Delving into the realm of “how many atoms of nitrogen are in 1.2 g aspartame,” this discourse embarks on an enlightening journey, unraveling the intricate molecular composition of this artificial sweetener. Prepare to be immersed in a tapestry of scientific precision, where clarity and rigor converge to illuminate the intricacies of this intriguing substance.
Aspartame, a ubiquitous sugar substitute, has sparked scientific curiosity due to its unique chemical structure. Understanding the number of nitrogen atoms within a specific quantity of aspartame unveils insights into its molecular composition and properties. This exploration will delve into the fundamental concepts of molar mass, atomic mass, and Avogadro’s number, equipping us with the tools to unravel the mysteries of aspartame’s atomic makeup.
How Many Atoms of Nitrogen Are in 1.2 g Aspartame?
Aspartame is an artificial sweetener commonly used in diet foods and beverages. It is approximately 200 times sweeter than sucrose, making it a popular choice for weight-conscious individuals. Understanding the chemical composition of aspartame is crucial for determining the number of atoms of nitrogen present in a given quantity.
1. Chemical Composition of Aspartame
Aspartame has a molecular structure of C14H18N2O5. This indicates that each molecule of aspartame contains 14 carbon atoms, 18 hydrogen atoms, 2 nitrogen atoms, and 5 oxygen atoms.
2. Molar Mass and Atomic Mass
Molar mass is the mass of one mole of a substance, while atomic mass is the mass of one atom of an element. The molar mass of aspartame is 294.3 g/mol, and the atomic mass of nitrogen is 14.01 g/mol.
3. Number of Atoms in 1.2 g Aspartame, How many atoms of nitrogen are in 1.2 g aspartame
To determine the number of atoms of nitrogen in 1.2 g of aspartame, we need to convert the mass to moles using the molar mass:
- 2 g aspartame
- (1 mol aspartame / 294.3 g aspartame) = 0.00408 mol aspartame
Then, we multiply the number of moles by Avogadro’s number (6.022 x 10^23 molecules/mol) to obtain the total number of molecules in 1.2 g aspartame:
- 00408 mol aspartame
- (6.022 x 10^23 molecules/mol) = 2.459 x 10^21 molecules of aspartame
Finally, we determine the number of nitrogen atoms in each molecule of aspartame (2) and multiply it by the total number of molecules:
- nitrogen atoms/molecule
- 2.459 x 10^21 molecules = 4.918 x 10^21 nitrogen atoms
4. Visual Representation
The following table summarizes the composition and calculations related to aspartame:
Element | Atomic Mass (g/mol) | Number of Atoms per Molecule | Total Number of Atoms in 1.2 g Aspartame |
---|---|---|---|
Carbon | 12.01 | 14 | 3.435 x 10^22 |
Hydrogen | 1.01 | 18 | 4.426 x 10^22 |
Nitrogen | 14.01 | 2 | 4.918 x 10^21 |
Oxygen | 16.00 | 5 | 1.229 x 10^22 |
Helpful Answers: How Many Atoms Of Nitrogen Are In 1.2 G Aspartame
What is the molecular formula of aspartame?
C14H18N2O5
How many moles of aspartame are present in 1.2 g?
0.01 moles
How many molecules of aspartame are in 1.2 g?
6.022 x 10^23 molecules