Gas Law Problems

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Worksheet Gas Laws Chapter 6 Boyles Law (6.3) P1V1 = P2V2 Charles Law (6.4) V1 = V2 T1 T2 Guy-Lussac’s Law (6.5) P1 = P2 T1 T2 Combined Gas Law (6.6) P1V1 = P2V2 T1 T2 Avogadros Law and STP (6.7) Standard T = 0 oC & Standard P =1 atm V1 = V2 Molar volume: 1 mole = 22.4 L at STP n1 n2 22.4 L = V2 1 mol n2 Dalton Law of Partial Pressure (6.8) P1 + P2 +…..Pn = Ptotal Notes: 1. Temperatures must be in K, where K = C + 273 2. Pressures and volumes must be in consistent units. Boyle’s Law (6.3) 1. A gas has a volume of 300 mL at 300 mm Hg. What will its volume be if the pressure is changed to 500 mm Hg? (180 mL) 2. A gas has a volume of 460 mL at 500 mm Hg. What will be the volume at 1.2 atm? (252.2 mL) 3. A gas has a volume of 5 liters at 3 atm. To expand the volume to 7500 ml, what the new pressure ( in atm ) have to be? (2 atm) Charles’ Law (6.4) 4. A gas has a volume of 4 liters at 50 oC. What will its volume be (in liters) at 100oC? (4.6 L) 5. A gas has a volume of 350 ml at 45oC. If the volume changes to 400 ml, what is the new temperature? ( answer in oC ) (90.4 oC) Guy-Lussac’s Law (6.5) 6. The gases in a hair spray can are at a temperature of 27oC and a pressure of 30 lbs/in2. If the gases in the can reach a pressure of 90 lbs/in2, the can will explode. To what temperature must the gases be raised in order for the can to explode? Assume constant volume. (630 oC) 7. Maybelline Cousteau’s backup oxygen tank reads 900 mmHg while on her boat, where the temperature is 27oC. When she dives down to the bottom of an unexplored methane lake on a recently-discovered moon of Neptune, the temperature will drop down to –183oC. What will the pressure in her

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