Answer:
3.34x10¹⁶ molecules of aspirin are in a drop of blood
Explanation:
The recomended dose of aspirin in blood is 100.0μg/mL =
1x10⁻⁴g aspirin / mL of blood.
In a drop (0.100mL) there are:
0.100mL ₓ (1x10⁻⁴g aspirin / mL of blood) = 1x10⁻⁵g aspirin.
Molecular mass of aspirin is:
9C = 12.01g/mol ₓ 9 = 108.09g/mol
8H = 1.01g/mol ₓ 8 = 8.08g/mol
4O = 16g/mol ₓ 4 = 64g/mol
108.09 + 8.08 + 64 = 180.17g/mol
Thus, moles of aspirin in 1x10⁻⁵g are:
1x10⁻⁵g ₓ (1mol / 180.17g) = 5.55x10⁻⁸ moles of aspirin
In 1 mole, you have 6.022x10²³ molecules, thus:
5.55x10⁻⁸ moles of aspirin ₓ (6.022x10²³ molecules / 1 mole ) =
<h3>3.34x10¹⁶ molecules of aspirin are in a drop of blood</h3>
