1. Convert mL to Liters

* 10.0 mL * (1 L / 1000 mL) = 0.010 L

2. Use the Molarity Formula

* Molarity (M) = moles of solute / liters of solution

* We know M = 2.0 M and volume = 0.010 L. Let 'x' represent the moles of potassium carbonate.

* 2.0 M = x / 0.010 L

3. Solve for 'x' (moles of potassium carbonate)

* x = 2.0 M * 0.010 L

* x = 0.020 moles

Therefore, there are 0.020 moles of potassium carbonate in 10.0 mL of a 2.0 M solution.