Exercises on pH and pOH

The acidity or basicity of a solution is measured using the logarithmic scales of pH and pOH.

The values ​​of these scales range from 0 to 14 and were obtained from the water autoionization reaction.

Calculations involving the pH of solutions are very common in Enem and vestibular.

With that in mind, we created this list with 10 questions to test your knowledge of the topic.

Also use the resolution comments to learn tips and see step-by-step how to solve the exercises.

General inquiries

1. (Fuvest) The self-ionization of water is an endothermic reaction. A student measured the pH of freshly distilled, CO-free water.2 and at 50 °C, finding the value 6.6. Suspicious that the measuring device was defective, as he expected the value of 7.0, he consulted a colleague who made the following statements:

(I) its value (6.6) may be correct, as 7.0 is the pH of pure water, but at 25 °C;
(II) the application of Le Chatelier's principle to the balance of water ionization justifies that, with increasing temperature, the concentration of H

+ ;
(III) in water, the pH is lower the higher the concentration of H+ .

What is stated is correct

a) only in I.
b) only in II.
c) only in III.
d) only in I and II.
e) in I, II and III.

Correct alternative: e) in I, II and III.

(I). CORRECT The pH of water is obtained from the ionic product, which is [H3O+].[OH-].

This expression comes from the equilibrium constant straight K with straight c subscript space equal to numerator space left square bracket H with 3 straight O subscript to the power of plus right square bracket. left square bracket OH to the power of minus right square bracket on denominator left square bracket H with 2 square subscript Right square bracket end of fraction which varies with temperature.

(II). CORRECT The autoionization of water is given by 2 straight H with 2 straight subscript The harpoon space to the right over the harpoon to the left straight H with 3 straight subscript O to the power of more space plus OH space to the power of minus

As the direct reaction is endothermic, it consumes heat and, therefore, the increase in temperature favors the formation of hydronium ions.

By increasing the concentration of H+ in solution, there is a decrease in pH.

(III). CORRECT The expression of pH is: pH = - log [H+]. As the value is expressed in cologarithm, the higher the concentration of H+ lower the pH.

2. (Unicap) Tick column I for correct and column II for wrong.

I - II
0 - 0 The pH of pure water is 7, at 25 °C.
1 - 1 The pH of a 0.01 mol/L hydrochloric acid solution is equal to 2.
2 - 2 The pH of a 0.01 mol/L sodium hydroxide solution is equal to 11.
3 - 3 The pOH of a 0.01 mol/L potassium hydroxide solution is equal to 2.
4 - 4 The higher the pOH of an aqueous solution, the lower the concentration of hydroxyl ions and the higher its acidity.

Correct answer: 0.1; 1.I; 2.II; 3I; 4.I.

0.I CORRECT.

The pH of water is given from the ionic product of self-ionization and this value varies according to temperature.

2 straight H with 2 straight subscript O harpoon space to the right over harpoon to the left straight space H with 3 straight subscript O to the power of more space more space OH to the power of less left square bracket H with 3 square subscript O to the power of plus right bracket space equal to space left bracket OH to the power of minus square bracket right

At 25°C the ionic product of the self-ionization of water is 10-14.

table row with cell with left square bracket H with 3 subscript O to the power of plus right bracket end of cell. cell with left square bracket OH to the power of minus right square bracket end space of cell equals cell with 10 à power of minus 14 end of exponential end of cell line to cell with 10 to the power of minus 7 end of exponential end of cell. cell with 10 to the power of minus 7 end of exponential end of cell equals cell with 10 to the power of minus 14 end of exponential end of cell end of table

From this value, we calculate the pH.

pH space equals space minus space log space left square bracket H plus right square bracket pH space equals space minus space log space 10 to the power of minus 7 end of exponential pH space equals space 7

1.I CORRECT.

HCl space space space space right arrow space space space space straight space H à power of more space space space more space space space Cl à power of minus 0 comma 01 straight M space space space space space space 0 comma 01 straight M pH space equal to space minus space log space space square bracket left straight H to the power of plus parenthesis right straight space pH space equals space minus space log space 0 comma 01 space space pH space equals space 2

2.II WRONG.

NaOH space space space right arrow space space Na to the power of more space more space OH to the power of minus 0 comma 01 straight M space space space space space space space space space space space space space space space space space space space space space 0 comma 01 straight M pOH space equal to space minus space log space left square bracket OH to the power of minus right square bracket space pOH space equals space less space log space 0 comma 01 space space pOH space equal to space 2 pH space equal to space 14 space minus space pOH pH space equal to space 14 space minus space 2 pH space equal to space 12

3.I CORRECT.

KOH space space space space right arrow space space space straight K to the power of more space more space space OH to the power of minus 0 comma 01 straight M space space space space space space space space space space space space space space space space space space space 0 comma 01 straight M pOH space equals space minus log space space left square bracket H to the power of plus right square bracket space pOH space equal to space minus space log space 0 comma 01 space space pOH space equal to space 2

4.1 CORRECT.

A high pOH such as 12 has a low concentration of hydroxyl ions, since [OH-] = 10-pOH and greater is its acidity, because:

pH space equals space 14 minus pOH pH space equals space 14 space minus space 12 pH space equals space 2

3. (Fuvest) Among the liquids in the table below:

Liquid [H+] mol/L [oh-] mol/L
milk 1,0. 10-7 1,0. 10-7
sea ​​water 1,0. 10-8 1,0. 10-6
Coke 1,0. 10-3 1,0. 10-11
prepared coffee 1,0. 10-5 1,0. 10-9
teardrop 1,0. 10-7 1,0. 10-7
washer water 1,0. 10-12 1,0. 10-2

it has only acidic character:

a) the milk and the tear.
b) washer water.
c) prepared coffee and cola.
d) sea water and washer water.
e) Coca-Cola.

Correct alternative: c) prepared coffee and cola.

Liquid pH = - log [H+] pOH = -log[OH-] Character
milk 7 7 Neutral
sea ​​water 8 6 Basic
Coke 3 11 Acid
prepared coffee 5 9 Acid
teardrop 7 7 Neutral
washer water 12 2 Basic

a) WRONG. Milk and tear are neutral liquids.

b) WRONG. Washer water has a basic character.

c) CORRECT. Acid solutions have:

[H3O+] > 1,0. 10-7 mol/L pH
[oh-] -7 mol/L pOH > 7

d) WRONG. Sea water and washer water have a basic character.

e) WRONG. Not only is Coca-Cola an acidic character, but also prepared coffee.

Calculation of pH of solutions

4. (UFRGS) If 90 ml of water are added to 10 mL of an aqueous solution of pH = 4.0, the pH of the resulting solution will be equal to:

a) 0.4
b) 3.0
c) 4.0
d) 5.0
e) 5.5

Correct alternative: d) 5.0

1st step: calculate the concentration of H ions+ at pH = 4.

left square bracket H to the power of plus right square bracket space equals space 10 to the power of minus pH end of exponential parenthesis left straight straight H to the power of plus parenthesis right straight space equal to space 10 to the power of minus 4 end of exponential mol space divided by straight L

2nd step: calculate the number of moles present in 10 mL of solution.

table space row with cell with 10 to the power of minus 4 end of exponential mol space end of cell minus cell with 1 straight space L end of cell row with straight x minus cell with 0 comma 01 straight space L end of cell end of table straight x space equal to numerator space 10 to minus 4 power end of exponential mol space space. space 10 to the power of minus 2 end of exponential horizontal crossed out over straight space L end of crossed out over denominator 1 horizontal space straight line L end of fraction straight x space equal to space 10 to the power of minus 6 end of exponential space mol

3rd step: calculate the final volume of the solution.

straight V space equal to space 10 space mL space plus space 90 space mL straight V space equal to space 100 space mL space space equal to space 0 comma 1 space straight L

4th step: calculate the molar concentration of the solution.

straight C with straight m subscript space equal to space straight eta over straight V straight C with straight m subscript space equal to numerator 10 to the minus 6 end power of the exponential space mol over denominator 0 comma 1 straight space L end of fraction straight C with straight m subscript space equal to 10 to the power of minus 5 end of exponential mol space divided by straight L

5th step: calculate the pH of the resulting solution.

pH space equals space minus space log space left square bracket H to the power of plus square bracket right pH space equal to space minus space log space 10 to the power of minus 5 end of exponential pH space equal to space 5
5. (UFV) Consider a beaker containing 1.0 L of a 0.20 mol/L solution of hydrochloric acid (HCℓ). To this solution 4.0 g of solid sodium hydroxide (NaOH) were added, stirring until its complete dissolution. Since no significant volume change occurred and the experiment was carried out at 25 °C, tick the correct alternative.

a) The resulting solution will be neutral and will have a pH equal to 7.
b) The resulting solution will be basic and will have a pH equal to 13.
c) The resulting solution will be acidic and will have a pH equal to 2.
d) The resulting solution will be acidic and will have a pH equal to 1.
e) The resulting solution will be basic and will have a pH equal to 12.

Correct alternative: d) The resulting solution will be acidic and will have a pH equal to 1.

1st step: calculate the molar mass of NaOH.

table row with cell with Na two end points of cell blank 23 blank row with cell with straight O two end points of cell blank 16 blank row with cell with straight H two points end of cell plus cell with space 1in space bottom frame end of cell blank row with cell with NaOH two points end of cell blank 40 blank end of table

2nd step: calculate the number of moles of NaOH.

straight eta space equal to space numerator straight m over denominator straight space M end of fraction straight eta space equal to numerator 4 straight space g over denominator 40 straight space g divided by mol end of straight fraction eta space equal to 0 comma 1 mol space

3rd step: calculate how much acid has reacted with the base.

HCl and NaOH react to form salt and water in a neutralization reaction.

HCl space plus space NaOH space right arrow NaCl space plus space straight H with 2 subscript straight O

As the reaction stoichiometry is 1:1, we have: 0.1 mol of hydrochloric acid reacted with 0.1 mol of sodium hydroxide.

However, the initial solution contained 0.2 mol of HCl and after the reaction with NaOH only 0.1 mol remained, changing the pH of the solution.

4th step: calculate the new pH of the solution.

pH space equals space minus space log space left square bracket H to the power of plus square bracket right pH space equal to space minus space log space 10 to the power of minus 1 end of exponential pH space equal to space 1

Calculation of pOH of solutions

6. (Vunesp) At 25 °C, the pOH of a hydrochloric acid solution, with a concentration of 0.10 mol/L, assuming total acid ionization, is: Data (at 25 °C): [H+ ] [OH- ] = 1,0 · 10-14; pOH = -log[OH- ]

a) 10-13
b) 10-1
c) 1
d) 7
e) 13

Correct alternative: e) 13.

1st step: calculate the pH of the solution.

HCl space space space space right arrow space space space space straight space H à power of more space space space more space space space Cl à power of minus 0 comma 01 straight M space space space space space space 0 comma 01 straight M pH space equal to space minus space log space space square bracket left straight H to the power of plus parenthesis right straight space pH space equals space minus space log space 0 comma 1 space space pH space equals space 1

2nd step: convert to pOH value.

pOH space equals space 14 space minus space pH pOH space equals space 14 space minus space 1 pOH space equals space 13

7. (Mackenzie) Water was added to 1.15 g of methanoic acid until 500 ml of solution was complete. Considering that at this concentration the degree of ionization of this acid is 2%, then the pOH of the solution is: Given the molar mass of methanoic acid = 46 g/mol

a) 2
b) 3
c) 12
d) 10
e) 11

Correct alternative: e) 11.

1st step: calculate the molar concentration of acid.

straight C with straight m subscript space equal to space numerator straight m over denominator straight M space. straight space V end of fraction straight C with straight m subscript space equal to numerator 1 comma 15 straight space g over denominator 46 typographic space straight g over mol space. space 0 comma 5 straight space L end of fraction straight C with straight m subscript space equal to 0 comma 05 mol space divided by straight L

2nd step: calculate the concentration of H ions+.

left square bracket H to the power of plus right square bracket space equals square space C with straight m subscript space. square space alpha parenthesis left square bracket H to the power of plus right square bracket space equal to 0 comma 05 mol space divided by straight L space. space 0 comma 02 left square bracket H to the power of plus right square bracket space equal to 1.10 to the power of minus 3 ends of the exponential mol space divided by straight L

3rd step: calculate the pH of the solution.

pH space equals space minus space log space left square bracket H to the power of plus right square bracket space pH space equals space minus space log space 10 to the power of minus 3 end of exponential space space pH space equals space 3

4th step: transform the value to pOH.

pOH space equals space 14 space minus space pH pOH space equals space 14 space minus space 3 pOH space equals space 11

pH and pOH in Enem

8. (Enem/2014) In order to minimize environmental impacts, Brazilian legislation determines that chemical residues released directly into the receiving body have a pH between 5.0 and 9.0. An aqueous liquid waste generated in an industrial process has a hydroxyl ion concentration equal to 1.0 x 10-10 mol/L. To comply with the legislation, a chemist separated the following substances, available in the company's warehouse: CH3COOH, Na2ONLY4, CH3OH, K2CO3 and NH4Cl.

So that the residue can be released directly into the receiving body, which substance could be used to adjust the pH?

a) CH3COOH
b) In2ONLY4
c) CH3oh
d) K2CO3
e) NH4Cl

Correct alternative: d) K2CO3.

If the concentration of hydroxyl ions is equal to 1.0 x 10-10 mol/L, the pOH of the residue is:

pOH space equals space minus space log space left square bracket OH to the power of minus right square bracket pOH space equals space minus space log space 10 to the minus 10 power end of exponential pOH space equals space 10

Consequently, the pH value is:

pH space equals space 14 space minus space pOH pH space equals space 14 space minus space 10 pH space equals space 4

As the chemical residue must be released with a pH between 5 and 9, it is necessary that a substance with a basic character is added to raise the pH.

Analyzing the alternatives, we have to:

a) WRONG. Methanolic acid is a carboxylic acid and, therefore, has an acidic character. Its addition would further lower the pH.

b) WRONG. Sodium sulfate is a salt resulting from the reaction between strong acid and base.

straight H with 2 subscript SO with 4 subscript space plus space 2 NaOH space right arrow Na with 2 subscript SO with 4 subscript space plus space 2 straight H with 2 subscript straight O

Therefore, it is a neutral salt and its addition would not change the pH.

c) WRONG. Methanol is an alcohol and has a neutral character, so its addition would not change the pH.

d) CORRECT. Potassium carbonate is a salt resulting from the reaction between a weak acid and a strong base.

straight H with 2 subscript CO with 3 subscript space plus space 2 KOH space right arrow space K with 2 subscript CO with 3 subscript space plus space 2 straight H with 2 straight subscript O

Its character is basic and is the most suitable for raising the pH of the residue by releasing OH ions- in solution from the alkaline hydrolysis of the salt.

CO with 3 subscript with 2 minus superscript end of superscript space plus straight space H with 2 straight subscript Harpoon space right on harpoon to left HCO with 3 subscript with more superscript space plus space OH to the power of any less

e) WRONG. Ammonium chloride is a salt resulting from the reaction between a strong acid and a weak base.

HCl space plus NH space with 4 subscript OH space right arrow NH space with 4 subscript Cl space plus straight space H with 2 straight subscript O

This salt has an acidic character and its addition would further lower the pH.

9. (Enem/2018) Red cabbage juice can be used as an acid-base indicator in different solutions. For this, just mix a little of this juice to the desired solution and compare the final color with the pH indicator scale, with values ​​from 1 to 14, shown below.

pH scale

Using the acid-base indicator and the scale to determine the pH of human saliva and gastric juice, we have, respectively, the colors

a) red and red.
b) red and blue.
c) pink and purple.
d) purple and yellow.
e) purple and red.

Correct alternative: e) purple and red.

A healthy mouth produces saliva with a pH around 7. It is a buffer solution of bicarbonate, biphosphate and monohydrogen phosphate so that the pH is practically constant.

Gastric juice, on the other hand, is composed of hydrochloric acid, a strong acid whose pH is close to 2.

Analyzing the alternatives, we have to:

a) WRONG. The red color indicates that both are acidic.

b) WRONG. This combination indicates that the substances are: acidic and basic.

c) WRONG. This combination indicates that the substances are: acidic and slightly basic.

d) WRONG. This combination indicates that the substances are: slightly basic and highly alkaline.

e) CORRECT. Saliva has a neutral pH and gastric juice has an acidic pH.

10. (Enem/2010) Decision to pave the MG-010 road, accompanying the introduction of exotic species, and the the practice of arson, threaten the sophisticated ecosystem of the rupestrian field of the Serra do reserve Ridge. Plants native to this region, highly adapted to a high concentration of aluminum, which inhibit root growth and hinder the absorption of nutrients and water, are being replaced by invasive species that would not naturally adapt to this environment, however they are dominating the edges of the highway, mistakenly called the "road ecological". Possibly the entry of exotic plant species in this environment was caused by the use, in this project, of a type of asphalt (cement-soil), which has a calcium-rich mixture, which caused chemical modifications to the soils adjacent to the highway MG-010.

Scientific American. Brazil. Year 7, nº 79. 2008 (adapted).

This statement is based on the use of cement-soil, a mixture rich in calcium that

a) inhibits aluminum toxicity, raising the pH of these areas.
b) inhibits aluminum toxicity, reducing the pH of these areas.
c) increases aluminum toxicity, raising the pH of these areas.
d) increases aluminum toxicity, reducing the pH of these areas.
e) neutralizes aluminum toxicity, reducing the pH of these areas.

Correct alternative: a) inhibits aluminum toxicity, raising the pH of these areas.

The calcium present in cement-soil is in the form of oxide, which in contact with water generates hydroxide.

CaO space plus straight space H with 2 straight subscript Space right arrow Ca left parenthesis OH right parenthesis with 2 subscript

Thus, the hydroxyl ions present in the medium raised the soil pH.

These species in contact with aluminum cause it to precipitate, decreasing its toxicity.

Al to the power of 3 plus end of exponential space plus space OH to the power of minus harpoon space right over harpoon to a left space Al left parenthesis OH right parenthesis with 3 left parenthesis straight s right parenthesis subscript end of subscribed

These chemical modifications in the soil enabled the growth of non-native plants in the region.

To acquire more knowledge, be sure to read these texts.:
  • Chemical balance
  • ionic balance
  • Titration
  • Exercises on chemical balance
  • Exercises on inorganic functions
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