[Solved] The PH Value Of 1 × 10-8 (M) HCl Is:

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The correct answer is 6.98.

Concept: The degree of acidity or alkalinity is a measurement of the hydrogen ion concentration in a solution is known as pH.

Calculation:

Concentration of HCl = 10−8M

[H+] total = [H+] acid + [H+] water

Since, HCl is a strong acid, it completely ionises.

[H+] HCl = 1.0×10−8

As the concentration of H+ from ionisation is equal to the concentration of OH from water, let us consider it X.

[H+] H2O = [OH−] H2O = X

Total [H+] = X+1.0×10−8------(1)

As we know, [H+] [OH–] = 1.0 x 10-14 (1.0 x 10-8X+ X) (X) = 1.0 x 10-14

X2 + 10-8 X – 10-14 = 0

On solving X

X= 9.5×10-8

Substituting the value of X in the eq. (1) Total [H+] = 9.5×10−8+1.0×10−8

Total [H+] =1.05×10−7 Let us consider the following equation pH = − log [H+] pH = − log [1.05×10−7] pH = 6.99 Hence, the pH value of 1 × 10-8 (M) HCl is 6.98.

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