why is an acid-base indicator (like methyl orange) attributed with a range rather than a single pH which it changes colour at?
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The basic idea is that there is a reaction:
Basically, the HI and I- compounds are conjugate acid/bases, and they are coloured, which helps to serve their purpose as indicators. Also note that one of HI or I- can also be colourless, as only one needs to be coloured for it to serve its purpose.
However, HI and I- will co-exist but at different percentages depending on the "position of the reaction" (may make no sense without knowledge of equilibrium).
This means there will be two coloured compounds co-existing, which will cause ambiguity (i.e.: is it red or yellow?). For that reason, most likely previous chemists have defined a particular pH range when it is "officially" yellow or "officially" red. (This range would probably be based on some calculated percentage that one of the compounds must reach before it becomes "officially" one colour or the other)
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