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Question 13.2: Consider the following solutions at 25°C.a Find the [H^+] an...

Consider the following solutions at 25°C.

a  Find the [H^+] and pH of a tap water sample in which [OH^-]= 2.0 \times 10^{-7}.

ANALYSIS

Information given:                       [OH^-] (2.0 \times 10^{-7}\> M)
Information implied:                           K_{w} value
Asked for:                                                    [H^+] and pH

STRATEGY

1. Substitute into Equation 13.1 to obtain   [H^+].

K_{w} = [H^{+}][OH^{-}]           (13.1)

2. Substitute into Equation 13.3 to convert   [H^+] to pH.

pH = -\log_{10}[H^+] = -\log_{10}[H_{3}O^{+}]                  (13.3)

b Find the [H^+] and [OH^-] of human blood at pH 7.40.

ANALYSIS

Information given:                               pH (7.40)
Information implied:                      K_{w} value
Asked for:                                                [H^+] and [OH^-]

STRATEGY

1. Substitute into Equation 13.3 to convert pH to [H^+].
2. Substitute into Equation 13.1 to obtain [OH^-].

c Find the pOH of a solution in which [H^+] = (5.0)[OH^-].

ANALYSIS

Information given:                            [H^+] and [OH^-] relation ([H^{+}] = 5.0 [OH^{-}])
Information implied:                                    K_{w} value
Asked for:                                                          pOH

STRATEGY

1. Substitute into Equation 13.1 to obtain [OH^-].
2. Substitute into Equation 13.4 to convert [OH^-] to pOH.

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