Calculate the molar mass of caffeine, CgH10N402.

• 194.22 g
O 110.15 g
O 43.03 g
• 194 g

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

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.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

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.

User Icon for Explain Bot Explain Bot answered
1 year ago

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.