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13 Temperature and Ideal Gases

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1 13 Temperature and Ideal Gases
Homework: Problems: 1, 7, 41. Thermal Equilibrium Temperature Scales Ideal Gases Thermal Expansion

2 Temperature T ~ avg. KE/molecule Thermal Expansion Scales: Kelvin, K
C° = K – 273 F° = (9/5)C° + 32 2 2

3 Thermal Equilibrium Heat flows from hotter object to cooler object.
When the heat flow ceases the objects are in thermal equilibrium. Objects in thermal equilibrium are at the same temperature. /

4 Ideal Gas

5 Gas Thermometer PV ~ NT P ~ T (V, N constant) Gas cools, avg. KE  0,
(absolute zero), P  0, ≈ -273 °C

6 Constant Pressure What % increase in V occurs for an ideal gas heated from 20C to 40C? (V ~ T) (It does not double, b/c C is not a thermodynamic temperature scale) V2/V1 = T2/T1 = (273+40)/(273+20) = 1.068 6.8% increase in volume.

7 Linear Thermal Expansion
DL = a Lo DT Example: 100C increase in Aluminum causes a fractional increase in length of = 0.24% change.

8 Bi-Metallic Strips

9 Summary Thermal Equilibrium Temperature Scales Ideal Gases
Thermal Expansion

10 Water Expansion Expansion from 4°C to 100°C (normal)
Contraction from 0°C to 4°C. (anomalous, transient ice melting) 10 10 10 10

11 11 11 11 11

12 Superheating Mythbusters 12 12

13 Ideal Gases N molecules (few intermolecular collisions)
v = average speed P due to wall-collisions (P ~ Nv/t) t = time between same-wall collision

14 Ideal gas pressure

15 Ideal Gas Law


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