Chemistry Practice Problems pH and pOH Practice Problems Solution: At body temperature of 37.0°C, K w = 2.5 x 10-14. ...

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# Solution: At body temperature of 37.0°C, K w = 2.5 x 10-14. Calculate the [H3O+] if the [OH -] = 3.9 x 10-3 M.A. 2.5 x 10-12 MB. 6.4 x 10-12 MC. 3.9 x 10-3 MD. 1.0 x 10-7 ME. 2.5 x 10-14 M

###### Problem

At body temperature of 37.0°C, K w = 2.5 x 10-14. Calculate the [H3O+] if the [OH -] = 3.9 x 10-3 M.

A. 2.5 x 10-12 M

B. 6.4 x 10-12 M

C. 3.9 x 10-3 M

D. 1.0 x 10-7 M

E. 2.5 x 10-14 M

###### Solution

We’re being asked to determine the H3O+ concentration if [OH] = 3.9 × 10–3 M. We’re given Kw = 2.5 × 10–14 at 37.0 ˚C.

Recall that Kw is the auto-ionization product of water. For the following reaction:

2 H2O(l)  H3O+(aq) + OH(aq)

the auto-ionization product constant is given by:

Note that each concentration is raised by the stoichiometric coefficient: [H3O+] and [OH] are raised to 1.

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