Calculate [H3O+] given [OH−] in each aqueous solution.
1. [OH−] = 2.1×10^−11 M
Express your answer using two significant figures.
2. [OH−] = 6.5×10^−9 M
Express your answer using two significant figures.
3. [OH−] = 4.1×10−4 M
Express your answer using two significant figures.
4. [OH−] = 5.5×10−2 M
Express your answer using two significant figures.

Answer :

cristisp93

1.  [H₃O⁺] = 0.47 ×  10⁻³ M

2. [H₃O⁺] = 0.15 × 10⁻⁵ M

3. [H₃O⁺] = 0.24 ×  10⁻¹⁰ M

4. [H₃O⁺] = 0.18 ×  10⁻¹² M

Explanation:

We know that:

[H₃O⁺] × [OH⁻] = 10⁻¹⁴

[H₃O⁺] = 10⁻¹⁴ / [OH⁻]

1. [H₃O⁺] = 10⁻¹⁴ / (2.1 × 10⁻¹¹)

[H₃O⁺] = 0.47 ×  10⁻³ M

2. [H₃O⁺] = 10⁻¹⁴ / (6.5 × 10⁻⁹)

[H₃O⁺] = 0.15 × 10⁻⁵ M

3. [H₃O⁺] = 10⁻¹⁴ / (4.1 × 10⁻⁴)

[H₃O⁺] = 0.24 ×  10⁻¹⁰ M

4. [H₃O⁺] = 10⁻¹⁴ / (5.5 × 10⁻²)

[H₃O⁺] = 0.18 ×  10⁻¹² M

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