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Question
use the references to access important values if needed for thi
the ph of an aqueous solution of 0.1650 m hydrosulfuric acid, h₂s (aq), is
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Step1: Consider the first dissociation of \(H_2S\)
\(H_2S(aq)
ightleftharpoons H^+(aq)+HS^-(aq)\), \(K_{a1}=8.9\times 10^{-8}\) (from references). Since \(K_{a1}\ll1\), we can use the approximation \( [H^+]=\sqrt{K_{a1}\times c}\) where \(c = 0.1650M\)
$$ [H^+]=\sqrt{8.9\times 10^{-8}\times0.1650}$$
$$ [H^+]=\sqrt{1.4685\times 10^{-8}}$$
$$ [H^+]=1.21\times 10^{-4}M$$
Step2: Calculate the pH
The formula for pH is \(pH=-\log[H^+]\)
$$pH =-\log(1.21\times 10^{-4})$$
$$pH=-( \log(1.21)+\log(10^{-4}))$$
$$pH=-(0.083 - 4)$$
$$pH = 3.917\approx3.92$$
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\(3.92\)