A vinegar solution has a [OH^-] = 5.0 × 10^-12 Mat 25 °C. What is the [H3O^+] of the vinegar solution? Is the solution acidic, basic, or neutral?

Question

A vinegar solution has a [latex] [OH^{-}] = 5.0 imes 10^{-12}[/latex] M at 25 °C. What is the [latex] [H_{3}O^{+}][/latex] of the vinegar solution? Is the solution acidic, basic, or neutral?

Accepted Answer

STEP 1 State the given and needed quantities.

ANALYZE THE PROBLEM	Given	Need	Connect
	[latex] [OH^{-}] = 5.0 imes10^{-12} M[/latex]	[latex] [H_{3}O^{+}][/latex]	[latex]K_{w}= [H_{3}O^{+}] [OH^{-}][/latex]

STEP 2 Write the [latex]K_{w}[/latex] for water and solve for the unknown [latex] [H_{3}O^{+}][/latex].

[latex]K_{w}= \boxed{[H_{3}O^{+}]} [OH^{-}] = 1.0 imes 10^{-14}[/latex]

Solve for [latex] [H_{3}O^{+}][/latex] by dividing both sides by [latex] [OH^{-}][/latex].

[latex] \frac{K_{w} }{[OH^{-}]} = \frac{\boxed{[H_{3}O^{+}]}[\cancel{OH^{-}}]}{[\cancel{OH^{-}}]}[/latex]

[latex]\boxed{[H_{3}O^{+}]} =\frac{1.0 imes 10^{-14}}{[OH^{-}]}[/latex]

STEP 3 Substitute the known [latex] [OH^{-}][/latex] into the equation and calculate.

[latex]\boxed{[H_{3}O^{+}]} =\frac{1.0 imes 10^{-14}}{[5.0 imes 10^{-12}]} = 2.0 imes 10^{-3} M[/latex]

Because the [latex][H_{3}O^{+}] of 2.0 imes 10^{-3}[/latex] M is larger than the [latex][OH^{-}] of 5.0 imes 10^{-12}[/latex] M, the solution is acidic.

Question 11.6: A vinegar solution has a [OH^-] = 5.0 × 10^-12 Mat 25 °C. Wh...

Related Answered Questions

Does the equilibrium mixture of the following reaction contain mostly reactants or products? HF(aq) + H2O(l) ⇔ H3O^+(aq) + F^-(aq) ...

Verified Answer:

The Ka for acetic acid, HC2H3O2, is 1.8 × 10^-5 . What is the pH of a buffer prepared with 1.0 M HC2H3O2 and 1.0 M C2H3O2^-? HC2H3O2(aq) + H2O(l) ⇔ H3O^+(aq) + C2H3O2^-(aq) ...

Verified Answer:

If 16.3 mL of a 0.185 M Sr(OH)2 solution is used to titrate the HCl in a 25.0-mL (0.0250 L) sample of gastric juice, what is the molarity of the HCl solution ?2HCl(aq) + Sr(OH)2(aq) → 2H2O(l) + SrCl2(aq) ...

Verified Answer:

Write the balanced equation for the neutralization of HCl(aq) and Ba(OH)2(s). ...

Verified Answer:

Calculate [H3O^+] for a urine sample, which has a pH of 7.5. ...

Verified Answer:

What is the pH of an ammonia solution with [OH^-] = 3.7 × 10^-3 M? ...

Verified Answer:

Aspirin, which is acetylsalicylic acid, was the first nonsteroidal anti-inflammatory drug (NSAID) used to alleviate pain and fever. If a solution of aspirin has a [H3O^+] = 1.7 × 10^-3 M, what is the pH of the solution? ...

Verified Answer:

Consider the pH of the following body fluids: a. Place the pH values of the body fluids on the list in order of most acidic to most basic. b. Which body fluid has the highest [H3O^+]? ...

Verified Answer:

Write the acid dissociation expression for the weak acid, nitrous acid. ...

Verified Answer:

Identify the conjugate acid-base pairs in the following reaction: HBr(aq) + NH3(aq) → Br^-(aq) + NH4^+(aq) ...

Verified Answer: