CHEM Chapter 11 Quizlet

25 July 2022
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question
1) According to the Arrhenius concept, if NaOH were dissolved in water, it would act as A) a base. B) an acid. C) a source of hydronium ions. D) a source of H- ions. E) a proton donor.
answer
A) a base.
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2) According to the Arrhenius concept, if HNO3 were dissolved in water, it would act as A) a base. B) an acid. C) a source of hydroxide ions. D) a source of H- ions. E) a proton acceptor.
answer
B) an acid.
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3) The name given to an aqueous solution of HBr is A) hydrogen bromide. B) hydrobromic acid. C) bromic acid. D) bromous acid. E) hypobromous acid.
answer
B) hydrobromic acid.
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4) The name given to an aqueous solution of HNO3 is A) nitric acid. B) nitrous acid. C) hydrogen nitrate. D) hydronitrogen acid. E) hyponitric acid.
answer
A) nitric acid.
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5) The name given to an aqueous solution of HClO3 is A) chlorous acid. B) hypochlorous acid. C) chloric acid. D) hydrochloric acid. E) hypochloric acid.
answer
C) chloric acid.
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6) Which one of the following is characteristic of a base? A) produces H3O+ in water B) has a sour taste C) has a slippery, soapy feel D) turns blue litmus red E) is insoluble in water
answer
C) has a slippery, soapy feel
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7) The correct formula for sulfuric acid is A) H2SO4. B) H2SO3. C) H2SO4-. D) H2SO3-. E) SO42-.
answer
A) H2SO4.
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8) The name of Al(OH)3 is A) aluminum trihydroxide. B) monoaluminum trihydroxide. C) aluminum hydroxide. D) aluminum(III) hydroxide. E) aluminum oxygen hydride.
answer
C) aluminum hydroxide.
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9) According to the Brønsted-Lowry definition, A) an acid is a proton acceptor. B) a base produces H+ ions in aqueous solutions. C) a base is a proton donor. D) a base is a proton acceptor. E) an acid acts as the solvent
answer
D) a base is a proton acceptor.
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10) Identify the Brønsted-Lowry acids in the following reaction. H2O + CO32- → HCO3- + OH- A) H2O/HCO3- B) CO32-/HCO3- C) OH-/HCO3- D) CO32-/OH- E) H2CO3/H2O
answer
A) H2O/HCO3-
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11) The conjugate base of HClO3 is A) HClO2. B) ClO3-. C) Cl(OH)2. D) ClO3. E) HClO.
answer
B) ClO3-.
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12) The conjugate acid of HSO4- is A) SO42-. B) HSO4. C) H2SO4. D) H2SO4-. E) HSO3-.
answer
C) H2SO4.
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13) Which of the following is the strongest acid? A) H3PO4 B) NH4+ C) NaOH D) H2CO3 E) HCl
answer
E) HCl
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14) The stronger the acid, the ________ the conjugate base. A) stronger B) weaker
answer
B) weaker
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15) Which of the following is the strongest base? A) H3PO4 B) NH3 C) NaOH D) NaCl E) HCl
answer
C) NaOH
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16) Which of the following is correctly identified? A) NH3, strong acid B) NaOH, strong base C) HCl, weak acid D) H2CO3, strong acid E) Ca(OH)2, weak base
answer
B) NaOH, strong base
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17) Ammonium hydroxide is a weak base because A) it is a dilute solution. B) it is only slightly soluble in water. C) it cannot hold on to its hydroxide ions. D) it dissociates only slightly in water. E) it is completely ionized in aqueous solution.
answer
D) it dissociates only slightly in water.
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18) Which of the following is the strongest acid? A) HF (Ka for HF is 7.2 × 10-4) B) HCN (Ka for HCN is 4.9 × 10-10) C) HCNO (Ka for HCNO is 2 × 10-4) D) H3BO3 (Ka for H3BO3 is 5.4 × 10-10)
answer
A) HF (Ka for HF is 7.2 × 10-4)
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19) Which of the following is the weakest acid? A) HF (Ka for HF is 7.2 × 10-4) B) HCN (Ka for HCN is 4.9 × 10-10) C) HCNO (Ka for HCNO is 2 × 10-4) D) H3BO3 (Ka for H3BO3 is 5.4 × 10-10)
answer
B) HCN (Ka for HCN is 4.9 × 10-10)
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20) The Ka for hydrofluoric acid is 7.2 × 10-4. This means that HF is A) neutral in water solution. B) able to react with HCl. C) a weak acid. D) a strong acid. E) ionic.
answer
C) a weak acid.
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21) Predict whether the equilibrium of the following reaction favors reactants or products: NH4+ + H2O ⇌ NH3 + H3O+ A) Reactants are favored. B) Products are favored. C) Neither side is favored.
answer
A) Reactants are favored.
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22) For Kw, the product of [ H3O+] and [OH-] is A) 1.0 × 10-14. B) 1.0 × 10-7. C) 1.0 × 10-1. D) 1.0. E) 1.0 × 1014.
answer
A) 1.0 × 10-14.
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23) Which of the following statements correctly describes the hydronium-hydroxide balance in the given solution? A) In acids, [OH-] is greater than [ H3O+]. B) In bases, [OH-] = [ H3O+]. C) In neutral solutions, [ H3O+] = [ H2O]. D) In bases, [OH-] is greater than [ H3O+]. E) In bases, [OH-] is less than [ H3O+].
answer
D) In bases, [OH-] is greater than [ H3O+].
question
24) What is the [ H3O+] in a solution with [OH-] = 1 × 10-12 M? A) 1 × 10-12 M B) 1 × 102 M C) 1 × 10-7 M D) 1 × 10-8 M E) 1 × 10-2 M
answer
E) 1 × 10-2 M
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25) What is the [OH-] in a solution that has a [ H3O+] = 1 × 10-6 M? A) 1 × 10-2 M B) 1 × 10-6 M C) 1 × 10-8 M D) 1 × 10-10 M E) 1 × 10-12 M
answer
C) 1 × 10-8 M
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26) What is the [OH-] in a solution that has a [ H3O+] = 2.0 × 10-4 M? A) 2.0 × 10-10 M B) 5.0 × 10-10 M C) 1.0 × 10-10 M D) 2.0 × 10-4 M E) 5.0 × 10-11 M
answer
E) 5.0 × 10-11 M
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27) What is the [ H3O+] in a solution that has a [OH-] = 5.0 × 10-2 M? A) 2.0 × 10-12 M B) 2.0 × 10-2 M C) 1.0 × 10-14 M D) 2.0 × 10-4 M E) 5.0 × 10-12 M
answer
A) 2.0 × 10-12 M
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28) A solution which has [ H3O+] = 6.7 × 10-8 M is A) acidic. B) basic. C) neutral.
answer
B) basic.
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29) A solution which has [OH-] = 4.6 × 10-6 M is A) acidic. B) basic. C) neutral.
answer
B) basic.
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30) A solution which has [OH-] = 3.4 × 10-12 M is A) acidic. B) basic. C) neutral..
answer
A) acidic.
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31) A solution with a pH of 4 is A) extremely acidic. B) moderately acidic. C) neutral. D) slightly basic. E) extremely basic.
answer
B) moderately acidic.
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32) What is the pH of a solution with [ H3O+] = 1 × 10-9 M? A) 1.0 × 10-5 M B) -9.0 C) 5.0 D) -5.0 E) 9.0
answer
E) 9.0
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33) What is the pH of a solution with [ H3O+] = 3.0 × 10-3 M? A) 3.0 × 10-3 B) 2.52 C) 3.0 D) -2.52 E) 9.0
answer
B) 2.52
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34) What is the pH of a solution with [OH-] = 1 × 10-4 M? A) 10.0 B) -10.0 C) 4.0 D) -4.0 E) 1.0 × 10-10
answer
A) 10.0
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35) What is the pH of a solution with [OH-] = 2.0 × 10-10 M? A) 9.70 B) -9.70 C) 4.30 D) -4.30 E) 2.0 × 10-10
answer
C) 4.30
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36) The [ H3O+] of a solution with pH = 2 is A) 10 M. B) -10 M. C) 1 × 102 M. D) 1 × 10-2 M. E) 1 × 10-12 M.
answer
D) 1 × 10-2 M.
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37) In which of the following are the pH values arranged from the most basic to the most acidic? A) 1, 3, 6, 8, 11, 14 B) 2, 5, 7, 9, 10, 11 C) 14, 10, 7, 4, 3, 1 D) 14, 10, 7, 1, 3, 5 E) 7, 10, 14, 4, 3, 1
answer
C) 14, 10, 7, 4, 3, 1
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38) In which of the following are the pH values arranged from the most acidic to the most basic? A) 1, 3, 6, 8, 11, 14 B) 2, 5, 7, 9, 10, 1.1 C) 14, 10, 7, 4, 3, 1 D) 14, 10, 7, 1, 3, 5 E) 7, 10, 14, 4, 3, 1
answer
A) 1, 3, 6, 8, 11, 14
question
39) In a sulfuric acid solution, where the [ H3O+] is 0.01 M, what is the pH? A) pH = 12.0 B) pH = 2.0 C) pH = 3.0 D) pH = 11.0 E) pH = 5.0
answer
B) pH = 2.0
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40) The [ H3O+] of a solution with pH = 5.60 is A) 3 × 10-6 M. B) 2.5 × 10-8 M. C) 2.5 × 10-6 M. D) 4.0 × 10-6 M. E) 4.0 × 10-9 M.
answer
C) 2.5 × 10-6 M.
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41) The [OH-] of a solution with pH = 8.34 is A) 5 × 10-9 M. B) 4.6 × 10-9 M. C) 2.2 × 10-9 M. D) 3 × 10-6 M. E) 2.2 × 10-6 M.
answer
C) 2.2 × 10-9 M.
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42) When a piece of magnesium metal is added to hydrochloric acid, what gas is produced? A) oxygen B) chlorine C) nitrogen D) carbon dioxide E) hydrogen
answer
E) hydrogen
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43) An acid and base react to form a salt and water in a(n) ________ reaction. A) ionization B) dissociation C) oxidation D) neutralization E) reduction
answer
D) neutralization
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44) In a neutralization reaction A) two acids react to form water. B) water and a salt react to form an acid and a base. C) an acid and a salt react to form water and a base. D) a base and a salt react to form water and an acid. E) an acid and a base react to form a salt and water.
answer
E) an acid and a base react to form a salt and water.
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45) Which of the following is the correctly balanced equation for the complete neutralization of H3PO4 with Ca(OH)2? A) H3PO4 + Ca(OH)2 → CaHPO4 + 2H2O B) 3H3PO4 + Ca(OH)2 → Ca3(PO4)2 + 5H2O C) H3PO4 + Ca(OH)2 → Ca3(PO4)2+ H2O D) 2H3PO4 + 3Ca(OH)2 → Ca3(PO4)2 + 6H2O E) 4H3PO4 + 6Ca(OH)2 → 2Ca3(PO4)2 + 12H2O
answer
D) 2H3PO4 + 3Ca(OH)2 → Ca3(PO4)2 + 6H2O
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46) The neutralization reaction between Al(OH)3 and HNO3 produces the salt with the formula A) H2O. B) AlNO3. C) AlH2. D) Al(NO3)3. E) NO3OH.
answer
D) Al(NO3)3.
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47) How many moles of H2O are produced when 1 mole of Mg(OH)2 reacts with 1 mole of H2SO4? A) 1 B) 2 C) 3 D) 4 E) 5
answer
B) 2
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48) In a neutralization reaction, how many moles of HClO4 react with 1 mole of Al(OH)3? A) 1 B) 2 C) 3 D) 4 E) 5
answer
C) 3
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49) Which of the following is a neutralization reaction? A) KCl + NaNO3→ KNO3 + NaCl B) HNO3+ KOH → H2O + KNO3 C) H2O + SO3 → H2SO4 D) 4Na + O2 → 2Na2O E) 2NO2 → 2NO + O2
answer
B) HNO3+ KOH → H2O + KNO3
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50) 25.0 mL of 0.212 M NaOH is neutralized by 13.6 mL of an HCl solution. The molarity of the HCl solution is A) 0.212 M. B) 0.115 M. C) 0.500 M. D) 0.390 M. E) 0.137 M.
answer
D) 0.390 M.
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51) What is the molarity of a KOH solution if 25.0 mL neutralizes 35.0 mL of a 0.200 M HCl solution? A) 0.267 M B) 0.143 M C) 0.200 M D) 0.280 M E) 0.100 M
answer
D) 0.280 M
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52) A 25.0 mL sample of H3PO4 requires 50.0 mL of 1.50 M NaOH for complete neutralization. What is the molarity of the acid? H3PO4 + 3NaOH →Na3PO4 + 3H2O A) 0.333 M B) 3.00 M C) 1.50 M D) 1.00 M E) 0.750 M
answer
D) 1.00 M
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53) A 25.0 mL sample of H2SO4 requires 20.0 mL of 2.00 M KOH for complete neutralization. What is the molarity of the acid? H2SO4 + 2KOH → K2SO4 + 2H2O A) 2.00 M B) 2.50 M C) 0.800 M D) 1.60 M E) 1.25 M
answer
C) 0.800 M
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54) A 10.0 mL of 0.121 M H2SO4 is neutralized by 17.1 mL of KOH solution. The molarity of the KOH solution is A) 0.207 M. B) 0.4141 M. C) 0.0708 M. D) 0.428 M. E) 0.142 M.
answer
E) 0.142 M.
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55) How many milliliters of 0.400 M NaOH are required to completely neutralize 20.0 mL of 0.200 M HCl? A) 50.0 mL B) 40.0 mL C) 0.100 mL D) 20.0 mL E) 10.0 mL
answer
E) 10.0 mL
question
56) How many milliliters of 0.200 M NaOH are required to completely neutralize 5.00 mL of 0.100 M H3PO4? A) 7.50 mL B) 2.50 mL C) 0.833 mL D) 5.00 mL E) 15.0 mL
answer
A) 7.50 mL
question
57) How many milliliters of 0.100 M Ba(OH)2 are required to neutralize 20.0 mL of 0.250 M HCl? A) 100. mL B) 50.0 mL C) 25.0 mL D) 0.250 mL E) 0.50 mL
answer
C) 25.0 mL
question
For the problem(s) that follow, consider the reaction in which magnesium reacts with an HCl solution . Mg(s) + 2HCl(aq) → MgCl2 (aq) + H2(g) 58) If 2.00 g of Mg reacts completely with 50.0 mL of HCl solution, what is the molarity of the HCl solution? A) 1.65 M B) 80.0 M C) 8.00 M D) 0.823 M E) 3.29 M
answer
E) 3.29 M
question
59) The function of a buffer is to A) change color at the end point of a titration. B) maintain the pH of a solution. C) be a strong base. D) maintain a neutral pH. E) act as a strong acid.
answer
B) maintain the pH of a solution.
question
60) The normal blood pH is about A) 6.8. B) 7.0. C) 7.2. D) 7.4. E) 7.6.
answer
D) 7.4.
question
61) In a buffer system of HF and its salt, NaF, A) the HF neutralizes added acid. B) the HF neutralizes added base. C) the HF is not necessary. D) the F- neutralizes added H2O. E) the F- neutralizes added base.
answer
B) the HF neutralizes added base.
question
62) Which of the following is a buffer system? A) NaCl and NaNO3 B) HCl and NaOH C) H2CO3 and KHCO3 D) NaCl and NaOH E) H2O and HCl
answer
C) H2CO3 and KHCO3
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63) Which of the following could be a buffer? A) NaF B) HF + NaF C) HF + H2O D) NaF + H2O E) NaCl + HF
answer
B) HF + NaF
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64) What is the name of the medical condition of an asthmatic patient with a blood pH of 7.30? A) respiratory acidosis B) respiratory alkalosis C) metabolic acidosis D) metabolic alkalosis E) diabetes mellitus
answer
A) respiratory acidosis
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65) If a condition of hyperventilation occurs, the blood pH of the patient is expected to A) saturate. B) increase. C) decrease. D) stay the same. E) concentrate.
answer
B) increase.
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66) When hyperventilation (rapid breathing) causes a patient to exhale large amounts of CO2, the blood pH rises in a condition called A) metabolic acidosis. B) metabolic alkalosis. C) respiratory acidosis. D) respiratory alkalosis. E) pulmonary distress.
answer
D) respiratory alkalosis
question
67) Which solution has the highest pH? A) a buffer made with 0.10 M acetic acid and 0.01 M sodium acetate B) a buffer made with 0.10 M acetic acid and 0.10 M sodium acetate C) a buffer made with 0.01 M acetic acid and 0.10 M sodium acetate D) a buffer made with 0.01 M acetic acid and 0.01 M sodium acetate E) All of the buffers have the same pH since they are all made with acetic acid and sodium acetate.
answer
C) a buffer made with 0.01 M acetic acid and 0.10 M sodium acetate
question
68) Which solution has the lowest pH? A) a buffer made with 0.10 M acetic acid and 0.01 M sodium acetate B) a buffer made with 0.10 M acetic acid and 0.10 M sodium acetate C) a buffer made with 0.01 M acetic acid and 0.10 M sodium acetate D) a buffer made with 0.01 M acetic acid and 0.01 M sodium acetate E) All of the buffers have the same pH since they are all made with acetic acid and sodium acetate.
answer
A) a buffer made with 0.10 M acetic acid and 0.01 M sodium acetate
question
1) The name of HCl is________.
answer
hydrochloric acid
question
2) The conjugate acid of H2PO42- is ________.
answer
H2PO4-
question
3) Identify the conjugate acid-base pairs in the following reaction: HCl + NH3 → NH4+ + Cl-
answer
HCl/Cl- and NH4+/NH3
question
4) Write the proper Ka expression for the ionization of acetic acid, HC2H3O2
answer
Answer: Ka = [C2H3O2-][H3O+]/[HC2H3O2]
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5) If an acid has a Ka << 1, is it classified as a weak acid or a strong acid?
answer
Answer: a weak acid
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6) The pH of 0.0010 M HCl is ________.
answer
Answer: 3.00
question
7) The pH of 0.0001 M KOH is ________.
answer
Answer: 10.0
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8) In a titration experiment, a student used 24.13 mL of 0.111 M sodium hydroxide to neutralize 20.00 mL of a hydrochloric acid solution. What was the molarity of the acid solution?
answer
Answer: 0.134 M
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9) A student had 2.0 L of a sodium hydroxide solution that had a concentration of 0.4000 M. The student needed to make 500 mL of a 0.1000 M solution. How many mL of the concentrated solution was needed?
answer
Answer: 125 mL
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10) A student had 25.0 mL of 0.100 M H2SO4 solution. How many mL of a 0.100 M NaOH solution will the sulfuric acid neutralize?
answer
Answer: 50.0 mL
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11) What is the pH of a buffer made with 0.10 M acetic acid and 0.01 M sodium acetate?
answer
Answer: 3.74
question
1) HCl is hydrochlorous acid.
answer
FALSE
question
2) The conjugate base of HCl is Cl-.
answer
TRUE
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3) HCl is a strong acid.
answer
TRUE
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4) A strong acid is completely dissociated in water.
answer
TRUE
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5) In any water solution, [H3O+][OH-] = 1.0 × 10-7.
answer
FALSE
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6) The pH of 0.001 M HCl is 12.0.
answer
FALSE
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7) A solution with a pH of 4.0 is more acidic than a solution with a pH of 6.0.
answer
TRUE
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8) A solution with a pH of 4.0 is basic.
answer
FALSE
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9) Magnesium metal is not attacked by sulfuric acid solutions.
answer
FALSE
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10) For most reactions of acids with bases, the resulting products are a salt and water.
answer
TRUE
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11) If the carbon dioxide level in the blood is too high, more carbonic acid is produced, and this results in the condition termed acidosis.
answer
TRUE
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12) Alkalosis is the blood condition in which the blood pH is higher than normal.
answer
TRUE
question
13) A buffer is a solution that tends to maintain a neutral pH.
answer
FALSE
question
1) HCl
answer
acid
question
2) NaOH
answer
base
question
3) NH3
answer
base
question
4) H2SO4
answer
acid
question
5) CO32-
answer
base
question
6) NaCl
answer
neither acid or base
question
7) CN-
answer
base
question
8) H2CO3
answer
acid
question
In the following solutions, is the [OH-] greater than, less than, or equal to the [H3O+]? 9) acid
answer
less than
question
In the following solutions, is the [OH-] greater than, less than, or equal to the [H3O+]? 10) base
answer
greater than
question
In the following solutions, is the [OH-] greater than, less than, or equal to the [H3O+]? 11) [H3O+] = 1.0 × 10-6 M
answer
less than
question
In the following solutions, is the [OH-] greater than, less than, or equal to the [H3O+]? 12) [H3O+] = 1.0 × 10-10 M
answer
greater than
question
In the following solutions, is the [OH-] greater than, less than, or equal to the [H3O+]? 13) [H3O+] = 1.0 × 10-7 M
answer
equal to
question
In the following solutions, is the [OH-] greater than, less than, or equal to the [H3O+]? 14) pH = 2
answer
less than
question
In the following solutions, is the [OH-] greater than, less than, or equal to the [H3O+]? 15) pH = 9
answer
greater than
question
16) has a sour taste
answer
acid
question
17) has a pH = 4.5
answer
acid
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18) turns blue litmus paper red
answer
acid
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19) contains more hydronium ions than hydroxide ions
answer
acid
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20) H2O
answer
neutral
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21) [H3O+] = 3.4 × 10-5 M
answer
acid
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22) [OH-] = 2.8 × 10-2 M
answer
base
question
23) Ca(OH)2
answer
base
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24) pH =9.0
answer
base
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25) [H3O+] = 1.0 × 10-7 M
answer
neutral
question
1) Name the following acids: a) HCl
answer
chloride; hydrochloric acid
question
1) Name the following acids: b) H2SO3
answer
sulfite; sulfurous acid
question
1) Name the following acids: c) H3PO4
answer
phosphate; phosphoric acid
question
1) Name the following acids: d) HI
answer
iodide; hydroiodic acid
question
1) Name the following acids: e) HClO3
answer
chlorate; chloric acid
question
2) Write the conjugate base for each of the following acids (subtract H+): a) HNO3
answer
- H+ = NO3-
question
2) Write the conjugate base for each of the following acids (subtract H+): b) H2SO4
answer
- H+ = HSO4-
question
2) Write the conjugate base for each of the following acids (subtract H+): c) HCl
answer
- H+ = Cl-
question
2) Write the conjugate base for each of the following acids (subtract H+): d) H2CO3
answer
- H+ = HCO3-
question
3) Write the conjugate acid for each of the following bases (add H+): a) NO3^-
answer
+ H+ = HNO3
question
3) Write the conjugate acid for each of the following bases (add H+): b) HCN
answer
+ H+ = H2CN^+
question
3) Write the conjugate acid for each of the following bases (add H+): c) OH^-
answer
+ H+ = H2O
question
3) Write the conjugate acid for each of the following bases (add H+): d) H2PO4^-
answer
+ H+ = H3PO4
question
4) Identify the conjugate acid-base pairs in the following equation: HNO₂ (aq) + H₂O (l) --> H₃O⁺ (aq) + NO₂⁻ (aq)
answer
acid- HNO2 (aq) base- H2) (l) conjugate acid (+H+)- H3O^+ (aq) conjugate base (-H+)- NO2^- (aq)
question
5) Write an equation showing how the buffer system neutralizes an added acid (H₃O⁺)
answer
base + H3O^+ (aq) --> conjugate acid + H2O (aq) NO2^- (aq) + H3O^+ (aq) --> HNO2 (aq) + H2O (aq)
question
6) What is the [OH⁻] of a solution if [H₃O⁺] is 6.2 x 10⁻⁸ M?
answer
Kw = [H3O^+][OH^-] OH = Kw/[H3O^+] = 1.0*10^-14/6.2*10^-8= 1.6*10^-7 M
question
7) What is the [H₃O⁺] of a solution if [OH⁻] is 2.7 x 10⁻¹²?
answer
Kw = [H3O^+][OH^-] [H3O^+] = Kw/[OH^-] = 1.0*10^-14/2.7*10^-12 = 3.7*10^-3 M
question
8) Determine the pH of a solution with an [H₃O⁺] of 5.9 x 10⁻⁷.
answer
pH= - log [H3O^+] pH= - log (5.9*10^-7)= 6.2
question
9) Determine the [OH⁻] of a solution with a pH of 8.3
answer
[H3O+] = 10^-pH [H3O^+] = 10^-8.5 Kw = [OH^-][H3O^+] [OH^-] = Kw/[H3O^+] = 1.0*10^-14/5.0*10^-9 = 2.0*10^-6 M
question
10) Determine the pH of a 0.600 g KOH in 0.340 L of solution
answer
Kw = [H3O^+][OH^-] [H3O^+] = Kw/[OH^-] 0.600 g (1 mol/56.1 g) = 0.0107 mol KOH M = mol/L M = 0.0107 mol/0.340 L = 0.0315 M KOH [H3O^+] = 1.0*10^-14 M/0.0315 M = 3.17*10^-13 M pH = -log [H3O^+] pH = -log (3.17*10^-13) pH = 12.5