Aspartame,C₁₄H₁₈N₂O₅,a low-calorie sweetener,is about 200 times sweeter than sugar.How many molecules of aspartame are there in a one-gram packet of sweetener containing 36 mg aspartame?

Question

Quizplus · Accepted Answer

First, calculate the molar mass of aspartame using the given formula: C14H18N2O5. The molar mass is (12*14) + (1*18) + (14*2) + (16*5) = 294 g/mol. Then, convert 36 mg of aspartame to grams (0.036 g) and use Avogadro's number (6.022 × 10^23 molecules/mol) to find the number of molecules: (0.036 g / 294 g/mol) * (6.022 × 10^23 molecules/mol) = 7.4 × 10^19 molecules.

Aspartame,C14H18N2O5,a Low-Calorie Sweetener,is About 200 Times Sweeter Than Sugar

Aspartame,C₁₄H₁₈N₂O₅,a Low-Calorie Sweetener,is About 200 Times Sweeter Than Sugar