Question

ph = 8.43
express your answer using two significant figures.
h₃o⁺ = m
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part d
ph = 12.82
express your answer using two significant figures.
h₃o⁺ = m

Explanation:

For pH = 8.43:

Step1: Recall pH formula

The formula relating pH and \([H_3O^+]\) is \(pH = -\log_{10}[H_3O^+]\), so we can rearrange it to \([H_3O^+]=10^{-pH}\).

Step2: Substitute pH value

Substitute \(pH = 8.43\) into the formula: \([H_3O^+]=10^{-8.43}\). Calculate \(10^{-8.43}\approx3.7\times10^{-9}\) (using a calculator, \(10^{-8.43}=10^{0.57 - 9}=10^{0.57}\times10^{-9}\), and \(10^{0.57}\approx3.7\)).

Step1: Recall pH formula

Use the same formula \([H_3O^+]=10^{-pH}\).

Step2: Substitute pH value

Substitute \(pH = 12.82\) into the formula: \([H_3O^+]=10^{-12.82}\). Calculate \(10^{-12.82}=10^{0.18 - 13}=10^{0.18}\times10^{-13}\), and \(10^{0.18}\approx1.5\), so \([H_3O^+]\approx1.5\times10^{-13}\).

Answer:

\(3.7\times10^{-9}\) M

For pH = 12.82: