Step-by-step explanation:
To calculate the [H+] of a solution containing a known amount of a compound, such as HCl, we need to use the concept of molarity. Molarity represents the concentration of a solute in a solution and is defined as the number of moles of solute per liter of solution.
Here's how you can calculate the [H+] of the solution step by step:
1. Determine the volume of the solution: The question states that the solution has a volume of 320 mL. However, it's common practice to work with liters, so we need to convert the volume to liters by dividing it by 1000: 320 mL ÷ 1000 = 0.320 L.
2. Calculate the molarity (M) of the solution: Molarity is calculated by dividing the number of moles of solute by the volume of the solution in liters. The question provides the number of moles of HCl as 1.44 moles. Plugging in the values: M = 1.44 moles ÷ 0.320 L = 4.5 M.
3. Determine the dissociation of HCl: HCl is a strong acid that completely dissociates in water. This means that one mole of HCl will produce one mole of H+ ions.
4. Calculate the [H+]: Since the dissociation of HCl produces one mole of H+ ions, the concentration of H+ ions in the solution is equal to the molarity of the HCl solution. Therefore, the [H+] is 4.5 M.
So, the [H+] of the 320 mL solution containing 1.44 moles of HCl is 4.5 M.
Please note that M represents molarity, which is expressed in moles per liter (mol/L).