We’re being asked to calculate the molarity of a saturated solution of the free-base form of cocaine in ethanol given its solubility.
Recall that molarity is the ratio of the moles of solute and the volume of solution (in liters). In other words:
We’re given the solubility of free-base cocaine in ethanol. Recall that Solubility is the maximum amount of solute that can dissolve in a solvent.
The steps we need to do for this solution are:
Step 1: Calculate the moles of free-base cocaine (C17H21NO4)
Step 2: Calculate the volume of the solution (in L).
Step 3: Calculate the molarity of the saturated solution.
The "free-base" form of cocaine (C17H21NO4) and its protonated hydrochloride form (C17H22ClNO4) are shown below; the free-base form can be converted to the hydrochloride form with one equivalent of HCl. For clarity, not all the carbon and hydrogen atoms are shown; each vertex represents a carbon atom with the appropriate number of hydrogen atoms so that each carbon makes four bonds to other atoms.
The free-base form of cocaine has a solubility of 1.00 g in 6.70 mL ethanol (CH3CH2OH). Calculate the molarity of a saturated solution of the free-base form of cocaine in ethanol.
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