Dougherty Valley HS Chemistry Dalton’s Law of Partial Pressure Practice Problems Name: Date: Period: Directions: Using the Dalton’s Law of Partial pressures, complete the following calculations on a separate sheet of paper, be sure to attach this sheet to your answers. Must show ALL WORK to receive credit. Abbreviations atm - atmosphere mm Hg - millimeters of mercury torr - another name for mm Hg Pa - Pascal (kPa = kilo Pascal) K - Kelvin °C - degrees Celsius Conversions K = °C + 273 1 cm3 (cubic centimeter) = 1 mL (milliliter) 1 dm3 (cubic decimeter) = 1 L (liter) = 1000 mL Standard Conditions 0.00 °C = 273 K 1.00 atm = 760.0 mm Hg = 101.325 kPa = 101,325 Pa The vapor pressure of water in kilopascals is here. Remember to convert to mmHg or atm. as needed. [1] A container holds three gases: oxygen, carbon dioxide, and helium. The partial pressures of the three gases are 2.00 atm, 3.00 atm, and 4.00 atm, respectively. What is the total pressure inside the container? 9.00 atm. [2] A container with two gases, helium and argon, is 30.0% by volume helium. Calculate the partial pressure of helium and argon if the total pressure inside the container is 4.00 atm. 2.8 atm [3] If 60.0 L of nitrogen is collected over water at 40.0 °C when the atmospheric pressure is 760.0 mm Hg, what is the partial pressure of the nitrogen? 705 mmHg [4] 80.0 liters of oxygen is collected over water at 50.0 °C. The atmospheric pressure in the room is 96.00 kPa. What is the partial pressure of the oxygen? 83.7 kPa [5] A tank contains 480.0 grams of oxygen and 80.00 grams of helium at a total pressure of 7.00 atmospheres. Calculate the following. a) How many moles of O2 are in the tank? 15 mol b) How many moles of He are in the tank? 20 mol c) Total moles of gas in tank. 35 mol d) Mole fraction of O2. Skip e) Mole fraction of He. Skip f) Partial pressure of O2. 3.0002 atm g) Partial pressure of He. 3.9998 atm [6] A tank contains 5.00 moles of O2, 3.00 moles of neon, 6.00 moles of H2S, and 4.00 moles of argon at a total pressure of 1620.0 mm Hg. Complete the following table Moles O2 5 Ne 3 H2S 6 Ar 4 Mole fraction Pressure fraction Partial Pressure Total 18.00 1 0.287 0.167 0.333 0.222 1 1620.0 [7] A mixture of 14.0 grams of hydrogen, 84.0 grams of nitrogen, and 2.0 moles of oxygen are placed in a flask. When the partial pressure of the oxygen is 78.00 mm of mercury, what is the total pressure in the flask? 468 mmHg [8] A flask contains 2.00 moles of nitrogen and 2.00 moles of helium. How many grams of argon must be pumped into the flask in order to make the partial pressure of argon twice that of helium? Vapor Pressure Data for H2O If you need to convert to atmospheres, divide by 101.325. If you need to convert to millimeters of mercury, divide by 101.325, then multiply by 760.0 Click if you need to interpolate between whole degrees. - Below Temperature 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 kPa 0.61129 0.65716 0.70605 0.75813 0.81359 0.8726 0.93537 1.0021 1.073 1.1482 1.2281 1.3129 1.4027 1.4979 1.5988 1.7056 1.8185 1.938 2.0644 2.1978 2.3388 2.4877 2.6447 2.8104 2.985 3.169 3.3629 3.567 3.7818 4.0078 4.2455 4.4953 4.7578 5.0335 5.3229 5.6267 5.9453 6.2795 6.6398 6.9969 7.3814 7.784 8.2054 8.6463 9.1075 9.5895 10.094 10.62 11.171 11.745 Temperature 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 kPa 12.344 12.97 13.623 14.303 15.012 15.752 16.522 17.324 18.159 19.028 19.932 20.873 21.851 22.868 23.925 25.022 26.163 27.347 28.576 29.852 31.176 32.549 33.972 35.448 36.978 38.563 40.205 41.905 43.665 45.487 47.373 49.324 51.342 53.428 55.585 57.815 60.119 62.499 64.958 67.496 70.117 72.823 75.614 78.494 81.465 84.529 87.688 90.945 94.301 97.759 Source: Handbook of Chemistry and Physics: 73rd Edition (1992-93) Interpolation Suppose you need to determine the vapor pressure of water at 25.4°C. You know that at 24.0°C the vapor pressure is 2.985 kPa and at 25.0°C it is 3.169 kPa. First, determine the difference between the two pressures: 3.169 - 2.985 = 0.184 kPa. Second, multiply the difference by the decimal portion (ONLY!) of the desired temperature: 0.184 x 0.4 = 0.0736 kPa. Third, add this value to the LOWER pressure you used in the first step: 2.985 + 0.0736 = 3.0586 kPa. Last, round off to the appropriate number of significant figures. In this case, the answer would be 3.059 kPa
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