Homework 7-solutions - dewitt (aad777) Homework 7 sutcliffe...

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Unformatted text preview: dewitt (aad777) Homework 7 sutcliffe (52380) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points A gas has a pressure of 6 . 69501 atm when its volume is 2 . 42 L. What will the pressure be when the volume is changed to 1 . 76592 L, assuming constant temperature? Express the final pressure in torr. Correct answer: 6972 . 83 torr. Explanation: V 1 = 2 . 42 L V 2 = 1 . 76592 L P 1 = 6 . 69501 atm P 2 = ? By Boyles law, P 1 V 1 = P 2 V 2 P 2 = P 1 V 1 V 2 = (6 . 69501 atm) (2 . 42 L) 1 . 76592 L parenleftbigg 760 torr atm parenrightbigg = 6972 . 83 torr 002 10.0 points For an ideal gas, pressure has what relation- ship to volume provided only pressure and volume are allowed to change? 1. unrelated 2. inversely proportional correct 3. equal 4. proportional Explanation: Boyles law, P = k 1 V or P 1 V , relates the volume and pressure of a sample of gas at constant temperature. This relationship is an inverse proportionality. 003 10.0 points Which of the following is a true statement about a fixed amount of ideal gas at constant pressure? 1. If a sample of gas is cooled from 400 C to 200 C, the volume will decrease by a factor of two. 2. If a sample of gas is heated from 100 C to 200 C, the volume will decrease by a factor of two. 3. If a sample of gas is heated from 0 C to 273 C, the volume will double. correct Explanation: Volume is directly proportional to temper- ature expressed on the Kelvin scale. C 270 C: C + 273 = 273 K; 273 C + 273 = 546 K. The Kelvin temperature changes by a factor of 2 parenleftbigg i . e ., 546 273 parenrightbigg , so the volume would also double. 400 C 200 C: 400 C + 273 = 673 K; 200 C + 273 = 473 K. The Kelvin temperature changes by a fac- tor of 0.70 parenleftbigg i . e ., 473 546 parenrightbigg , so the volume would change by a factor of 0.70. A temperature increase from 100 C to 200 C would cause the volume to increase, not decrease, so this response must be incor- rect. 004 10.0 points A sample of a gas occupies 1070 mL at 87 . 4 C and 740 torr. What volume would it occupy at the same pressure and 163 C? Correct answer: 1294 . 5 mL. Explanation: T 1 = 87 . 4 C + 273 = 360 . 4 K V 1 = 1070 mL T 2 = 163 C + 273 = 436 K Charles law relates the volume and abso- lute (Kelvin) temperature of a sample of gas: V 1 T 1 = V 2 T 2 V 2 = V 1 T 2 T 1 = (1070 mL) (436 K) 360 . 4 K dewitt (aad777) Homework 7 sutcliffe (52380) 2 = 1294 . 5 mL 005 10.0 points A 743 mL gas sample at STP is compressed to a volume of 124 mL, and the temperature is increased to 22 C. What is the new pressure of the gas in Pa?...
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Homework 7-solutions - dewitt (aad777) Homework 7 sutcliffe...

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