e4c41ba1cc222f796de7518de1d3059037 100644 GIT binary patch literal 65690 zcmdSBbySsW*FO5tC{l{3bV`FtN=rzmbSkNYAl;xKC`bs>B}juHAR>(dDlI8pQi~K= zg7ledyTA9m-*22T&NzRbwa4CD7Ov;HpF8Hf=5<|jJ=auMAU;cV7C{hVB}F-H1i?We 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- \usepackage{mhchem} + - \usepackage{tabularx} columns: 2 geometry: margin=2cm --- # Rates and Equilibria -## Energy profile diagrams +## Energy + +### Enthalphy + +$$\Delta H = H_{\text{products}} - H_{\text{reactants}}$$ + +**Endothermic** (products > reactants, $\Delta H > 0$) +**Exothermic** (reactants > products, $\Delta H < 0$) + +![](graphics/endothermic-profile.png){#id .class width=25%} +![](graphics/exothermic-profile.png){#id .class width=25%} + +### Activation energy $E_A$ $$E_A = E_{\text{max}} - E_{\text{initial}}$$ @@ -16,11 +29,14 @@ $$E_A = E_{\text{max}} - E_{\text{initial}}$$ - Most collisions are not fruitful - Energy must be greater than or equal to $E_A$ -**Endothermic** (products > reactants, $\Delta H > 0$) -**Exothermic** (reactants > products, $\Delta H < 0$) +### Kinetic energy -![](graphics/endothermic-profile.png) -![](graphics/exothermic-profile.png) +- **Temperature** - measure of _avg_ kinetic energy of particles. Over time each particle will eventually have enough energy to overcome $E_A$ +- Note same distribution indicates same temperature +- $\uparrow$ rate with $\uparrow T$ mainly caused by $\uparrow E_K \implies$ greater collision force +![](graphics/ke-temperature.png) + +## Rates **Ways to increase rate of reaction:** @@ -28,13 +44,7 @@ $$E_A = E_{\text{max}} - E_{\text{initial}}$$ 2. Increase concentration/pressure 3. Increase temperature -## Kinetic energy - -**Temperature** - measure of _avg_ kinetic energy of particles. Over time each particle will eventually have enough energy to overcome $E_A$. -Note same distribution indicates same temperature. -![](graphics/ke-temperature.png) - -## Catalysts +### Catalysts - alternate reaction pathway, with lower $E_A$ - increased rate of reaction @@ -47,8 +57,9 @@ Note same distribution indicates same temperature. **Hetrogenous** catalyst: different state, easily separated. Preferred for manufacturing. ![](graphics/catalyst-graph.png) -Many catalysts involve transition elements. -Haber process (ammonia producition) - enzymes are catalysts for one reaction each. Adsorption (bonding on surface) forms ammonia \ce{NH3} +- Many catalysts involve transition elements +- **Solid catalysts** - particles around catalyst with high surface energy *adsorb* gas molecules, lowering $E_A$ +- **Haber process** (ammonia producition) - enzymes are catalysts for one reaction each. Adsorption (bonding on surface) forms ammonia \ce{NH3}. ## Equilibrium systems @@ -56,22 +67,20 @@ Haber process (ammonia producition) - enzymes are catalysts for one reaction eac Reaction graphs - exponential/logarithmic curves for reaction rates with time (simultaneous curves forward/back) -![](graphics/rxn-complete.png){#id .class width=20%} -**Complete reaction** - all reactant becomes product - -![](graphics/rxn-incomplete.png){#id .class width=20%} -**Incomplete reaction** - goes both ways and reaches equilibrium +\begin{tabularx}{\columnwidth}{ | l | X |} + \hline + \parbox[c]{2.2cm}{\includegraphics[width=2cm]{graphics/rxn-complete.png} } & \textbf{Complete reaction} - all reactant becomes product \\ + \hline + \parbox[c]{2.2cm}{\includegraphics[width=2cm]{graphics/rxn-incomplete.png} } & \textbf{Incomplete reaction} - goes both ways and reaches equilibrium \\ + \hline +\end{tabularx} - All reactions are equilibrium reactions, but extent of backwards reaction may be negligible - Double arrow indicates equilibrium reaction - At equilibrium, rate of forward reaction = rate of back reaction. +- Approaching equilibrium, forward rate $>$ back rate -### States (not in course) - -- **Homogeneous** - all states are the same -- **Heterogeneous** - states are different - -## Equilibrium constant $K_c$ +### Equilibrium constant $K_c$ For \ce{$\alpha$A + $\beta$B + $\dots$ <=> $\chi$X + $\psi$Y + $\dots$}: @@ -88,6 +97,8 @@ If value is low ($< 10^4$), then [reactants] > [products] - **$K_c$ depends on direction that equation is written (L to R)** - If $K_c$ is small, equilibrium lies *to the left* - aka *equilibrium expression* +- For reverse reaction, use $K_c^\prime = {1 \over K_c}$ +- For coefficients, use $K_c^\prime = K_c^n$ ## Reaction constant (quotient) $Q$ @@ -122,6 +133,11 @@ Time-concentration graph: smooth change $$\text{yield \%} = {{\text{actual mass obtained} \over \text{theoretical maximum mass}} \times 100}$$ +- Yield may be lower than expected due to equilibrium reaction (incomplete) +- $\uparrow$ yield $\equiv$ forward rxn; $\downarrow$ yield $\equiv$ back rxn +- *Rate-yield conflict*: rxn is slower at eq. point further to RHS +- This is ameliorated by catalysts, high pressure and removal of product + ## Acid/base equilibria Strong acid: $\ce{HA -> H+ + A-}$ diff --git a/chem/reactions.pdf b/chem/reactions.pdf index 8419a6e06f7aa2dbf9dacb8c91eb77916fc42491..83780ebd665f26ca20b60c2e92ded695d1b996d2 100644 GIT binary patch delta 167181 zcmb4qWmFYW-!CFaDTtJGcS?tZbV_%FqzFj&020#OCEeZKAT2E*B_-Wmck?{&r@Pj> z?z(;e&Unt5nLT^||G(NJ-%-cYP%GjdA#G+6Ln|c-;rH*E)y*v&OcZP^tR1wOcsN+t zIZ57;yklbF=3(K~WtK4f^2Jb_mFXQ14-YrV|Mgp!SpNCX zb`mC*cRXxtBus1^TpZjaOkD3c-f@vIy?e*=jtBhWW?|`V;5AiK=( zEh1sHoNhC?S`%4aEn5xYa{h_TdMsS51dr=OBnEv#w4)-_UVrtp{Jih$Z$`;{y$zo|I3FuvMA%E z6_LP~d1GocwYVJr-J7c}K={u&7<9{Yo3XL61KgfYw$LYzwJt2yk-}w@Mf7xlw!)#& z?R;mk*|}DWF(qv9890{WkG}ettyXNa*hCpKaIoASG5_?|oDOKhH`rS`H`=g;_jT>l 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