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Lecture 12

PHYSCI 13 Lecture Notes - Lecture 12: Dissociation Constant


Department
Physiological Science
Course Code
PHYSCI 13
Professor
Anthony Friscia
Lecture
12

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ĞƌĞďƌƵŵ
WĂƌƚƐ
ŝǀŝĚĞƚŚĞĐĞƌĞďƌƵŵŝŶƚŽǀĂƌŝĞƐŽĨůŽďĞƐ
&ƌŽŶƚĂůůŽďĞ
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WĂƌŝĞƚĂůůŽďĞ
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KĐĐŝƉŝƚĂůůŽďĞ
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dĞŵƉŽƌĂůůŽďĞ
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/ŶƐƵůĂůŽďĞ;ĚĞĞƉĂƌĞĂŽĨŐƌĞLJŵĂƚƚĞƌͿ
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ĞƌĞďƌƵŵŚĂƐĂďƵŶĐŚŽĨĨŽůĚƐĐĂůůĞĚŐLJƌŝ;ƚŚĞŚŝŐŚͬƚĂůůƉĂƌƚƐͿĂŶĚƐƵůĐŝ;ĚĞĞƉƉĂƌƚ
ďĞůŽǁƚŚĞŐLJƌŝͿ
>ŽŶŐŝƚƵĚŝŶĂůĨŝƐƐƵƌĞ;ĂƐƵůĐƵƐͿͲ ĚŝǀŝĚĞƐƚŚĞďƌĂŝŶ;ƚŚĞĐĞƌĞďƌƵŵͿŝŶƚŽ
ŚĞŵŝƐƉŚĞƌĞƐ;ŝŶƚŽƚǁŽŚĂůĨƐͿ
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ĞŶƚƌĂůƐƵůĐƵƐͲ ďĞƚǁĞĞŶƚŚĞĨƌŽŶƚĂůĂŶƉĂƌŝĞƚĂůůŽďĞ
WƌĞĐĞŶƚƌĂůŐLJƌƵƐ;ŝŶƚŚĞĨƌŽŶƚĂůůŽďĞͿ
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WŽƐƚĐĞŶƚƌĂůŐLJƌƵƐ;ŝŶƚŚĞƉĂƌŝĞƚĂůůŽďĞͿ
ż
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>ĂƚĞƌĂůƐƵůĐƵƐͲ ƐƵƉĞƌŝŽƌďŽƌĚĞƌŽĨƚĞŵƉŽƌĂůůŽďĞ;ďĞƚǁĞĞŶƚĞŵƉŽƌĂůĂŶĚ
ƚŚĞĨƌŽŶƚĂůнƉĂƌŝĞƚĂů͘/ƚŝƐĚĞĞƉŝŶŚĞƌĞƚŚĂƚLJŽƵĨŝŶĚƚŚĞŝŶƐƵůĂͿ
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&ƵŶĐƚŝŽŶƐŽĨƚŚĞůŽďĞ
&ƌŽŶƚĂůůŽďĞ
,ĂƐŵŽƐƚŽĨƚŚĞŵŽƚŽƌ;ƐŝŐŶĂůƐƚŚĂƚŽƌŝŐŝŶĂƚĞŝŶƚŚĞďƌĂŝŶĂŶĚŐŽĞƐ
ŽƵƚŝŶƚŽŵƵƐĐůĞƐŽƌŐůĂŶĚƐͿ
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WƌĞĨƌŽŶƚĂůĂƌĞĂͲ ŵŽƐƚĂŶƚĞƌŝŽƌƉĂƌƚŽĨĨƌŽŶƚĂůůŽďĞ͘dŚŝƐŝƐƚŚĞĂƌĞĂ
ƚŚĂƚŝƐĂƐƐŽĐŝĂƚĞĚǁŝƚŚŚŝŐŚĞƌƚŚŽƵŐŚƚƐ͘dŚŝƐŝƐǁŚĞƌĞLJŽƵĚŽLJŽƵƌ
ƚŚŝŶŬŝŶŐ͘ƌĞĂƚŚĂƚŝƐĞŶůĂƌŐĞĚŝŶŚƵŵĂŶƐ
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WƌĞŵŽƚŽƌĂƌĞĂͲ ƉůĂŶŵŽƚŝŽŶ
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WƌŝŵĂƌLJŵŽƚŽƌĂƌĞĂͲ ŝƐŵŽƐƚůLJŝŶƚŚĞƉƌĞĐĞŶƚƌĂůŐLJƌƵƐ͘tŚĞŶƚŚĞ
ŵŽƚŝŽŶĂĐƚƵĂůůLJŽƌŝŐŝŶĂƚĞƐ;ĂĐƚŝŽŶĂƌĞĂͿ
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ƌŽĐĂΖƐĂƌĞĂͲ ŵŽƚŽƌĂƌĞĂƚŚĂƚŝƐĂƐƐŽĐŝĂƚĞĚǁŝƚŚůĂŶŐƵĂŐĞͬƐƉĞĞĐŚ
;ĂƌĞĂŽĨƐĂLJŝŶŐƐƉĞĞĐŚͿ
ż
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WĂƌŝĞƚĂůůŽďĞ
WƌŝŵĂƌLJƐŽŵĂƚŽƐĞŶƐŽƌLJĂƌĞĂͲ ŝƐŝŶƚŚĞƉŽƐƚĐĞŶƚƌĂůŐLJƌƵƐ
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^ĞĐŽŶĚĂƌLJƐŽŵĂƚŽƐĞŶƐŽƌLJĂƌĞĂ
dŚĞƐĞĂƌĞďŽƚŚŐĞŶĞƌĂůƐĞŶƐĞƐ͘^ĞŶƐĞƐƚŚĂƚĂƌĞĂƐƐŽĐŝĂƚĞĚǁŝƚŚ
ƚŚĞƐŬŝŶ;ƚŽƵĐŚ͕ƉĂŝŶ͕ƚĞŵƉĞƌĂƚƵƌĞ͕ƉƌĞƐƐƵƌĞͿ
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dĂƐƚĞͲ ĂůƐŽŬŶŽǁŶĂƐƚŚĞŐƵƐƚĂƚŽƌLJ
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WĂƌƚŽĨƚŚĞtĞƌŶŝĐŬĞΖƐĂƌĞĂͲ ƚŚŝƐŝƐƚŚĞƉĂƌƚƚŚĂƚŝƐĂƐƐŽĐŝĂƚĞĚǁŝƚŚ
ƵŶĚĞƌƐƚĂŶĚŝŶŐůĂŶŐƵĂŐĞ
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KĐĐŝƉŝƚĂů
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dž͗ƉƌŝŵĂƌLJͲ LJŽƵƐĞĞƐŽŵĞƚŚŝŶŐĐŽŵŝŶŐƚŽǁĂƌĚƐLJŽƵĂŶĚŝƚΖƐƌŽƵŶĚ͕
ƐĞĐŽŶĚĂƌLJͲ ŝƚΖƐĂƉĞƌƐŽŶĂŶĚŵLJĨƌŝĞŶĚ:ŽĞ
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dĞŵƉŽƌĂů
WƌŝŵĂƌLJ;ƉĞƌĐĞƉƚŝŽŶͿĂŶĚƐĞĐŽŶĚĂƌLJĂƵĚŝƚŽƌLJ
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dž͗ƉƌŝŵĂƌLJͲ /ŚĞĂƌĂƐŽƵŶĚǁŝƚŚĂƉĂƌƚŝĐƵůĂƌƉŝƚĐŚ͕ƐĞĐŽŶĚĂƌLJͲ ƚŚĂƚΖƐ
ƌ͘&ƌŝƐĐŝĂΖƐǀŽŝĐĞ
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tĞƌŶŝĐŬĞΖƐĂƌĞĂ;ƉĂƌƚŽĨŝƚͿ
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dŚĞƐĞŶƐŽƌLJĂƌĞĂƐĂƌĞŝŶĂůůŽĨƚŚĞůŽďĞƐĞdžĐĞƉƚƚŚĞĨƌŽŶƚĂůůŽďĞ
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ϭϭ͗ϯϰD
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DŽƚŽƌĂƌĞĂ
/ƐĂůůŝŶƚŚĞĨƌŽŶƚĂůůŽďĞ
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dŚĞƐĞŶƐŽƌLJĂŶĚŵŽƚŽƌĂƌĞĂƐĂƌĞĂůůĐŽƌƚĞdžƌĞŐŝŽŶƐ͘
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dŚĞƐĞĂƌĞĂůůŚĂƉƉĞŶŝŶŐĂƚƚŚĞĐĞůůďŽĚLJ;ƚŚĞƐƵƌĨĂĐĞŽĨƚŚĞďƌĂŝŶͿͲ ŐƌĞLJŵĂƚƚĞƌ
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WƌŽĐĞƐƐŝŶŐŚĂƉƉĞŶƐĂƚƚŚĞĐĞůůďŽĚLJďĞĐĂƵƐĞƚŚĞĂdžŽŶƐ;ŝŶƚŚĞǁŚŝƚĞŵĂƚƚĞƌ
ĚŽĞƐŶΖƚĚŽĂŶLJƚŚŝŶŐŝŶƉƌŽĐĞƐƐŝŶŐͲ ƚŚĞLJĂƌĞũƵƐƚĐĂƌƌLJŝŶŐƐŝŐŶĂůƐĨƌŽŵŽŶĞƉůĂĐĞ
ƚŽĂŶŽƚŚĞƌͿ
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^ŽŵĂƚŝĐ
^ĞŶƐŽƌLJĂŶĚ
ƉƌŝŵĂƌLJŵŽƚŽƌ
ĂƌĞĂƐͲ
ƐŽŵĂƚŽƚŽƉLJ
dŚĞƐŽŵĂƚŝĐƐĞŶƐŽƌLJĂŶĚƚŚĞƉƌŝŵĂƌLJŵŽƚŽƌĂƌĞůĂŝĚŽƵƚĂƐůŝƚƚůĞŵĂƉƐŽĨƚŚĞďŽĚLJ
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DĂƉŽĨƉĂƌƚŝĐƵůĂƌƌĞŐŝŽŶŝŶƚŚĞďŽĚLJƚŚĂƚĐŽƌƌĞůĂƚĞƐǁŝƚŚƚŚĞƉĂƌƚŝĐƵůĂƌƌĞŐŝŽŶŝŶ
ƚŚĞďƌĂŝŶ
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dŚĞƌĞŝƐŵŽƌĞĐŽƌƚĞdžƚŚĂƚŝƐĂƐƐŽĐŝĂƚĞĚǁŝƚŚƚŚĞŵŽƚŽƌŽĨƚŚĞŚĂŶĚ͕ďĞĐĂƵƐĞĂůŽƚ
ǁŝƚŚŽƵƌŚĂŶĚƐ͘tŚĞƌĞŝƚΖƐƚŚĞŽƉƉŽƐŝƚĞǁŝƚŚŽƵƌƚƌƵŶŬ͘dŚĞƌĞŝƐŵŽƌĞĐŽƌƚĞdžƚŚĂƚ
ŝƐĂƐƐŽĐŝĂƚĞĚǁŝƚŚƐĞŶƐŽƌLJŝŶŽƵƌƚƌƵŶŬ
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;ůŽŽŬĂƚƚŚĞϱƚŚƐůŝĚĞĨŽƌƉŝĐƚƵƌĞͿ
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^ŽŵĂƚŽƚŽƉLJͲ ďŽĚLJŵĂƉƉŝŶŐͲхŵĂƉƉŝŶŐŽƵƚǁŚŝĐŚƉĂƌƚŽĨƚŚĞďƌĂŝŶŝƐĂƐƐŽĐŝĂƚĞĚ
ǁŝƚŚǁŚŝĐŚďŽĚLJƉĂƌƚ
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DĂŬŝŶŐƐƉĞĞĐŚ
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dŚĞĨŝƌƐƚƚŚĂƚŐĞƚƐƚŝŵƵůĂƚĞĚŝƐƚŚĞǀŝƐƵĂůĂƌĞĂ;ƚŚĞƐŝŐŶĂůĨƌŽŵLJŽƵƌĞLJĞƐĂƌĞ
ŐĞƚƚŝŶŐƉƌŽĐĞƐƐĞĚͿ
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dŚĞƐŝŐŶĂůǁŽƵůĚƚŚĞŶďĞƐĞŶĚƚŽƚŚĞtĞƌŶŝĐŬĞΖƐĂƌĞĂƚŽĂůůŽǁĨŽƌ
ƵŶĚĞƌƐƚĂŶĚŝŶŐŽĨǁŚĂƚLJŽƵĂƌĞƌĞĂĚŝŶŐ
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dŽĨŽƌŵĂƌĞƐƉŽŶĚ͕LJŽƵǁŽƵůĚƐĞŶĚƚŚĞƐŝŐŶĂůƚŽƚŚĞďƌŽĐĂΖƐĂƌĞĂǁŚŝĐŚ
ǁŽƵůĚƐĞŶĚĂƐŝŐŶĂůƚŽƚŚĞŵŽƚŽƌĂƌĞĂ
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/ĨLJŽƵĂƌĞůŝƐƚĞŶŝŶŐƚŽƐƉĞĞĐŚ
dŚĞĨŝƌƐƚƚŚŝŶŐƚŚĂƚŐĞƚƐƚŝŵƵůĂƚĞĚŝƐƚŚĞĂƵĚŝƚŽƌLJĂƌĞĂ
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ŶĚƚŚĞŶƚŚĞƐĂŵĞƚŚŝŶŐǁŽƵůĚŚĂƉƉĞŶĂƐŝƚĚŝĚǁŝƚŚƚŚĞǀŝƐƵĂůĂƌĞĂ
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zŽƵƌďƌĂŝŶĚŽĞƐƚŚŝƐǀĞƌLJƋƵŝĐŬůLJ
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ĂƐŝĐdŝƐƐƵĞ
KƌŐĂŶŝnjĂƚŝŽŶ
dŚĞƌĞĂƌĞŐƌĞLJŵĂƚƚĞƌĂƌĞĂƚŚĂƚĂƌĞĚĞĞƉǁŝƚŚŝŶƚŚĞďƌĂŝŶĐĂůůĞĚƚŚĞďĂƐĂůŶƵĐůĞŝ
dŚĞƌĞĂƌĞƐŽŵĞŝŶƚŚĞĐĞƌĞďƌƵŵ
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ĂƐĂůŶƵĐůĞŝ;ŐĂŶŐůŝĂͿŚĂǀĞŵŽƌĞŝŶƚĞŐƌĂƚŝǀĞĨƵŶĐƚŝŽŶƐ
ŽƚŚŝŶŐƐůŝŬĞŝŶŝƚŝĂƚŝŶŐŵŽƚŽƌ
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/ŶƚĞŐƌĂƚŝŶŐŵŽƚŽƌĂŶĚƐĞŶƐŽƌLJŝŶĨŽƌŵĂƚŝŽŶ
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ĂƐĂůŶƵĐůĞŝŝƐƉůĂĐĞƐǁŚĞƌĞLJŽƵĂƌĞŝŶƚĞŐƌĂƚŝŶŐŝŶĨŽƌŵĂƚŝŽŶƚŽŐĞƚŚĞƌ
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^ŽŵĞŽĨƚŚĞďĂƐĂůŶƵĐůĞŝĂƌĞĂƐƐŽĐŝĂƚĞĚǁŝƚŚŝŶƚĞŐƌĂƚŝŶŐŵŽƚŝŽŶƐ
dŚĞƌĞĂƌĞƐŽŵĞĚŝƐĞĂƐĞƐƚŚĂƚĐĂŶĂƚƚĂĐŬƚŚĞĐĞůůƐŽĨƚŚĞďĂƐĂůŶƵĐůĞŝ
WĂƌŬŝŶƐŽŶĚŝƐĞĂƐĞĂŶĚŶƚŝŶŐƚŽŶĚŝƐĞĂƐĞ
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EƵĐůĞŝͲ ŐƌĞLJŵĂƚƚĞƌĚĞĞƉǁŝƚŚŝŶƚŚĞďƌĂŝŶ;E^Ϳ
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'ĂŶŐůŝĂͲ ŐƌĞLJŵĂƚƚĞƌŝŶƚŚĞƉĞƌŝƉŚĞƌĂůƌĞŐŝŽŶƐ;WE^Ϳ
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^ŵĞůůĚŽĞƐŶΖƚŚĂǀĞŝƚŽǁŶĂƌĞĂŝŶƚŚĞĐŽƌƚĞdž
tŚĞƌĞLJŽƵƉĞƌĐĞŝǀĞƐŵĞůůŝƐƉĂƌƚŽĨƚŚĞůŝŵďŝĐƐLJƐƚĞŵ
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>ŝŵďŝĐƐLJƐƚĞŵсŐƌŽƵƉŽĨŶƵĐůĞŝƚŚĂƚŝƐůŽĐĂƚĞĚŝŶƚŚĞĐĞƌĞďƌƵŵĂŶĚ
ĚŝĞŶĐĞƉŚĂůŽŶ
dŚŝƐŝƐƚŚĞĂƌĞĂƚŚĂƚŝƐĂƐƐŽĐŝĂƚĞĚǁŝƚŚŽůĨĂĐƚŝŽŶ;ƐŵĞůůͿ͕ĂƐƐŽĐŝĂƚĞĚ
ŵĂŬŝŶŐŵĞŵŽƌLJ͕ĂŶĚŝƐĂƐƐŽĐŝĂƚĞĚǁŝƚŚďĂƐĂůĞŵŽƚŝŽŶƐ;ƉƌŝŵŝƚŝǀĞ
ĞŵŽƚŝŽŶƐͲ ŚƵŶŐĞƌ͕ƐĞdžĚƌŝǀĞ͕ĨĞĂƌͿ
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dŚŝƐĂƌĞŝƐĂƐƐŽĐŝĂƚĞĚǁŝƚŚƉƌŝŵŝƚŝǀĞĞŵŽƚŝŽŶƐ͕ƐŽŝƚΖƐƐƚƌĂŶŐĞƚŚĂƚ
ƐŵĞůůŝƐĂƉĂƌƚŽĨƚŚŝƐ
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^ŽŵĞĂƌĞĂŝŶƚŚĞďƌĂŝŶƚŚĂƚŝƐĂƐƐŽĐŝĂƚĞĚǁŝƚŚƚŚŝƐŝƐƚŚĞ
ŚŝƉƉŽĐĂŵƉƵƐ;ŵĂŬŝŶŐŵĞŵŽƌLJͿĂŶĚĂŵLJŐĚĂůĂ;ĨĞĂƌƌĞƐƉŽŶƐĞƐͿ
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ƉĞƌƐƉĞĐƚŝǀĞ;ĐŽůŽƌ͕ƐŚĂƉĞ͕ĞƚĐͿ
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