2. Pressure Conversions (Add to your Conversion Sheet
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1 The Gas Law Reference Sheet 1. The Kelvin Temperature Scale Degrees Kelvin = C Convert to K 1) 27 C 2) 0. C 3) 48 C 4) 16 C 5) 106 C 2. Pressure Conversions (Add to your Conversion Sheet 1 mm Hg = 1 torr 13.6 mm H 2 O = 1 mm Hg 760 mm Hg = 1 atm 13.6 mm H 2 O = 1 torr 760 torr = 1 atm mm H 2 O = 1 atm Convert using Fence-Posting 1) 860. mm H 2 0 to mm Hg 2) 965 mm H 2 0 to torr 3) 350. mm Hg to atm 4) 900. torr to atm 5) 3.2 atm to torr DIRECTIONS: For each of the following problems: (1) Write down the correct gas law formula, (2) Substitute the numbers and units into the equation, (3) Write down your answer with units: Boyle s Law Problems ml of a gas was collected at 747 mm Hg. What volume would the gas occupy at 820. mm Hg?
2 2. A gas has some volume when the pressure is 550. torr. When the pressure changes to 860. torr the volume changes to 6.35 liters. What was the original volume of the gas in liters? 3. A gas has a volume of 20.0 ml when the pressure is 600. torr. When the pressure is changed, the volume changes to 35.0 ml. What is the new pressure? 4. When the pressure is 2.60 atm, the volume of a gas is 67.0 cm 3. What would the volume be in atm if the pressure dropped to 1.80 atm? 5. At STP, the volume of a gas is ml. What does the volume become in ml if the pressure changes to 900. mm Hg? Charles Law Problems 1. A gas has a volume of 630. ml when the temperature is 60 C. What volume will it have if the temperature changes to 30 C? 2. At STP a gas has a volume of 2.20 liters when the temperature is 40.0 C. What would the volume be if the temperature changes to 72 C? 3. If a gas at 70.0 C had a volume of 650. cm 3 ; what would the temperature in Celsius have to change to in order for the volume to change to 500. cm 3? 4. At 50.0 C a gas has a volume of 65.0 liters. The temperature changes to 95.0 C; what does the volume become in milliliters? ml of a gas fills a balloon at STP. What should the volume be if the temperature changes to 120. C?
3 Gas Law Problems 1. A gas with a volume of 85.0 ml at 750. torr would have what volume at 425 torr? 2. At 350. torr a gas has a volume of 250. ml. What would its volume be at 630. torr? 3. A sample of hydrogen gas has a volume of 650. ml when the temperature is 35.0 C. What would the volume of the gas be at 790 torr if the temperature doesn t change. The original pressure was 900 torr. 4. The volume of a sample of carbon dioxide gas is 6.2 liters when the pressure is 700. torr. If the gas volume expands to 7.80 liters, what must the new pressure be? 5. At a pressure of 1.38 atm, a gas sample has a volume of 38.0 cm 3 cubed. What would its volume be at 2.00 atm? 6. If a gas has a volume of 5.00 liters at standard pressure, what would its volume be at 2.65 atm? 7. At 675 mm Hg pressure a bag of neon has a volume of 860. ml. What pressure would allow the gas volume to change to ml? ml of argon gas exists at 35.0 C and 350. torr. If pressure changes to 500. torr and temperature is constant. What would the new volume be? 9. A gas sample of 200. ml will change to what volume if pressure changes from 780. torr to 426 torr?
4 10. How many cm 3 of space will a gas occupy at 820. torr if it had a volume of 3.20 liters at 700. torr? ml of a gas was collected at 10. C. What volume could be collected at 30. C? 12. At a temperature of 16 C, 30.0 ml of a gas were collected. What temperature would produce 45.0 ml of gas? ml of a gas were collected at 0. C. What volume could be collected at 20. C. 14. A gas occupies a volume of ml at a temperature of 100. C. To what temperature must the gas be lowered to occupy ml? 15. If ml of hydrogen are collected when the temperature is 27 C. What volume will the gas occupy at 23 C? 16. To what Celsius temperature must ml of oxygen at 17 C be raised to increase its volume to ml? 17. The volume of neon is 1164 ml at 18 C. What is its volume at standard temperature? 18. At 80. C, a gas occupies a volume of 6.82 ml. What will be the volume of this gas at 27 C?
5 19. The volume of a gas is 746 ml at 15 C. What is its volume at 28 C? ml of a gas were collected at 30. C. What volume will this gas occupy at 150. C? Combined Gas Laws Problems 1. A sample of oxygen gas has a volume of 250. ml at STP. What would the new volume of the gas be at 30. C and 860. torr? 2. At 45 C and 4.3 atm a gas has a volume of 2.00 liters. What would its volume be at 32 C and 1.9 atm? 3. A gas has a volume of 90.0 cm 3 when the temperature is 10. C and the pressure 423 mm Hg. What would its volume be at STP? 4. At 5.00 C and 50.0 torr a gas has a volume of 1.35 liters. How many milliliters will the gas occupy at 75.0 C and 560. torr? ml of gas fill a balloon at STP. What volume will the balloon have at 12 C and 529 mm Hg? 6. Convert to standard conditions: 2280 ml of gas measured at 30. C and 808 mm Hg. 7. Convert to standard conditions: ml of gas at 23 C and 700. torr pressure.
6 8. A gas collected when the temperature is 27 C and the pressure is 80.0 cm Hg measures 500. ml. Calculate the volume in ml at 3 C and 75.0 cm Hg ml of gas measured at 17 C and 380. mm Hg. What volume, in ml, will the gas occupy at 307 C and 500. mm Hg? 10. Given 700. ml of oxygen at 7 C and 85.0 cm Hg, what volume does it have at 27 C and 60.0 cm Hg? 11. A gas was collected at 758 torr and 18 C. What temperature would the gas have at standard pressure if the volume stayed constant? ml of a gas were collected at 700. torr and 25 C. What would be the pressure if 60. ml of the gas were collected at 20. C? 13. If 200. cm 3 of a gas is collected at 2.00 atm and 30. C, what would be the volume, in cm 3, at standard conditions? ml of a gas are collected at 500. torr at 0. C. At what temperature will this gas occupy 600. ml at 0 C? liters of a gas are collected at 760. mm Hg at 24 C. What volume, in ml, will this gas occupy at 780. mm Hg and 30. C?
7 The Gas Laws 1. A sample of gas has a volume of 400. ml at 760. torr. What volume will it occupy at 195 torr? 2. The volume of a gas is 400. ml at 380. torr. What volume will it occupy at 2.00 atmospheres? 3. A gas has a volume of 200. ml at 750. torr pressure. What will the pressure have to change to in order to allow the gas to expand to a volume of 600. ml? 4. The volume of a gas is 10.0 liters at 10.0 atmospheres. Calculate the pressure of the gas if its volume is changed to ml. 5. A sample of gas occupies 200. ml at 10. C. What volume will the gas have at 20. C? 6. A gas occupies a volume of 100. ml at 27 C. What volume will the gas have at 5 C? 7. A gas has a volume of 650. ml at 30. C. If its volume expands to 930. ml, what must the temperature have changed to in C? 8. A gas having a volume of 532 ml at 65 C is reduced in volume to 200. ml. What is the new temperature in C? 9. A gas has a volume of 485 ml when the temperature is 40. C and the pressure is 500. torr. What volume would this gas occupy at STP?
8 10. At 50. C a gas has a volume of 600. ml when the pressure is 980. mm Hg. What would the volume of this gas be if the temperature changes to 70. C and the pressure drops to 600. mm Hg? 11. A gas has a volume of 789 ml at STP. What volume would it occupy if the temperature changed to 80. C and the pressure changed to 2.3 atm? 12. A gas has a volume of 450. liters when the pressure is 3.2 atm and the temperature is 60.0 C. If its volume changes to 300. liters when the temperature changes to 50.0 C, what must the new pressure be in atmospheres? 13. If the volume of a gas changes from 5.00 liters to 3.40 liters when the pressure changes from 600. mm Hg to 450. mm Hg. What must the temperature have changed to if it was original 50 C? Ideal Gas laws Problems (Use PV=NRT) 1. If 487 ml of a gas measured at 30. C and 600. torr has a mass of 0.384g, what is its molecular mass? 2. A volume of L of a gas measures at 50. C and 700. torr has a mass of 0.535g. Calculate its molecular mass. 3. Calculate the density of carbon dioxide in grams per liter at 30. C and 3.00 atmospheres. 4. The density of nitrogen is 1.25 g/l at STP. Find the mass of exactly 1.00 liter of oxygen at a temperature of 39 C, if the pressure remains unchanged. 5. What is the mass in grams of 250. ml of CO at STP?
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