To calculate the mass of 1.5 moles of caffeine, we need to determine the molar mass of caffeine (C8H10N4O2) first.
The molar mass can be found by adding the atomic masses of all the atoms in the formula:
- Carbon (C): 8 atoms × 12.01 g/mol = 96.08 g/mol
- Hydrogen (H): 10 atoms × 1.008 g/mol = 10.08 g/mol
- Nitrogen (N): 4 atoms × 14.01 g/mol = 56.04 g/mol
- Oxygen (O): 2 atoms × 16.00 g/mol = 32.00 g/mol
Now, sum these values:
Molar mass of caffeine = 96.08 + 10.08 + 56.04 + 32.00 = 194.20 g/mol
Next, to find the mass of 1.5 moles of caffeine, we use the formula:
Mass = number of moles × molar mass
Substituting in the values:
Mass = 1.5 moles × 194.20 g/mol = 291.30 grams
Therefore, the mass of 1.5 moles of caffeine is 291.30 grams.