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Calculate either [H,O*] or [OH-] for each of the solutions. Solution A: OH) = 2.71 x 10-PM Solution A: [H,0) = Solution B: [H
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Answer #1

Using formula, for the autoionization of water

Kw = [H3O^+][OH^-]

where Kw = water dissociation constant

[H3O^+] => concentration of acid in solution

[OH^-] => concentration of base in solution

At 25°C, Kw => 1.0 * 10^-14 M^2

Solution A : [OH^-] = 2.71 * 10^-7 M

Thus, [H3O^+] = ( 1 * 10^-14) / ( 2.71 * 10^-7) M

=> [H3O^+] = 0.369 * 10^-7 or 3.69 * 10^-8 M

Hence Solution A, [H3O^+] => 3.69 * 10^-8 M

Now, pH => -log[H3O^+] => -log(3.69*10^-8) => 7.43 (approx)

Since pH> 7, Hence, Solution A is basic.

Solution B : [H3O^+] = 7.63 * 10^-9 M

Thus, [OH^-] = ( 1 * 10^-14) / ( 7.63 * 10^-9) M

=> [OH^-] = 0.131 * 10^-5 M => 1.31 * 10^-6 M

Hence Solution B, [OH^-] => 1.31 * 10^-6 M

Now, pH = -log[H3O^+] => -log(7.63*10^-9) => 8.12 (approx)

Since, pH>7, Hence, solution B is basic.

Solution C: [H3O^+] = 6.79 * 10^-4 M

Thus, [OH^-] = ( 1 * 10^-14) / ( 6.79 * 10^-4) M

=> [OH^-] = 0.147 * 10^-10 M => 1.47 * 10^-11 M

Hence Solution C, [OH^-] => 1.47 * 10^-11 M

Now, pH = -log[H3O^+] => -log(6.79 * 10^-4) => 3.17(approx)

Since, pH<7, Hence, solution C is acidic.

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