What will be the pH of hydrochloric acid after 0.01M of hydrochloric acid is diluted by the addition of 80ml distilled water?

Depends upon how much 0.01 M was diluted. You should proof your posts.

To find the pH of the diluted hydrochloric acid solution, we need to understand the concept of dilution and how it affects the concentration of the acid.

In this case, we have a 0.01 M hydrochloric acid solution, and we want to dilute it by adding 80 mL of distilled water. The volume of the final solution will be the sum of the initial volume of hydrochloric acid and the volume of water added.

First, let's calculate the volume of the final solution:
Volume of final solution = Volume of hydrochloric acid + Volume of distilled water
Volume of final solution = 80 mL (water) + Volume of hydrochloric acid

Since the initial concentration of hydrochloric acid is 0.01 M, we can use the formula:
M1 ✕ V1 = M2 ✕ V2

Where:
M1 = initial concentration
V1 = initial volume
M2 = final concentration
V2 = final volume

For the hydrochloric acid solution before dilution:
M1 = 0.01 M
V1 = the volume we need to calculate

For the diluted hydrochloric acid solution:
M2 = ?
V2 = volume of final solution (80 mL + V1)

With this information, we can plug the values into the formula and solve for M2:
0.01 M ✕ V1 = M2 ✕ (80 mL + V1)

Now, let's calculate the final concentration after the dilution:
M2 = (0.01 M ✕ V1) / (80 mL + V1)

Since we want to find the pH, we need to convert the concentration to the concentration of hydrogen ions, [H+]. In the case of hydrochloric acid, it fully dissociates into hydrogen ions and chloride ions. So, the concentration of hydrogen ions will be equal to the concentration of hydrochloric acid.

pH is defined as the negative logarithm (base 10) of the concentration of hydrogen ions. Mathematically, it can be expressed as:
pH = -log[H+]

Now that we have the concentration of hydrogen ions (M2), we can find the pH using the equation above. Please note that pH is a logarithmic scale, so we need to apply the negative logarithm to M2 to find the pH.