In a certain acidic solution at 25 ∘c, [h+] is 100 times greater than [oh −]. what is the value for [oh −] for the solution? in a certain acidic solution at 25 , [] is 100 times greater than [ ]. what is the value for [ ] for the solution? 1.0×10−8 m 1.0×10−7 m 1.0×10−6 m 1.0×10−2 m 1.0×10−9 m

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Answer:

1.0 x 10⁻⁸ M.

Explanation:

∵ [H⁺][OH⁻] = 10⁻¹⁴.

∵ [H⁺] = 100 [OH⁻].

∴ 100 [OH⁻][OH⁻] = 10⁻¹⁴.

∴ 100 [OH⁻]² = 10⁻¹⁴.

[OH⁻]² = 10⁻¹⁴/ 100 = 1.0 x 10⁻¹⁶.

∴ [OH⁻] = √(1.0 x 10⁻¹⁶) = 1.0 x 10⁻⁸ M.

Given the data from the question, the value of the concentration of the hydroxide ion OH¯ is 1×10¯⁸ M

What is pH ?

This is simply a measure of the acidity / alkalinity of a solution.

The pH measures the hydrogen ion, H⁺ concentration while the pOH measures the hydroxide ion, OH¯ concentration

Relationships between H⁺ and OH¯

[H⁺] × [OH¯] = 10¯¹⁴

How to determine OH¯

From the question given above, the following data were obtained:

  • Hydrogen ion concentration [H⁺] = 100[OH¯]
  • Hydroxide ion concentration [OH¯] =?

[H⁺] × [OH¯] = 10¯¹⁴

100[OH¯] × [OH¯] = 10¯¹⁴

100 × [OH¯]² = 10¯¹⁴

Divide both side by 100

[OH¯]² = 10¯¹⁴ / 100

[OH¯]² = 10¯¹⁶

Take the square root of both side

[OH¯] = √(10¯¹⁶)

[OH¯] = 1×10¯⁸ M

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