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Combined Gas Laws

# Combined Gas Laws - Chapter 7 Gases The Combined Gas Law...

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LecturePLUS Timberlake1 Chapter 7 Gases The Combined Gas Law Volume and Moles (Avogadro’s Law) Partial Pressures

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LecturePLUS Timberlake2 Combined Gas Law P 1 V 1 = P 2 V 2 T 1 T 2 Rearrange the combined gas law to solve for V 2 P 1 V 1 T 2 = P 2 V 2 T 1 V 2 = P 1 V 1 T 2 P 2 T 1
LecturePLUS Timberlake3 Combined Gas Law P 1 V 1 = P 2 V 2 T 1 T 2 Isolate V 2 P 1 V 1 T 2 = P 2 V 2 T 1 V 2 = P 1 V 1 T 2 P 2 T 1

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LecturePLUS Timberlake4 Learning Check C1 Solve the combined gas laws for T 2 .
LecturePLUS Timberlake5 Solution C1 Solve the combined gas law for T 2 . (Hint: cross-multiply first.) P 1 V 1 = P 2 V 2 T 1 T 2 P 1 V 1 T 2 = P 2 V 2 T 1 T 2 = P 2 V 2 T 1 P 1 V 1

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LecturePLUS Timberlake6 Combined Gas Law Problem A sample of helium gas has a volume of 0.180 L, a pressure of 0.800 atm and a temperature of 29°C. What is the new temperature(°C) of the gas at a volume of 90.0 mL and a pressure of 3.20 atm?
LecturePLUS Timberlake7 Data Table Set up Data Table P 1 = 0.800 atm V 1 = 0.180 L T 1 = 302 K P 2 = 3.20 atm V 2 = 90.0 mL T 2 = ?? ??

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LecturePLUS Timberlake8 Solution Solve for T 2 Enter data T 2 = 302 K x atm x mL = K atm mL T 2 = K - 273 = °C
LecturePLUS Timberlake9 Calculation Solve for T 2 T 2 = 302 K x 3.20 atm x 90.0 mL = 604 K 0.800 atm 180.0 mL T 2 = 604 K - 273 = 331 °C

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LecturePLUS Timberlake10 Learning Check C2 A gas has a volume of 675 mL at 35°C and 0.850 atm pressure. What is the temperature in °C when the gas has a volume of 0.315 L and a pressure of 802 mm Hg?
LecturePLUS Timberlake11

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