1. Convert Units:
* Volume of HCl gas (L): 2.14 L (already in liters)
* Pressure of HCl gas (atm): 2.61 atm (already in atmospheres)
* Temperature of HCl gas (K): 28 °C + 273.15 = 301.15 K
* Volume of water (L): 668 mL / 1000 mL/L = 0.668 L
2. Use the Ideal Gas Law to find moles of HCl:
* Ideal Gas Law: PV = nRT
* P = Pressure (atm)
* V = Volume (L)
* n = Number of moles
* R = Ideal gas constant (0.0821 L⋅atm/mol⋅K)
* T = Temperature (K)
* Solve for n (moles of HCl):
* n = PV / RT
* n = (2.61 atm) * (2.14 L) / (0.0821 L⋅atm/mol⋅K) * (301.15 K)
* n ≈ 0.222 moles of HCl
3. Calculate Molarity:
* Molarity (M) = moles of solute / liters of solution
* M = 0.222 moles HCl / 0.668 L solution
* M ≈ 0.332 M
Therefore, the molarity of the hydrochloric acid solution is approximately 0.332 M.