2. Relating Pressure & Volume

5. Boyle’s Law

6. Robert Boyle 1627 - 1691

7. Robert Boyle 1627 - 1691 Irish

8. Inverse relationship VolumePressure

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11. If Pressure of a gas is INCREASED @ constant Temperature, Then the Volume of the gas DECREASES Boyle’s Law

12. If Temperature is constant then the initial product of pressure and volume will = the final product of pressure and volume!

13. Meaning….

14. P1V1P1V1 = P2V2P2V2

15. 101.3 kPa 202.6 kPa V= 2 L V= 1 L InitialFinal =

16. Units?? 101.3 kPa 1 atm 760 mmHg Pressure Volume Liters ml

17. It doesn’t matter which of those units are used as long as they are the same on both sides!!

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20. Practice Problem

21. A balloon has an initial pressure of 1520 mmHg and a volume of 22.4 Liters. After Dallin lets go of the balloon it raises to an altitude where the pressure is 1 atm. What is the new volume of the balloon?

22. P1V1P1V1 = P2V2P2V2 1520 mmHg 22.4 L = xx V2V2 1 atm Pressure units are different One must be converted!

23. P1V1P1V1 = P2V2P2V2 1520 mmHg 22.4 L = xx V2V2 1 atm 1520 mmHg 1 atm 760 mmHG = 2 atm

24. P1V1P1V1 = P2V2P2V2 22.4 L = xx V2V2 1 atm2 atm 1 atm V2V2 = 44.8 L

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27. Charles’ Law Relating Volume & Temperature

28. Jacques Charles 1746-1823 French

29. Charles’ Law Volume of a gas is INCREASED @ constant Pressure, Temperature is INCREASED

30. Direct relationship Temp.Volume

31. V1T1V1T1 = V2T2V2T2

32. Units?? Liter ml Volume Temperature Kelvin C o

33. It doesn’t matter which of those units are used as long as they are the same on both sides!!

34. Practice Problem

35. A balloon has an initial volume of 2 L and a temp. of 273 Kelvin. After Dallin lets go of the balloon it sits next to a light and the temp raises to 400 Kelvin.What is the new volume of the balloon?

37. Gay-Lusac’s Law Relating Pressure & Temperature

38. Pressure of a gas is INCREASED @ constant Volume, Temperature is INCREASED Gay-Lusac’s Law

39. Direct relationship Temp.Pressure

40. P1T1P1T1 = P2T2P2T2

41. Units?? kPa atm mmHg Pressure Temperature Kelvin C o

42. It doesn’t matter which of those units are used as long as they are the same on both sides!!

43. If nothing is constant combine all three laws to form the combined gas law.

44. P1V1T1P1V1T1 = P2V2T2P2V2T2

45. OR

46. P1V1T2P1V1T2 = P2V2T1P2V2T1