Additional Problems: Gas Laws 1. When a bottle of concentrated HCl was spilled, 1.2 kg of calcium carbonate was required to neutralize the spill. What volume of carbon dioxide was released by the neutralization at 735 mm Hg and 20.0C ? (Hint: you need to write out the reaction first.) 3.0 x 102 L 2. A 100.0 mL sample of air exhaled from the lungs is analyzed and found to contain 0.0830 g N2, 0.0194 g O2, 0.00640 g CO2, and 0.00441 g water vapor at 35C. What is the partial pressure of each component and the total pressure of the sample? PN2 PO2 PCO2 PH2O Ptot = 0.749 atm = 0.153 atm = 0.0368 atm = 0.0619 atm = 1.000 atm 3. You are given 1.56 g of a mixture of potassium chlorate and potassium chloride. When heated, the potassium chlorate decomposes to potassium chloride and oxygen. 2KClO3 (s) 2KCl(s) + 3O2(g) 327 mL of oxygen are collected over water at 19.0C. The total pressure of the gas in the collection flask is 735 mmHg. What is the percent by mass of the potassium chlorate in the original mixture? 67.6 % 4. What are the partial pressures in atm of the gases in a mixture that contains 1.0 g of hydrogen and 8.0 g of argon in a 3.0 L container at 27.0C? What is the total pressure? PH2 = 4.1 atm PAr = 1.6 atm Ptot = 5.7 atm 5. What is the rms speed of carbon dioxide molecules in a container of gas at 23C? 410. m/s 6. What is the molar mass of a gas that effuses at 1/3 the rate of helium? 36.03 g/mol 7. A sample of Kr(g) escapes through a tiny hole in 87.3 s. How long would it take an identical sample of neon gas to effuse under the same conditions of T and P? 42.8 sec (hint: rate and time are not the same thing! In fact, they are inversely proportional (a longer time means a lower rate.)