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Formula: P 1 = P 2 T 1 T 2

DO NOW: Sketch a graph of temperature vs. volume of a gas at constant pressure. Sketch a graph of pressure vs. volume of a gas at constant temperature. Aim: How are pressure and temperature of a gas related? How are volume and number of moles of a gas related?.

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Formula: P 1 = P 2 T 1 T 2

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  1. DO NOW: Sketch a graph of temperature vs. volume of a gas at constant pressure.Sketch a graph of pressure vs. volume of a gas at constant temperature.

  2. Aim: How are pressure and temperature of a gas related? How are volume and number of moles of a gas related?

  3. Gay-Lussac’s Law—pressure and temperature of a gas are directly proportional when volume and number of moles are held constant • Formula: P1 = P2 T1 T2

  4. The pressure exerted by a gas in an immovable piston at 273K is 99.7 kPa. What will be the pressure of this gas when the temperature is decreased to 200. K?

  5. P1 = P2 T1 T2 P1=99.7 kPa T1=273 K P2=? T2=200. K 99.7 kPa = P2 273 K 200. K P2=73.0 kPa

  6. The pressure exerted by a gas is 9.4 atm. After the temperature is increased to 77C, the pressure of the gas is 15.2 atm. What is the initial temperature of this system?

  7. P1 = P2 T1 T2 P1=9.4 atm T1=? P2=15.2 atm T2=350. K 9.4 atm = 15.2 atm T1 350. K T1=220 K

  8. Avogadro’s Law—equal volumes of all gases under the same conditions of temperature and pressure have equal number of molecules. • Formula: V1 = V2 n1 n2

  9. Don’t Forget… • 1 mol of a gas at STP occupies 22.4 L. • STP = 273 K, 1 atm

  10. A sample of Ar occupies 67.2 L at STP. How many moles of the gas are present? • V1 = V2 n1 n2 V1=22.4 L n1=1 mol V2=67.2 L n2=? n2=3 mol

  11. If 2.55 mol of He gas occupies a volume of 59.5 L at a particular temperature and pressure, what volume does 7.83 mol of He occupy under the same conditions?

  12. V1 = V2 n1 n2 V1=59.5 L n1=2.55 mol V2=? n2=7.83 mol 59.5 L = V2 2.55 mol 7.83 mol V2=183 L

  13. Equal volumes of SO2 (g) and O2 (g) at STP contain the same number of 1. atoms 2. molecules 3. electrons 4. protons

  14. A sample of oxygen gas is sealed in container X. A sample of hydrogen gas is sealed in container Z. Both samples have the same volume, temperature, and pressure. Which statement is true? 1. Container X contains more gas molecules than container Z. 2. Container X contains fewer gas molecules than container Z. 3. Containers X and Z both contain the same number of gas molecules. 4. Containers X and Z both contain the same mass of gas.

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