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Unless the compound you are titrating is air sensitive, which is uncommon, the main effect of air on a titration is on the strong base solution. If you are titrating a weak acid with a strong base, then the strong base solution must be very carefully standardized so that you know the exact number of moles of base. However, carbon dioxide (CO2) in the air can combine with water to form carbonic acid (H2CO3). When CO2 mixes with the water of the strong base solution forming H2CO3, it will tend to slightly neutralize it, reducing the actual concentration base in the solution.

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Q: What is the effect on a titration if the solution is exposed to air?
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