MathSci Problems
Chemistry Practice Problems
Written questions with full solutions that I’ve created for students in the past:
Intro to Fischer Esterification
Acyl CoA Dehydrogeanse Mechanism Practice Problem
These multiple choice quizzes were drafted with AI assistance and then carefully revised by me. I hope they give you a fun challenge and a chance to see the concepts from new angles!
Question 1: What is a key mechanistic difference between acid-catalyzed and base-catalyzed aldol condensations?
Question 2: An organic chemistry student performs an aldol condensation using cyclohexanone in aqueous sodium hydroxide at pH 12. When the pH is lowered to 8, the reaction slows dramatically. Why?
Question 3: A chemist investigates the aldol condensation of ethyl acetoacetate with p nitrobenzaldehyde and observes a much faster reaction than expected. What's a reasonable explanation for this?
Question 4: A student isolates a β hydroxy ketone from an aldol reaction but finds that it spontaneously converts to an α,β unsaturated product. What drives this conversion?
Question 5: A chemist compares the aldol condensation of acetophenone (C₆H₅COCH₃) and benzophenone (C₆H₅COC₆H₅) under identical basic conditions. Only acetophenone reacts. Why does benzophenone fail to react?
Question 6: Researchers studying a rare metabolic disorder isolate a mutated form of fructose bisphosphate aldolase from patient muscle tissue. Kinetic studies show that while substrate binding remains unchanged, the enzyme's rate of splitting fructose 1,6 bisphosphate is significantly reduced, with no alternative products observed. Based on these observations, which effect best explains the impact of the mutation?
Question 7: A chemist is optimizing an aldol reaction by using chloroacetone (ClCH₂COCH₃) instead of acetone. How might the presence of chlorine on the α carbon of chloroacetone influence the reaction under basic conditions?
Question 8: A chemist works with a strongly electrophilic aldehyde that lacks α hydrogens. Under strong basic conditions, the aldehyde undergoes a disproportionation reaction known as the Cannizzaro reaction. Which aspect of the aldehyde's structure best explains why the Cannizzaro reaction occurs instead of aldol condensation?
Question 9: A chemist employs pyrrolidine as an organocatalyst to promote an aldol reaction between cyclohexanone and an aromatic aldehyde under mild conditions. What is the role of pyrrolidine in this transformation?
Question 10: A research lab is developing a scalable synthesis for an α,β unsaturated ketone. In pilot experiments, they observe that at lower temperatures the reaction yields mainly the β hydroxy ketone, while at higher temperatures the product shifts to the unsaturated ketone. Which effect best describes the outcome at higher temperatures?
1. A scientist is designing a galvanic cell to power a small medical device. The cell uses a copper (Cu²⁺/Cu) cathode and a zinc (Zn²⁺/Zn) anode, with standard reduction potentials of +0.34 V and -0.76 V, respectively. The device requires a minimum voltage of 1.0 V to operate. What is the minimum cell potential, and will the device function under standard conditions?
2. During an electrolysis experiment, a student passes a constant current of 2.0 A through a solution of CuSO₄ for 30 minutes, depositing copper metal at the cathode. Using Faraday’s laws, how many grams of copper are deposited? (Faraday constant = 96,485 C/mol, molar mass of Cu = 63.55 g/mol.)
3. A car battery (lead–acid) is being recharged, so it operates as an electrolytic cell. Which electrode is the anode during recharging, and what reaction occurs there?
4. A concentration cell is constructed with two Ag⁺/Ag half-cells, one with [Ag⁺] = 0.1 M and the other with [Ag⁺] = 1.0 M. The standard reduction potential for Ag⁺/Ag is +0.80 V. What is the cell potential at 298 K, and which half-cell is the cathode? (R = 8.314 J/mol·K, F = 96,485 C/mol.)
5. A NiCd battery delivers 0.50 A for 2.0 h. Cadmium is oxidized via Cd + 2OH⁻ → Cd(OH)₂ + 2e⁻. How many moles of Cd are oxidized?
6. A researcher designs a galvanic cell with a magnesium (Mg²⁺/Mg, E° = -2.37 V) anode and an iron (Fe²⁺/Fe, E° = -0.44 V) cathode to study corrosion prevention. If the electrolyte concentration decreases over time, what happens to the cell potential and why?
7. An electrolytic cell is used to purify a copper sample. The anode is impure copper, and the cathode is pure copper. During electrolysis, Cu²⁺ ions are reduced at the cathode, while impurities like Zn remain in solution. Why does zinc remain in solution rather than deposit at the cathode?
8. A galvanic cell uses a hydrogen electrode (Pt, H₂/H⁺) and a silver electrode (Ag⁺/Ag). The sensor’s output drops when the hydrogen‐electrode solution becomes more acidic. Why does the cell potential decrease as pH decreases?
9. A student constructs a voltaic cell with two half-cells: one with Fe³⁺/Fe²⁺ (E° = +0.77 V) and another with Cu²⁺/Cu (E° = +0.34 V). The cell shows a steady drop in voltage to ~ 0 V after long operation, while the salt bridge remains intact. What is the most likely reason the cell stops producing voltage?
10. A sensor uses a galvanic cell with E∘=1.50V. In cold conditions, perfornamce drops. Assuming ΔS∘>0, how does temperature affect the cell potential and why (thermodynamic reason)?
1. A chemist synthesizes a compound containing only carbon, hydrogen, and oxygen. Combustion of 1.50 g of the compound produces 3.30 g CO₂ and 1.35 g H₂O. The compound’s molar mass is approximately 160 g/mol. What is the molecular formula of the compound?
2. A reaction between 10.0 g of sodium metal and excess chlorine gas produces sodium chloride. The reaction is 85% efficient due to side reactions. What is the actual yield of NaCl in grams? (Molar masses: Na = 23.0 g/mol, NaCl = 58.5 g/mol.)
3. A student balances the redox reaction of potassium permanganate (KMnO₄) with oxalic acid (H₂C₂O₄) in acidic solution, producing CO₂ and Mn²⁺. The oxidation number of Mn changes from +7 to +2. What is the coefficient of CO₂ in the balanced equation, and how many electrons are transferred per KMnO₄ molecule?
4. A 5.00 g sample of an iron oxide (FeₓOᵧ) is reduced with carbon monoxide, producing 3.50 g of pure iron. (Molar masses: Fe = 55.85 g/mol, O = 16.00 g/mol.) What is the empirical formula of the iron oxide?
5. A chemist mixes 0.200 mol Al with 0.400 mol CuSO₄ in aqueous solution, undergoing: 2Al + 3CuSO₄ → Al₂(SO₄)₃ + 3Cu. (Molar mass of Cu = 63.55 g/mol.) What is the limiting reactant, and what is the theoretical yield of copper in grams?
6. A disproportionation reaction occurs when 0.100 mol of chlorine gas (Cl₂) reacts with cold, dilute NaOH, forming NaCl and NaClO. (Molar masses: NaClO production details provided.) What is the mass of NaClO produced, and what is the oxidation number of chlorine in NaClO?
7. A 2.50 L solution of 0.100 M KMnO₄ is used to titrate a solution containing Fe²⁺ ions, reducing MnO₄⁻ to Mn²⁺ and oxidizing Fe²⁺ to Fe³⁺ in acidic conditions. The titration requires 25.0 mL of KMnO₄ to reach the endpoint. What is the mass of Fe²⁺ in the original solution? (Molar mass of Fe = 55.85 g/mol.)
8. A student combusts 4.00 g of a hydrocarbon (CₓHᵧ) in excess O₂, producing 12.6 g CO₂ and 5.14 g H₂O. The gas has density 1.25 g/L at STP. What is the molecular formula?
9. A reaction vessel contains 5.00 g of CaCO₃ and 200 mL of 0.500 M HCl. The reaction produces CaCl₂, CO₂, and H₂O. (Molar masses: CaCO₃ = 100.1 g/mol, CO₂ = 44.0 g/mol.) What is the limiting reactant, and how many grams of CO₂ are produced?
10. A redox reaction involves hydrogen peroxide (H₂O₂) acting as both an oxidizing and reducing agent in basic solution, producing O₂ and H₂O. A 0.500 L solution of 0.200 M H₂O₂ reacts completely. How many moles of O₂ are produced, and what is the change in oxidation number for oxygen in H₂O₂ when it acts as a reducing agent?
1. A biochemist prepares a 0.10 M solution of ammonia (NH₃, K_b = 1.8 × 10⁻⁵) to study its buffering capacity. The solution is at 25°C. What is the pH of the solution, and what is the conjugate acid of NH₃?
2. A student titrates 25.0 mL of 0.100 M acetic acid (CH₃COOH, Kₐ = 1.8 × 10⁻⁵) with 0.100 M NaOH. The titration reaches the equivalence point. What is the pH at the equivalence point, and why?
3. A buffer is prepared by mixing 0.200 M HF (Kₐ = 6.8 × 10⁻⁴) and 0.300 M NaF in a 1.00 L solution. A small amount of HCl is added. What is the pH of the buffer before adding HCl, and how does the pH change after adding 0.010 mol HCl?
4. A 0.050 M solution of sodium benzoate (C₆H₅COONa, conjugate base of benzoic acid, Kₐ = 6.3 × 10⁻⁵) is prepared to calibrate a pH meter at 25°C. What is the pH of the solution?
5. A researcher studies the ionization of water in a high-altitude lab at 10°C, where K_w = 2.9 × 10⁻¹⁵. What is the pH of pure water at this temperature, and how does it compare to 25°C?
6. A student prepares a buffer with 0.100 M H₂CO₃ (Kₐ₁ = 4.3 × 10⁻⁷) and 0.200 M NaHCO₃. They add a small amount of NaOH to the buffer. What is the initial pH, and how does the buffer resist pH change upon adding NaOH?
7. A 0.100 M solution of HNO₃ is titrated with 0.100 M KOH. What is the pH at the halfway point, and why is the pH at the equivalence point 7.00?
8. A pharmaceutical lab tests a 0.050 M solution of methylamine (CH₃NH₂, K_b = 4.4 × 10⁻⁴) mixed with 0.030 M CH₃NH₃Cl to form a buffer. What is the pH of the buffer, and what happens if 0.005 mol HCl is added to 1.00 L of the buffer?
9. A student dissolves 0.10 mol of NaCN in 1.00 L of water. The Kₐ of HCN is 6.2 × 10⁻¹⁰. What is the pH of the solution, and what is the conjugate acid of CN⁻?
10. A clinical lab prepares a phosphate buffer (H₂PO₄⁻/HPO₄²⁻, Kₐ₂ = 6.2 × 10⁻⁸) to maintain a pH of 7.20. They adjust the ratio of [HPO₄²⁻]/[H₂PO₄⁻]. What is the required ratio, and how does adding a small amount of strong acid affect the pH?