Carminic acid, a naturally occurring pigment extracted from the cochineal insect contains only carbon hydrogen and oxygen. It was commonly used as a dye in the first half of the nineteen century. It is 53.66% C and 4.09% H by mass. A tritation required 18.02 ml of 0.0406 M NaOH to neutralize 0.3602 g carminic acid. Asuming that there is only one acidic hydrogen per molecule, what is the molecular formula of carminic acid?
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