Calculate the pH of each and determine whether each of the following solutions is acidec or basic.

a) [H^+]=1.0 e-11M solution
b) [OH^-]=1.5 e-3M solution
c) [H^+]=5.2 e -5M solution

pH= -log [H+] pH < 7 is acidic and pH > 7 is basic.

for example

pH= - log [1.0e-11M]
pH= 11
therefore basic solution.

To calculate the pH of a solution, you need to use the formula:

pH = -log[H+]

where [H+] represents the concentration of hydrogen ions in the solution. The pH scale ranges from 0 to 14, with a pH of 7 being neutral, pH less than 7 being acidic, and pH greater than 7 being basic.

a) [H+] = 1.0 × 10^-11 M
To calculate the pH, plug the given concentration into the formula:
pH = -log(1.0 × 10^-11)
pH ≈ -(-11) (since log of 10 to the power of -11 is 11, with a negative sign)
pH ≈ 11

Since the pH value is greater than 7, the solution is basic.

b) [OH^-] = 1.5 × 10^-3 M
To determine the pH, you need to first find the concentration of hydrogen ions [H+].

The concentration of [H+] can be determined using the formula:

[H+] × [OH^-] = 1.0 × 10^-14

Rearranging the formula, we get:

[H+] = 1.0 × 10^-14 / [OH^-]
[H+] = 1.0 × 10^-14 / 1.5 × 10^-3
[H+] ≈ 6.7 ×10^-12 M

Now, we can calculate the pH using the formula:
pH = -log(6.7 ×10^-12)
pH ≈ -(-11.2) (since log of 10 to the power of -11.2 is 11.2, with a negative sign)
pH ≈ 11.2

Since the pH value is greater than 7, the solution is basic.

c) [H+] = 5.2 × 10^-5 M
To calculate the pH, use the formula:
pH = -log(5.2 × 10^-5)
pH ≈ -(-4.28) (since log of 10 to the power of -4.28 is 4.28, with a negative sign)
pH ≈ 4.28

Since the pH value is less than 7, the solution is acidic.