Gas Laws Practice Packet Name: Block: Date: BOYLE S LAW: Use Boyles Law to answer the following questions. Show all work and include units to receive full credit. Answers are in bold. 1. What is the mathematical relationship between pressure and volume for a gas? 2. Draw and label a graph that shows the relationship between pressure and volume for a gas. 3. Exactly 10.0 L of a gas at standard temperature and pressure is compressed to 473 ml. What is the new pressure of the gas? 21.1 atm 4. Submarines need to be extremely strong to withstand the extremely high pressure of water pushing down on them. An experimental research submarine with a volume of 15,000 liters has an internal pressure of 1.2 atm. If the pressure of the ocean breaks the submarine forming a bubble with a pressure of 250 atm pushing on it, how big will that bubble be? 72 L CHARLES LAW: Use Charles Law to calculate the following. Show all work and include units to receive full credit. 5. What is the mathematical relationship between volume and temperature for a gas? 6. Draw and label a graph that shows the relationship between volume and temperature for a gas. Page 1
7. The temperature inside your refrigerator is about 4 0 Celsius. If you place a balloon in your fridge that initially has a temperature of 22 0 C and a volume of 0.5 liters, what will be the volume of the balloon when it is fully cooled by your refrigerator? 0.47 L 8. On hot days, you may have noticed that potato chip bags seem to inflate, even though they have not been opened. If you have a 250 ml bag at a temperature of 19 0 C, and you leave it in your car, which has a temperature of 60 0 C, what will the new volume of the bag be? 285 ml 9. Courtney made a thermometer, which measures temperature by the compressing and expanding of gas in a piston. She measured that at 100 0 C the volume of the piston is 20 L. What is the temperature in celsius if the piston has a volume of 5 L? The temperature is 93.25 K, which corresponds to -179.75 0 C. GAY-LUSSAC S LAW: Use Gay-Lussac s Law to calculate the following. Show all work and include units to receive full credit. 10. What is the mathematical relationship between pressure and temperature for a gas? 11. Draw and label a graph that shows the relationship between pressure and temperature for a gas. Page 2
12. Neon gas in a 2.00L cylinder is under 1.12 atm pressure. At 36.5 0 C that same gas sample has a pressure of 2.56 atm. What was the initial celsius temperature of the gas in the cylinder? -138 0 C 13. If a gas sample has a pressure of 30.7 kpa at 0.00 0 C, by how much does the temperature have to decrease to lower the pressure to 28.4 kpa? (T2 = 252.5 K)By 20.5 0 C COMBINED GAS LAW: Use the combined gas law to solve the following problems. Show all work and include units to receive full credit. 14. If I initially have a sample of nitrogen gas at a pressure of 12 atm, a volume of 23 liters, and a temperature of 200 K, and then I raise the pressure to 14 atm and increase the temperature to 300 K, what is the new volume of the nitrogen gas? 29.6 L 15. A gas takes up a volume of 17 liters, has a pressure of 2.3 atm, and a temperature of 299 K. If I raise the temperature to 350 K and lower the pressure to 1.5 atm, what is the new volume of the gas? 30.5 L 16. A gas that has a volume of 28 liters, a temperature of 45 0 C, and an unknown pressure has its volume increased to 34 liters and its temperature decreased to 35 0 C. If I measure the pressure after the change to be 2.0 atm, what was the original pressure of the gas? 2.51 atm 17. If you have 17 liters of helium gas at a temperature of 67 0 C and a pressure of 88.89 atm, what will be the pressure of the helium gas if you raise the temperature to 94 0 C and decrease the volume to 12 liters? 136 atm Page 3
IDEAL GAS LAW: Use the ideal gas law to solve the following problems. Show all work and include units to receive full credit. 18. If you have 4 moles of oxygen gas at a pressure of 5.60 atm and a volume of 12 liters, what is the Kelvin temperature? 205 K 19. Your friend gives you an unknown quantity of gas at a pressure of 1.20 atm, a volume of 31 liters, and a temperature of 87 0 C, how many moles of did your friend give you? 1.26 moles 20. You are doing an experiment and during one step you contain 3.00 moles of gas in a container with a volume of 60 liters and at a temperature of 127 0 C! Aren t you cool!?!? What is the pressure (in kpa) inside the container? 166 kpa 21. If you have 21.0 moles of argon gas held at a pressure of 780 kpa and a temperature of 900 K, what is the volume of the gas in liters? 201 L 22. If I have 1.900 moles of gas held at a pressure of 4000 mmhg and in a container with a volume of 50 liters, what is the temperature of the gas in Kelvin? 1687 K 23. If I have an unknown quantity of gas held at a temperature of 1195 K in a container with a volume of 250 ml and a pressure of 560 atm, how many moles of gas do I have? 1.43 mole Page 4
Page 5