A solution is made by dissolving 18.9 g of HCl in enough water to make 716 mL of solution. Calculate the pH of the solution at 25 degrees C

To calculate the pH of a solution at 25 degrees Celsius, we need to consider the dissociation of the strong acid HCl in water, which forms H+ ions.

Step 1: Calculate the concentration of HCl in the solution.
Concentration (molarity) = moles / volume
First, convert the mass of HCl to moles:
Molar mass of HCl = 36.46 g/mol
moles of HCl = mass / molar mass
moles of HCl = 18.9 g / 36.46 g/mol
moles of HCl = 0.518 mol

Now, calculate the concentration (molarity) of the solution in moles per liter (M):
Concentration = moles / Volume (in liters)
Volume = 716 mL = 716/1000 = 0.716 L
Concentration = 0.518 mol / 0.716 L
Concentration = 0.723 M

Step 2: Calculate the pH using the concentration of H+ ions.
pH = -log[H+]
To find the concentration of H+ ions, we need to consider the dissociation of HCl: HCl -> H+ + Cl-
Since HCl is a strong acid, it will completely dissociate in water, so the concentration of H+ ions is equal to the concentration of HCl.

pH = -log(0.723)
Using a calculator, the pH of the solution is approximately 0.14.

Thus, the pH of the solution at 25 degrees Celsius is approximately 0.14.

To calculate the pH of the solution, we need to use the concentration of HCl and the dissociation constant of water. Here are the steps to find the pH:

Step 1: Calculate the molarity of the HCl solution.
- Molarity (M) is given by the formula:
Molarity = moles of solute / volume of solution (in liters)
- First, convert the given mass of HCl (18.9 g) into moles. The molar mass of HCl is approximately 36.46 g/mol.
- Moles of HCl = Mass of HCl / Molar mass of HCl
- Moles of HCl = 18.9 g / 36.46 g/mol
- Convert the volume of the solution from milliliters to liters:
Volume of solution = 716 mL = 716/1000 L
- Now calculate the molarity of the HCl solution:
Molarity = Moles of HCl / Volume of solution

Step 2: Calculate the concentration of H3O+ ions.
- Since HCl is a strong acid, it ionizes completely in water.
- The concentration of H3O+ ions in the solution is equal to the molarity of the HCl solution.

Step 3: Calculate the pH of the solution.
- The pH is a measure of the concentration of H3O+ ions in a solution.
- It is given by the formula: pH = -log10 [H3O+]
- Plug in the concentration of H3O+ ions into the equation to get the pH value.

To summarize, follow these steps:
1. Calculate the molarity of the HCl solution.
2. Determine the concentration of H3O+ ions (which is equal to the molarity of the HCl solution).
3. Calculate the pH using the formula pH = -log10 [H3O+].

First you want to calculate the molarity of the HCl. That's

mols HCl = g/molar mass
M = mols/L soln which is 0.716 L.
Then pH = -log(HCl) = ?