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Pressure and Volume

Pressure and Volume. Pressure and Volume. Scientists look for patterns in nature. Pressure and Volume. Are these two values related?. Pressure and Volume. Are these two values related? P + V P – V P x V P ÷ V. Pressure and Volume. Robert Boyle (1627-1691). Pressure and Volume.

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Pressure and Volume

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  1. Pressure and Volume

  2. Pressure and Volume Scientists look for patterns in nature.

  3. Pressure and Volume Are these two values related?

  4. Pressure and Volume Are these two values related? P + V P – V P x V P ÷ V

  5. Pressure and Volume Robert Boyle (1627-1691)

  6. Pressure and Volume

  7. Pressure and Volume If you double the pressure, you cut the volume in half.

  8. Pressure and Volume Boyle’s Law: PV = K

  9. Pressure and Volume Boyle’s Law: PV = K P1V1 = P2V2

  10. Volume and Temperature

  11. Volume and Temperature What happens to the volume of a gas as it warms up or cools down?

  12. Volume and Temperature Jacques Charles (1746-1823)

  13. Volume and Temperature Are these two values related? V + T V – T V x T V ÷ T

  14. Volume and Temperature Charles’s Law: V/T = K V1/T1 = V2/T2

  15. Volume and Temperature Charles’s Law: V/T = K V1/T1 = V2/T2 (Temp must be in oKelvin)

  16. Volume and Temperature TKelvin = 273 + TCelcius

  17. Pressure and Temperature

  18. Pressure and Temperature Joseph Gay-Lussac

  19. Pressure and Temperature Gay-Lussac’s Law: P/T = K P1/T1 = P2/T2 (Temp must be in oKelvin)

  20. Example Problems All three of these laws predict changes. P1V1 = P2V2 V1/T1 = V2/T2 P1/T1 = P2/T2

  21. Example Problems You will be given three of the four values. Plug them in and solve for the fourth.

  22. Example Problems A gas sample at 40.0oC occupies a volume of 2.32 L. If the temperature is raised to 75.0oC, what will the volume be, assuming the pressure remains constant?

  23. Example Problems A gas sample at 40.0oC occupies a volume of 2.32 L. If the temperature is raised to 75.0oC, what will the volume be, assuming the pressure remains constant?

  24. Example Problems T1 = 40.0oC V1 = 2.32 L T2 = 75.0oC V2 = ?

  25. Example Problems T1 = 40.0oC V1 = 2.32 L T2 = 75.0oC V2 = ? V1/T1 = V2/T2

  26. Example Problems T1 = 40.0oC 40.0 + 273 = 313 V1 = 2.32 L T2 = 75.0oC 75.0 + 273 = 348 V2 = ? V1/T1 = V2/T2

  27. Example Problems T1 = 313oK 40.0 + 273 = 313 V1 = 2.32 L T2 = 348oK 75.0 + 273 = 348 V2 = ? V1/T1 = V2/T2

  28. Example Problems 2.32 L ? ------------ = ------------ 313oK 348oK V1/T1 = V2/T2

  29. Example Problems 2.32 L 348oK x ------------ = ? 313oK V1/T1 = V2/T2

  30. Example Problems 2.32 L 348oK x ------------ = 2.58 L 313oK V1/T1 = V2/T2

  31. Example Problems 2.32 L 348oK x ------------ = 2.58 L 313oK Does the answer make sense?

  32. Example Problems 2.32 L 348oK x ------------ = 2.58 L 313oK Does the answer make sense? A small rise in temperature caused a small increase in volume.

  33. Example Problems 2.32 L 348oK x ------------ = 2.58 L 313oK Does the answer make sense? A small rise in temperature caused a small increase in volume. Yes, it makes sense.

  34. Homework Read section 14.1 Do problems 1, 2, 6, 7, 9, 10 Your next test will involve problems like these. .

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