Calculate the molar mass of caffeine, CgH10N402.
• 194.22 g
O 110.15 g
O 43.03 g
• 194 g
To calculate the molar mass of caffeine, we need to determine the atomic masses of each element in the compound and sum them up.
The atomic masses are as follows:
- Carbon (C) = 12.01 g/mol
- Hydrogen (H) = 1.01 g/mol
- Nitrogen (N) = 14.01 g/mol
- Oxygen (O) = 16.00 g/mol
Now, we can calculate the molar mass of caffeine:
(1 * C) + (10 * H) + (1 * N) + (4 * O)
= (1 * 12.01 g/mol) + (10 * 1.01 g/mol) + (1 * 14.01 g/mol) + (4 * 16.00 g/mol)
= 12.01 g/mol + 10.10 g/mol + 14.01 g/mol + 64.00 g/mol
= 100.12 g/mol + 78.01 g/mol
= 178.13 g/mol
Therefore, the molar mass of caffeine is approximately 178 g/mol, which is closest to the option provided.
To calculate the molar mass of caffeine (C8H10N4O2), we need to find the atomic masses of each element in the compound and multiply it by the number of atoms of that element.
The atomic masses of the elements are as follows:
C (carbon) = 12.01 g/mol
H (hydrogen) = 1.01 g/mol
N (nitrogen) = 14.01 g/mol
O (oxygen) = 16.00 g/mol
Now let's calculate the molar mass:
C: 8 atoms x 12.01 g/mol = 96.08 g/mol
H: 10 atoms x 1.01 g/mol = 10.10 g/mol
N: 4 atoms x 14.01 g/mol = 56.04 g/mol
O: 2 atoms x 16.00 g/mol = 32.00 g/mol
Adding up the molar masses of each element gives us:
96.08 g/mol + 10.10 g/mol + 56.04 g/mol + 32.00 g/mol = 194.22 g/mol
Therefore, the molar mass of caffeine (C8H10N4O2) is approximately 194.22 g/mol. So, the correct option is • 194.22 g.
To calculate the molar mass of caffeine, you'll need to determine the atomic mass of each of its constituent elements and sum them up.
Here's a step-by-step breakdown:
1. Look up the atomic masses of the elements involved:
- Carbon (C) = 12.01 g/mol
- Hydrogen (H) = 1.008 g/mol
- Nitrogen (N) = 14.01 g/mol
- Oxygen (O) = 16.00 g/mol
2. Count the number of each element in the chemical formula:
- Cg: 1 carbon atom
- H10: 10 hydrogen atoms
- N4: 4 nitrogen atoms
- O2: 2 oxygen atoms
3. Multiply the number of atoms by their respective atomic masses:
- Carbon: 1 * 12.01 g/mol = 12.01 g/mol
- Hydrogen: 10 * 1.008 g/mol = 10.08 g/mol
- Nitrogen: 4 * 14.01 g/mol = 56.04 g/mol
- Oxygen: 2 * 16.00 g/mol = 32.00 g/mol
4. Sum up the masses calculated in step 3:
- 12.01 g/mol + 10.08 g/mol + 56.04 g/mol + 32.00 g/mol = 110.13 g/mol
Therefore, the molar mass of caffeine (CgH10N402) is approximately 110.13 g/mol.
None of the given options (194.22 g, 110.15 g, 43.03 g, and 194 g) are correct.