1. Calculate the molar mass of theobromine:
* C7H8N4O2
* (7 * 12.01 g/mol) + (8 * 1.01 g/mol) + (4 * 14.01 g/mol) + (2 * 16.00 g/mol) = 180.17 g/mol
2. Convert grams of theobromine to moles:
* 2.50 g theobromine * (1 mol theobromine / 180.17 g theobromine) = 0.0139 mol theobromine
3. Calculate moles of carbon atoms:
* Since there are 7 carbon atoms per molecule of theobromine, there are 7 times as many moles of carbon atoms as there are moles of theobromine.
* 0.0139 mol theobromine * (7 mol C / 1 mol theobromine) = 0.0973 mol C
4. Convert moles of carbon atoms to atoms:
* Use Avogadro's number (6.022 x 10^23 atoms/mol)
* 0.0973 mol C * (6.022 x 10^23 atoms/mol) = 5.86 x 10^22 atoms of carbon
Therefore, there are approximately 5.86 x 10^22 atoms of carbon in 2.50 grams of theobromine.
