13 Temperature and Ideal Gases

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Presentation transcript:

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

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

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. /

Ideal Gas

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

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.

Linear Thermal Expansion DL = a Lo DT Example: 100C increase in Aluminum causes a fractional increase in length of 0.0024 = 0.24% change.

Bi-Metallic Strips

Summary Thermal Equilibrium Temperature Scales Ideal Gases Thermal Expansion

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

Superheating Mythbusters 12 12

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

Ideal gas pressure

Ideal Gas Law