A.P. Chemistry Chapter 10 – 13 Review 1. A student performs an experiment to determine the volume of hydrogen gas produced when a given mass of magnesium reacts with excess HCl(aq). The student begins with a 0.0360 g sample of pure magnesium and a solution of 2.0 M HCl(aq). a. Write the net ionic equation for the reaction between magnesium metal and hydrochloric acid b. Calculate the number of moles of magnesium in the 0.0360 g sample c. Calculate the number of moles of HCl(aq) needed to completely react with the sample of magnesium. As the magnesium reacts, the hydrogen gas produced is collected by water displacement at 23.00C. The pressure of the gas in the collection tube is measured to be 749 torr. d. Given that the equilibrium vapor pressure of water is 21 torr at 23.00C, calculate the pressure that the H2 gas produced in the reaction would have if it were dry. e. Calculate the volume, in liters, measured at the conditions in the laboratory, that the H2(g) produced in the reaction would have if it were dry. f. The laboratory procedure specified that the concentration of the HCl solution be 2.0 M, but only 12.3 M HCl solution was available. Describe the steps for safely preparing 50.0 mL of 2.0 M HCl(aq) using 12.3 M HCl solution and materials selected from the list below. Show any necessary calculation(s). 10.0 mL graduated cylinder Distilled water 250 mL beakers Balance 50.00 mL volumetric flask Dropper 2. Answer the following questions in terms of principles of chemical bonding and intermolecular forces. In each explanation where a comparison is to be made, a complete answer must include a discussion of both substances. Consider the following molecules: a. At 1 atm and 298 K, pentane is a liquid whereas propane is a gas. Explain. b. At 1 atm and 298 K, methanol is a liquid whereas propane is a gas. Explain. c. Indicate the hybridization of the carbon atom in each of the following: i. Methanol ii. Methanoic (formic) acid d. Draw the complete Lewis electron-dot diagram for a molecule of propanoic acid, C3H5OOH. e. Explain the following observations about the two carbon-oxygen bonds in the methanoate (formate) anion, HCO2-, You may draw a Lewis electron-dot diagram (or diagrams) of the methanoate ion as part of your explanations. i. The two carbon-oxygen bonds in the methanoate (formate) anion, HCO2-, have the same length. ii. The length of the carbon-oxygen bonds in the methanoate (formate) anion, HCO2-, is intermediate between the length of the carbon-oxygen bond in methanol and the length of the carbon-oxygen bond in methanal. A.P. Chemistry Chapter 10 – 13 Review Answers 1. A student performs an experiment to determine the volume of hydrogen gas produced when a given mass of magnesium reacts with excess HCl(aq). The student begins with a 0.0360 g sample of pure magnesium and a solution of 2.0 M HCl(aq). a. Write the net ionic equation for the reaction between magnesium metal and hydrochloric acid Mg(s) + 2 H+(aq) Mg2+(aq) + H2(g) b. Calculate the number of moles of magnesium in the 0.0360 g sample 1 𝑚𝑜𝑙 𝑀𝑔 0.0360 g Mg x 24.31 𝑔 𝑀𝑔 = 0.00148 mol Mg c. Calculate the number of moles of HCl(aq) needed to completely react with the sample of magnesium. 2 𝑚𝑜𝑙 𝐻 + 0.00148 mol Mg x 1 𝑚𝑜𝑙 𝑀𝑔 = 0.00296 mol HCl As the magnesium reacts, the hydrogen gas produced is collected by water displacement at 23.00C. The pressure of the gas in the collection tube is measured to be 749 torr. d. Given that the equilibrium vapor pressure of water is 21 torr at 23.00C, calculate the pressure that the H2 gas produced in the reaction would have if it were dry. P(H2) = P(tot) – P(H2O) = 749 torr – 21 torr = 728 torr e. Calculate the volume, in liters, measured at the conditions in the laboratory, that the H2(g) produced in the reaction would have if it were dry. PV = nRT V= 𝑛𝑅𝑇 𝑃 f. = 1 𝑎𝑡𝑚 728 torr x 760 𝑡𝑜𝑟𝑟 = 0.958 atm = P (𝑜.𝑜𝑜148 𝑚𝑜𝑙 𝐻2 )(0.0821 0.958 𝑎𝑡𝑚 𝐿 𝑎𝑡𝑚 )(296 𝐾) 𝑚𝑜𝑙 𝐾 = 0.0375 L The laboratory procedure specified that the concentration of the HCl solution be 2.0 M, but only 12.3 M HCl solution was available. Describe the steps for safely preparing 50.0 mL of 2.0 M HCl(aq) using 12.3 M HCl solution and materials selected from the list below. Show any necessary calculation(s). 10.0 mL graduated cylinder Distilled water 250 mL beakers Balance 50.00 mL volumetric flask Dropper M1V1 = M2V2 (12.3 M)V1 = (2.0 M)(50.0 mL) V1 = 8.1 mL Pour some distilled water into a 50.00 mL volumetric flask so that it is about half full. Use the graduated cylinder to measure 8.1 mL of the concentrated HCl then add that slowly to the volumetric flask and swirl to mix. Add more distilled water and fill to the line with the dropper. Cap and shake 13x’s. Answer the following questions in terms of principles of chemical bonding and intermolecular forces. In each explanation where a comparison is to be made, a complete answer must include a discussion of both substances. Consider the following molecules: a. At 1 atm and 298 K, pentane is a liquid whereas propane is a gas. Explain. Pentane has more ldf than propane because pentane has more electrons than propane. The higher ldf means a stronger attraction, which leads to a higher boiling point. b. At 1 atm and 298 K, methanol is a liquid whereas propane is a gas. Explain. Propane molecules only have ldf, while methanol has ldf and hydrogen-bonding. Hydrogen bonding is a stronger intermolecular attraction than ldf alone, which leads to stronger intermolecular forces between the methanol molecules than the propane molecules. The stronger the imf, the higher the boiling point, which is why methanol is a liquid, while propane is a gas. c. Indicate the hybridization of the carbon atom in each of the following: i. Methanol sp3 ii. Methanoic (formic) acid sp3 d. Draw the complete Lewis electron-dot diagram for a molecule of propanoic acid, C3H5OOH. e. Explain the following observations about the two carbon-oxygen bonds in the methanoate (formate) anion, HCO2-, You may draw a Lewis electron-dot diagram (or diagrams) of the methanoate ion as part of your explanations. i. The two carbon-oxygen bonds in the methanoate (formate) anion, HCO2-, have the same length. There are 2 resonance structures, one for each oxygen having a single bond and the other a double bond. The average would be a 1.5 bond. ii. The length of the carbon-oxygen bonds in the methanoate (formate) anion, HCO2-, is intermediate between the length of the carbon-oxygen bond in methanol and the length of the carbon-oxygen bond in methanal. Since the average of the resonance structures is a 1.5 bond, the bond length of methanoate would be halfway between the single bond of methanol and the double bond of methanol.