How many hydrogen atoms are present in 1.02 mg of aspartame?
I already got that there are 2.08e18 molecules of aspartame in 1.02mg of aspartame but i am not sure how to find how many atoms of hydrogen there are
it is wrong
The molecular formula for aspartame is C14H18N2O5. There are 18 atoms H in 1 molecule of aspartame. You know molecules of aspartame and that x 18. right?
To find the number of hydrogen atoms in 1.02 mg of aspartame, you will need to know the chemical formula of aspartame. The chemical formula for aspartame is C14H18N2O5.
To determine the number of hydrogen atoms, you can multiply the number of molecules of aspartame by the coefficient of hydrogen in the chemical formula. In this case, the coefficient is 18, as there are 18 hydrogen atoms in one molecule of aspartame.
So, to calculate the number of hydrogen atoms in 1.02 mg of aspartame:
1. Convert the mass of aspartame from milligrams (mg) to grams (g).
1.02 mg = 0.00102 g
2. Find the molar mass of aspartame, which is the sum of the atomic masses of all the atoms in the formula.
C14H18N2O5:
(14 * atomic mass of C) + (18 * atomic mass of H) + (2 * atomic mass of N) + (5 * atomic mass of O)
3. Using the periodic table, you can determine the atomic masses:
- Atomic mass of C: 12.01 g/mol
- Atomic mass of H: 1.008 g/mol
- Atomic mass of N: 14.01 g/mol
- Atomic mass of O: 16.00 g/mol
4. Calculate the molar mass of aspartame:
(14 * 12.01) + (18 * 1.008) + (2 * 14.01) + (5 * 16.00) = 294.3 g/mol
5. Calculate the number of moles of aspartame:
moles = mass / molar mass
moles = 0.00102 g / 294.3 g/mol = 3.47e-6 mol (approximately)
6. Multiply the number of moles of aspartame by Avogadro's number (6.02214076 × 10^23) to find the number of molecules:
molecules = moles * Avogadro's number
molecules = 3.47e-6 mol * 6.02214076 × 10^23 = 2.09e18 molecules (approximately)
7. Finally, multiply the number of molecules by the coefficient of hydrogen to find the number of hydrogen atoms:
hydrogen atoms = molecules * 18
hydrogen atoms = 2.09e18 * 18 = 3.77e19 hydrogen atoms
Therefore, there are approximately 3.77 × 10^19 hydrogen atoms in 1.02 mg of aspartame.
To find the number of hydrogen atoms in 1.02 mg of aspartame, you can use the Avogadro's number and the chemical formula of aspartame.
1. Begin by determining the molar mass of aspartame. The molecular formula of aspartame is C14H18N2O5.
The atomic mass of carbon (C) is 12.01 g/mol.
The atomic mass of hydrogen (H) is 1.01 g/mol.
The atomic mass of nitrogen (N) is 14.01 g/mol.
The atomic mass of oxygen (O) is 16.00 g/mol.
Multiply the atomic mass of each element by the number of atoms present in the formula and add them together:
(14 * 12.01 g/mol) + (18 * 1.01 g/mol) + (2 * 14.01 g/mol) + (5 * 16.00 g/mol) = 294.30 g/mol
2. Now, convert the mass of aspartame from milligrams to grams, since the molar mass is given in grams/mol:
1.02 mg = 0.00102 g
3. Use the molar mass to convert the mass of aspartame to moles:
Moles = Mass / Molar mass
Moles = 0.00102 g / 294.30 g/mol = 3.46e-6 mol
4. Since aspartame has a 1:2 ratio of hydrogen atoms to aspartame molecules, multiply the number of moles of aspartame by 2 to find the moles of hydrogen atoms:
Moles of hydrogen atoms = 3.46e-6 mol * 2 = 6.92e-6 mol
5. Finally, convert the moles of hydrogen atoms to the number of atoms using Avogadro's number, which is 6.022e23 atoms/mol:
Number of hydrogen atoms = Moles of hydrogen atoms * Avogadro's number
Number of hydrogen atoms = 6.92e-6 mol * 6.022e23 atoms/mol ≈ 4.16e18 atoms
Therefore, there are approximately 4.16e18 hydrogen atoms in 1.02 mg of aspartame.