Question

How many molecules are in 100g of aspartame?

A) 1.20 x 10²⁴
B) 2.41 x 10²⁴
C) 4.81 x 10²⁴
D) 9.62 x 10²⁴

Answer 1

To find the number of molecules in 100g of aspartame, divide the mass by the molar mass to get the number of moles, then multiply by Avogadro's number to get the number of molecules.

Step-by-step explanation:

To determine the number of molecules in 100g of aspartame, we need to use Avogadro's number and the molar mass of aspartame. The molar mass of aspartame (C14H18N2O2) is 294.30 g/mol. To find the number of moles in 100g, we divide the mass by the molar mass: 100g / 294.30 g/mol = 0.3396 mol.

Next, we can use Avogadro's number (6.022 x 10^23) to find the number of molecules. Multiply the number of moles by Avogadro's number: 0.3396 mol x 6.022 x 10^23 molecules/mol = 2.04 x 10^23 molecules.

Therefore, the correct answer is A) 2.04 x 10^23 molecules.