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If the hydroxide concentration in common bile duct is 1 × 10−6 M, what is the pH of the bile?A.6B.7C.8D.14

Question

If the hydroxide concentration in common bile duct is 1 × 10−6 M, what is the pH of the bile?

A. 6
B. 7
C. 8
D. 14

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Solution

The pH of a solution is calculated using the formula pH = -log[H+], where [H+] is the concentration of hydrogen ions in the solution. However, in this case, we are given the concentration of hydroxide ions (OH-), not hydrogen ions.

We know that in water, the product of the concentrations of hydrogen ions and hydroxide ions is always equal to 1 × 10^-14 M^2 (at 25 degrees Celsius). This is known as the ion product of water, or Kw.

So, if [OH-] = 1 × 10^-6 M, then [H+] = Kw / [OH-] = 1 × 10^-14 M^2 / 1 × 10^-6 M = 1 × 10^-8 M.

Now we can calculate the pH: pH = -log[H+] = -log(1 × 10^-8) = 8.

So, the pH of the bile is 8 (Option C).

This problem has been solved

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