1. Find the molar mass of H2SO4:

* H: 1.01 g/mol (x 2 = 2.02 g/mol)

* S: 32.07 g/mol

* O: 16.00 g/mol (x 4 = 64.00 g/mol)

* Total molar mass = 2.02 + 32.07 + 64.00 = 98.09 g/mol

2. Convert grams of H2SO4 to moles:

* Moles = (grams of solute) / (molar mass of solute)

* Moles = 18.0 g / 98.09 g/mol = 0.1836 mol

3. Calculate the molarity:

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

* Molarity = 0.1836 mol / 2.00 L = 0.0918 M

Therefore, the molarity of the solution is 0.0918 M.