Question

Using the answer from 3.51, how many molecules of aspartame are in 1.2 grams of aspartame?

A) 2.23x10E-2 molecules
B) 2.46x10E21 molecules
C) 491 molecules
D) 0.223 molecules

Answer 1

By converting 1.2 grams of aspartame to moles and then multiplying by Avogadro's number, we find that there are 2.46x10^21 molecules of aspartame in 1.2 grams, which corresponds to option B.

Step-by-step explanation:

To determine how many molecules of aspartame are in 1.2 grams of aspartame, we need to use the molar mass of aspartame and Avogadro's number. Aspartame has a molar mass of approximately 294 grams per mole (not provided in the reference data, but it is calculated from its molecular formula C14H18N2O5, where the atomic masses of carbon (C), hydrogen (H), nitrogen (N), and oxygen (O) are approximately 12.011 g/mol, 1.008 g/mol, 14.007 g/mol, and 15.999 g/mol respectively).

Firstly, we convert the mass of aspartame to moles by dividing by the molar mass:

Number of moles = mass (g) / molar mass (g/mol) = 1.2 g / 294 g/mol = 4.08 x 10-3 mol

Now, we multiply the number of moles by Avogadro's number to find the number of molecules:

Number of molecules = moles x Avogadro's number = 4.08 x 10-3 mol x 6.022 x 1023 molecules/mol = 2.46 x 1021 molecules

Hence, the correct answer is B) 2.46x1021 molecules.