35% chemical equilibria · 65% acid/base equilibria
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Average 50375: 65.56
Avegage 50380: 63.25
ALL Average: 64.30
Median: 64.5
Std Dev: 22.81
Total 100's: 6
Average: 72.04 (after quiz add-ons)
\(a\,{\rm A} + b\,{\rm B} \rightleftharpoons c\,{\rm C} + d\,{\rm D}\)
mass action: \( \displaystyle{ {a_{\rm C}^c \cdot a_{\rm D}^d} \over {a_{\rm A}^a \cdot a_{\rm B}^b} }\) (activities, \(K\))
mass action: \(\displaystyle{[{\rm C}]^c[{\rm D}]^d\over[{\rm A}]^a[{\rm B}]^b}\) (concentrations, \(K_{\rm c}\))
mass action: \(\displaystyle{P_{\rm C}^{\,c}P_{\rm D}^{\,d}\over P_{\rm A}^{\,a}P_{\rm B}^{\,b}}\) (gases, \(K_{\rm p}\))
\(\Delta G = \Delta G^\circ + RT\ln Q\)
\(\Delta G^\circ = -RT\ln K\)
\(K = e^{-\Delta G^\circ\over RT}\)
if Q < K shift right →
if Q > K ← shift left
if Q = K no change ⇌
Van't Hoff Equation: \(\ln\left({K_2\over K_1}\right) = {\Delta H\over R}\left({1\over T_1} - {1\over T_2}\right)\)
some equilibrium conditions
acid = a proton donor
base = a proton acceptor
\(K_{\rm w} = {\rm [H^+][OH^-]}\)
\(\rm pH = -log[H^+] \hskip24pt [H^+] = 10^{-pH}\)
\(\rm pOH = -log[OH^-] \hskip24pt [OH^-] = 10^{-pOH}\)
\(\displaystyle{K_{\rm a} = {\rm {[H^+][A^-]}\over [HA]}}\)
\(\displaystyle{K_{\rm b} = {\rm {[OH^-][BH^+]}\over [B]}}\)
conjugate pairs: \(K_{\rm w} = K_{\rm a}K_{\rm b}\)
\(\rm pH = p{\it K}_{\rm a} + \log\left({[A^-]\over [HA]}\right)\)
Periodic Table
Conversion factors
Students will be able too...
Students will be able to...