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Grade: 12th pass
        the hydrogen ion concentration of 10^-8M hcl aueous solution at 298K(Kw=10^-14)
9 months ago

Answers : (1)

Arun
14020 Points
							
Dear student
 
HCl completely ionizes, and thus [H⁺] = 1 × 10⁻⁸ M 
The concentration is very low, and thus the self-ionization of water must be considered. 

H₂O(l) ⇌ H⁺(aq) + OH⁻(aq) 
Assume that water self-ionizes to give y M of H⁺ ions and y M of OH⁻ ions. 

Kw = [H⁺][OH⁻] 
[y + (1 × 10⁻⁸)] y = 1 × 10⁻¹⁴ 
y² + (1 × 10⁻⁸)y - 1 × 10⁻¹⁴ = 0 
y = 9.512 × 10⁻⁸ or y = -1.051 × 10⁻⁷ (rejected) 

[H⁺] = (1 × 10⁻⁸) + (9.512 × 10⁻⁸) = 1.0512 × 10⁻⁷ M
 
 
 
Regards
Arun (askIITians forum expert)
9 months ago
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