The pH value of 1 × 10-8 (M) HCl is: 1. 8.00 2. 6.98 3. 7.01 4. 6.00

By K Balaji|Updated : September 27th, 2022

The pH value of 1 × 10-8 (M) HCl is 6.98. The degree of acidity or alkalinity measures the hydrogen ion concentration in a solution known as pH.

 

pH value of 1 × 10-8 (M) HCl

  • HCl is a strong acid. All acids have a pH in the acid range, that is to say, below 7.
  • The concentration of HCl = 10−8 M
  • Total [H+] = [H+] obtained from HCL + [H+] obtained from H2O
  • HCl being a strong acid, it completely ionises.
  • [H+] HCl = 1.0 x 10-8.

The concentration of H+ from ionization is equal to the [OH–] from water, and let us consider it is equal to x.

[H+] H2O = [OH–] H2O = x

Total [H+] = x + 1.0 x 10-8………………………(1)

But we know

[H+] [OH–] = 1.0 x 10-14

(1.0 x 10-8 + x) (x) = 1.0 x 10-14

X2 + 10-8 x – 10-14 = 0

Solving x we get

x = 9.5 x 10-8

Substituting x value in equation (1)

Total [H+] = 9.5 x 10-8 + 1.0 x 10-8

Total [H+] = 1.05 x 10-7.

Consider an equation

pH = – log [H+]

pH = – log [1.05 x 10-7]

pH = 6.98

Summary:-

The pH value of 1 × 10-8 (M) HCl is: 1. 8.00 2. 6.98 3. 7.01 4. 6.00

For 1 × 10-8 (M) HCl the pH value is 6.98. The measure of alkalinity or acidity of a solution is the pH.

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