Problem Set - Normality and pH

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Feb 20, 2024

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JWP(2024) FREE for Students – NOT FOR RESALE Practice Problems Set: Molarity (M), Normality (N) and pH Learning Goals: This problem set focuses on the relationship between molarity, normality and pH. After working on the problem set, students should be able to understand the relationships between normality, molarity and pH. 1. Determine the pH and [H + ] for the following acids. You may assume all acidic protons dissociate completely in water for the following acids. Show all your work and reasoning. 0.025M HCl 0.025M H 2 SO 4 2. Determine the pOH, pH and [OH - ] for the following bases. You may assume all hydroxide dissociate completely in water for the following acids. Show all your work and reasoning. 0.025M KOH 0.025M Ca(OH) 2 3. Convert 0.025M HCl and 0.025M KOH to normality (N). Show all your work and reasoning. You may assume 100% dissociation for each chemical in water. 4. Convert 0.025M H 2 SO 4 and 0.025M Ca(OH) 2 to normality (N). Show all your work and reasoning. You may assume 100% dissociation for each chemical in water. 5. A student prepared a 0.024N Mg(OH) 2 solution in the lab. For simplicity, you may assume that all the hydroxide ions dissociate completely in water. Calculate the molarity (M) and the pH for the magnesium hydroxide solution. 6. If the molarity of the carbonic acid in the following reaction was labeled as 0.1000M, convert the molarity to normality based on the reaction shown below. H 2 CO 3 + 2OH - = CO 3 2- + 2H 2 O 7. Calculate the pH for a 0.025N H 2 SO 4 . You may assume that both protons dissociate in water completely for H 2 SO 4 . Show all your work and reasoning. 8. How many milliliters of 0.08000N Ba(OH) 2 are required to reach the equivalence point in a titration of 15.00 mL of 0.1000N HCl? 9. How many milliliters of 0.04000M Ba(OH) 2 are required to reach the equivalence point in a titration of 15.00 mL of 0.1000N HCl?
JWP(2024) FREE for Students – NOT FOR RESALE Answer Key You should watch the following tutorial video on determining the number of significant figures for logarithms and anti-logarithms: https://www.youtube.com/watch?v=mEwY4f4Tync 1. 0.025M HCl = 0.025M [H + ] pH = -log [H+] = -log (0.025M) = 1.60 (2 significant figures only AFTER the decimal place) 0.025M H 2 SO 4 [H+] = 0.025M H 2 SO 4 × (2 mole H + / 1 mole H 2 SO 4 ) [H+] = 0.050M pH = -log [H+] = -log (0.050M) = 1.30 (2 significant figures only AFTER the decimal place) 2. 0.025M KOH= 0.025M [OH - ] pOH = -log [OH - ] = -log (0.025M) = 1.60 (2 significant figures only AFTER the decimal place) pH = 12.40 0.025M Ca(OH) 2 [OH - ] = 0.025M Ca(OH) 2 × (2 mole H + / 1 mole Ca(OH) 2 ) [OH - ] = 0.050M pOH = -log [OH - ] = -log (0.050M) = 1.30 (2 significant figures only AFTER the decimal place) pH = 12.70 3. HCl H + + Cl - Normality of HCl = 0.025M HCl × (1 eq. H + /1 mole HCl) = 0.025N or 0.025 eq. H + / L Note: The term “eq.” stands for equivalent KOH K + + OH - Normality of KOH = 0.025M KOH × (1 eq. OH - /1 mole KOH) = 0.025N or 0.025 eq. OH - / L Note: The term “eq.” stands for equivalent
JWP(2024) FREE for Students – NOT FOR RESALE Answer Key 4. H 2 SO 4 2H + + SO 4 2- Normality of H 2 SO 4 = 0.025M H 2 SO 4 × (2 eq. H + /1 mole H 2 SO 4 ) = 0.050N or 0.050 eq. H + / L Note: The term “eq.” stands for equivalent Ca(OH) 2 2OH - + Ca 2+ Normality of Ca(OH) 2 = 0.025M Ca(OH) 2 × (2 eq. OH - /1 mole Ca(OH) 2 ) = 0.050N or 0.050 eq. OH - / L Note: The term “eq.” stands for equivalent 5. 0.024N Mg(OH) 2 Molarity = 0.024N × (1 mole Mg(OH) 2 / 2 equivalent OH - ) = 0.012M Mg(OH) 2 0.024N implies 0.024M OH - ; pOH = -log [OH - ] = -log (0.024) = 1.62; pH = 12.38 6. 0.1000M × (2 equivalents of H + / 1 mol.) = 0.2000N 7. We need to calculate [H + ] before we can determine the pH We have the following dissociation equation based on the assumption that both protons dissociate completely in water in H 2 SO 4 H 2 SO 4 2H + + SO 4 2- We can write out the conversion factors based on the chemical equation shown above. 0.025N H 2 SO 4 = 0.025 eq. of H + / 1 L eq. refers to equivalent [H + ] = 0.025N H 2 SO 4 × (1 mole H 2 SO 4 /2 eq. H + ) × (2 mole H + /1 mole H 2 SO 4 ) [H + ] = 0.025M or 0.025 mole of H + /L As you can see, the unit of normality is implicitly equal to the molarity of H + in the solution. pH = -log [H+] = -log (0.025M) = 1.60 (2 significant figures only AFTER the decimal place)
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JWP(2024) FREE for Students – NOT FOR RESALE Answer Key 8. Normality of Ba(OH) 2 = 0.08000N The normality of 0.08000N is implicitly the same as 0.08000M OH - !! (See previous question) The molarity of Ba(OH) 2 is actually 0.04000M. At the equivalence point, Equivalents of H + = Equivalents of OH - N A ×V A = N B ×V B where A = Acid (H + ), B = Base (OH - ), N= Normality, V= Volume Therefore, 0.08000N × V B = 0.1000N × 15.00mL (There is no need to adjust the normality!) 𝑉𝑉 𝑏𝑏 = 18.75 𝑚𝑚𝑚𝑚 9. Molarity of Ba(OH) 2 = 0.04000M Since each Ba(OH) 2 contains 2 OH - , the actual molarity of OH - is 0.08000M. At the equivalence point, Moles of H + = Moles of OH - M A ×V A = M B ×V B where A = Acid (H + ), B = Base (OH - ), M= Molarity, V= Volume Therefore, 0.08000M × V B = 0.1000N × 15.00mL (You need to adjust the molarity manually before using the equation!) 𝑉𝑉 𝑏𝑏 = 18.75 𝑚𝑚𝑚𝑚 As you can see this is actually the “same” question as the previous questions except the concentration was given in molarity instead. At the equivalence point, we can use either equation. However, you need to be careful when using the equation with molarity. You may need to adjust the molarity of H + or OH - manually for polyprotic acid or polyacidic base when using the equation with molarity instead of normality (see questions #7 and #8). Equivalents of H + = Equivalents of OH - N A ×V A = N B ×V B OR Moles of H + = Moles of OH - M A ×V A = M B ×V B