Vinegar is a common household chemcial with many different uses, from cleaning t

Question

Vinegar is a common household chemcial with many different uses, from cleaning to cooking. Vinegar is a solution of acetic acid in water. The vinegar you buy in the store is usually around a 5.0 % solution by mass, with a density of around 1.01 g/mL. (a) Determine the molarity of this solution. (b) If I use 1 cup of vinegar (236.588 mL) to help create a cleaning solution for my windows, how many molecules of acetic acid is this? (c) How many atoms of hydrogen are in 1 cup of vinegar? You must clearly show, label, and explain all work in detail to receive credit. Be careful to account for significant figures in your final answers.

Explanation / Answer

a) mass 1000 x 1.05 g/ml = 1050 g of acid (1000 ml) (1.05 g/ml) = 1050 grams of acid moles (1050 g HC2H3O2) (1 mole HC2H3O2 / 60.05 g) = 17.5 Molar b) 5% by mass acetic c) How many atoms of hydrogen are in 1 cup of vinegar? (5 gHC2H3O2)x (1 mole HC2H3O2 / 60.05 g) = 0.0833 moles of acid H2O in 100 grams of vinegar = 95 grams of water (95 gH2O)x (1 mole H2O / 18.01 grams) = 5.27 moles of water =5.35 moles acid's mole fraction = 0.0833 mol acid / 5.35 total mole = 0.0156

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