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Thermal Physics. Thermometric property - a characteristic of an object that varies with temperature. Heat versus Temperature. Temperature: average kinetic energy of each particle in a substance degree of hotness or coldness indicates direction of heat flow. Heat versus Temperature.
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Thermal Physics Thermometric property - a characteristic of an object that varies with temperature
Heat versus Temperature • Temperature: average kinetic energy of each particle in a substance • degree of hotness or coldness • indicates direction of heat flow
Heat versus Temperature • Heat - total thermal energy (internal energy) absorbed or transferred • Internal energy - KE and PE • PE due to bond energy (chemical energy stored in bonds) and electromagnetic forces between particles • Example: bucket vs thimble of water at 100°C
Measurement of Temperature • Alcohol vs. mercury thermometers • Alcohol - used at lower temperatures • Alcohol freezes at -114°C and boils at 78.5°C • Mercury - used at higher temperatures • Mercury freezes at -39°C and boils at 357°C(675F)
Constructing Thermometers • Bulb - thin glass for quick heat transfer • Clinical thermometer - restriction prevents backflow • Vacuum above liquid • Calibrated using two fixed points (0C and 100C), mark scale evenly
Thermometers-constructed using thermometric properties • Expansion of liquid in capillary tube • Resistance in wire (thermistor) • Different rates of expansion of metals (bimetallic strips) • Volume of gas at constant pressure (gas expansion rate is linear) • Color change of solid when heated(pyrometers
Conversions • K = °C + 273 • °F = 9/5 °C + 32 • Absolute zero - no motion of particles in substance at 0 K • Water freezing point 32°F, 0°C, 273 K • Water boiling point 212°F, 100°C, 373 K • Room temperature 20°C
Relating temperature to velocity of particles • Kinetic energy = 1/2 mv2 • Kinetic energy = 3/2 kT • k = Boltzmann constant 1.38 x 10-23 J/K • T = Temperature in Kelvin • m = mass in kilograms • v = root mean square velocity (rms)
rms velocity • Number of particles at different speeds is not a normal distribution - some particles move VERY fast • Peak velocity is most probable velocity • Vrms = (vav2)1/2
Heat Transfer - Conduction • Occurs in solids, liquids, gases • Temperature difference causes transfer of thermal energy from hot to cold by particle collision without net movement of substance
Heat Transfer - Convection • Occurs in fluids (liquids and gases) • Temperature difference causes mass movement of fluid particles - density differences • Convection cells (convection currents)
Heat Transfer - Radiation • No medium required • Heat travels as electromagnetic waves • Most reflected at atmosphere, some is absorbed
Heat Capacity • Objects with a high heat capacity take in heat at a slower rate - heat slowly, and also cool slowly • Heat capacity Q/T units are JK-1 • Specific heat capacity - heat capacity per unit mass - heat required to raise the temperature of 1 kg by one Kelvin • Variable for specific heat….c
Heat Equation • Heat required to produce a temperature change • Q = mcT • Can heat a substance using electrical energy • Electrical energy = VIt = mcT
Mixtures • Heat lost by one substance equals heat gained by the other substance - total heat gained or lost by the system is 0 • Calorimeter - allows minimal energy loss to surroundings
Example #1 • Mix 100 grams of water at 20°C and 200 grams of water at 40°C. Find the final temperature of the water.
Solution: • Heat lost by one sample plus heat gained by other sample equals 0
Example #2 • A 100 gram block of Ag at 100°C is placed in 100 grams of water at room temperature. Find the final temperature.
Solution: • Heat lost by silver plus heat gained by water equals 0
Kinetic Theory • All matter is composed of extremely small particles • All particles are in constant motion • If particles collide with other particles, KE is conserved • A mutually attractive force exists between particles
Matter • Matter - has mass and occupies space • Four phases - solid, liquid, gas, plasma • Plasma - made by heating gas atoms until they ionize - separate into positively and negatively charged particles - sun, other stars composed of plasma
Latent Heat • Latent heat of transformation: heat required to change 1kg of a substance from one phase to another • Equation: Q = mL • No temperature change during a phase change - heat is used to change PE - heat needed to break bonds, heat released when bonds are formed
Latent Heat • Latent heat of fusion: solid to liquid (heat is absorbed) or liquid to solid (heat is released) • Latent heat of vaporization: liquid to gas (heat is absorbed) or gas to liquid (heat is released) • Heating curves:
Example #1 • Find the heat required to melt 10 kg of gold. (latent heat of fusion = 6.3 x 104 JKg-1)
Example #2 • Find the heat required to vaporize 100 grams of lead (latent heat of vaporization = 2.04 x 104 JKg-1)
Example #3 • Find the heat required to change 2 kg of ice at -10°C to steam at 120°C • Specific heat of ice 2060 Jkg-1K-1 • Latent heat of fusion 3.34 x 105 Jkg-1 • Specific heat of water 4180 Jkg-1K-1 • Latent heat of vaporization 2.26 x 106 Jkg-1 • Specific heat of steam 2020 Jkg-1K-1
Solution: • Heat ice from -10°C to 0°C • Melt ice • Heat water from 0°C to 100°C • Evaporation of water • Heat vapor from 100°C to 120°C
Example #4 • Heat is added to a mass of 5 kg at room temperature (20°C) at a rate of 500 watts for 1 minute until the substance begins to melt at 300°C. The substance takes 3 minutes to melt. • A. Sketch a graph of temperature vs. time • B. Find the specific heat of the solid • C. Find the latent heat of fusion
Solution-Part A. 300°C 20°C 1 4 Times and temperatures on graph?
B. C.
Evaporation Evaporation takes place at all temperatures and results in the cooling of a liquid
Evaporation • Change from liquid state to gaseous state, occurs at a temperature below boiling point • Particles near surface have enough KE to overcome attractive forces of nearby particles, lowers KE of substance