Calculate the pH of the following: 0.01mol/l of hydrochloric acid (HCl).
Hydrochloric acid (HCl) is a strong acid, which means it fully dissociates in water. The dissociation of HCl can be represented by the equation: HCl → H+ + Cl-
Since the concentration of HCl is given as 0.01 mol/L, the concentration of H+ ions will also be 0.01 mol/L.
pH is defined as the negative logarithm of the H+ ion concentration. Therefore, we can calculate the pH using the formula:
pH = -log[H+]
Substituting the given concentration:
pH = -log(0.01)
Using a calculator, we find:
pH ≈ 2
Therefore, the pH of 0.01 mol/L hydrochloric acid (HCl) is approximately 2.
To calculate the pH of a hydrochloric acid solution, you need to know the concentration of the acid and use the formula for calculating pH.
Step 1: Convert the concentration from mol/L to H+ concentration in moles per liter.
The hydrochloric acid (HCl) dissociates completely in water to form H+ ions. Since the concentration of HCl is 0.01 mol/L, the concentration of H+ ions is also 0.01 mol/L.
Step 2: Calculate the pH using the formula:
pH = -log[H+]
In this case, [H+] = 0.01 mol/L. Plugging this value into the formula, we get:
pH = -log(0.01)
Step 3: Calculate the logarithm using a calculator.
Using a calculator, find the logarithm (log) of 0.01. The result is -2.
Step 4: Calculate the negative value.
Since the pH is the negative logarithm, we take the negative value of -2, which gives us:
pH = 2
The pH of a 0.01 mol/L hydrochloric acid (HCl) solution is 2.