1. Convert Temperature to Kelvin:
* T(K) = T(°C) + 273.15
* T(K) = 28°C + 273.15 = 301.15 K
2. Use the Ideal Gas Law to Find Moles of HCl:
* PV = nRT
* P = Pressure (atm) = 2.61 atm
* V = Volume (L) = 2.14 L
* n = Moles (mol)
* R = Ideal Gas Constant = 0.0821 L*atm/mol*K
* T = Temperature (K) = 301.15 K
* Rearrange the equation to solve for n:
* n = PV / RT
* n = (2.61 atm * 2.14 L) / (0.0821 L*atm/mol*K * 301.15 K)
* n ≈ 0.223 mol HCl
3. Calculate the Molarity:
* Molarity (M) = Moles of solute / Liters of solution
* Moles of solute = 0.223 mol HCl
* Liters of solution = 668 mL = 0.668 L (remember to convert mL to L)
* M = 0.223 mol HCl / 0.668 L
* M ≈ 0.334 M
Therefore, the molarity of the hydrochloric acid solution is approximately 0.334 M.