An aqueous solution of ethanol (MM = 46.07 g/mol) has a molality of 12.15 m and a density of 1.100 g/mL. What is the molarity of ethanol in the solution?

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Problem 12.138QP: An aqueous solution is 20.0% by mass of sodium thiosulfate pentahydrate, Na2S2O35H2O. What is the...
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An aqueous solution of ethanol (MM = 46.07 g/mol) has a molality of 12.15 m and a density of 1.100 g/mL. What is the molarity of ethanol in the solution?
 
 
Expert Solution
Step 1:- Calculation of number of moles of ethanol

Solution :The values provided in the question are:i) Molarity of ethanol solution = 12.15 mii) Molar mass of ethanol = 46.07 g/moliii) Density of ethanol solution = 1.100 g/mLLet us assume that the mass of solvent be 100 g or 0.1 Kgwe know that , the formula to calculate molarity of ethanol solution is,Molarity of ethanol solution = Number of moles of ethanolMass of solvent in Kgor Number of moles of ethanol = Molarity of ethanol solution   x  Mass of solvent in kg                                                         = 12.15 m x 0.1 kg                                                          = 12.15 molkg x 0.1 kg                                                           = 12.15 mol x 0.1                                                           = 1.215 mol

 

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