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Chapter 14--Heat. Sections 1-9. 14.1 Heat as Energy Transfer. Two objects at different temperatures transfer heat; hot cold heat flow spontaneously from hot to cold. 14.1 Heat as Energy Transfer. calorie (c or cal)--amount of heat necessary to raise the temperature of 1-g of water 1 C
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Chapter 14--Heat Sections 1-9
14.1 Heat as Energy Transfer • Two objects at different temperatures transfer heat; hotcold • heat flow spontaneously from hot to cold
14.1 Heat as Energy Transfer calorie(c or cal)--amount of heat necessary to raise the temperature of 1-g of water 1C Calorie (C) or kilocalorie (kcal)--1000 calories; dietary calorie BTU (British thermal unit)--heat needed to raise 1 lb. of water 1 F • 0.252 kcal = 1 BTU = 1055 J
14.1 Heat as Energy Transfer Mechanical equivalent of heat • James Joule conducted experiments to show that work is done by heat transfer (& vise versa) • 4.186 J = 1 cal • joule =SI energy unit
14.1 Heat as Energy Transfer Heat • energy that is transferred from one body to another due to a difference in temperature
14.2 Distinction Between Temperature, Heat and Internal Energy Thermal energy (internal energy) • sum of all the energy of all the molecules in an object • units = joules • total energy of all the molecules in an object
14.2 Distinction Between Temperature, Heat and Internal Energy Temperature • measure of the average kinetic energy of individual molecules • units = kelvin
14.2 Distinction Between Temperature, Heat and Internal Energy Heat • transfer of energy (such as thermal energy) from one object to another due to a temperature difference
14.2 Distinction Between Temperature, Heat and Internal Energy • If 50-g of water at 30C is mixed with 200-g of water at 25C heat will flow from water at 30C to water at 25C even though there is more internal energy in 200-g of water (25C ) than in 50-g water (30C)
14-3 Internal Energy of an Ideal Gas Internal energy of an ideal monatomic gas • U = N(1/2mv2) = 3/2NkT = 3/2 nRT • where: • U = internal energy (J) • N = # of atoms • m = mass of atom • v = average speed • n = number of moles • T = temperature (K) • k = 1.38 x10-23 J/K (Boltzmann constant) • R = 8.315 J/molK or 0.0821 L atm/mol K
14-3 Internal Energy of an Ideal Gas • Internal energy of an ideal gas T and n • if the gas is polyatomic then rotational and vibrational energy (?) of the molecules must be taken into account (U will be greater than it is for monatomic gases but still T)
When Heat is added to a substance it either: • Increases its temperature • Energy goes into increasing Kinetic Energy—causes particles to move faster Or • Changes its phase • Energy goes into increasing Potential Energy—causes particles to become further apart (overcome intermolecular forces)
14.4 Specific Heat Q = mcT where: • Q = heat lost/gained • m = mass of substance (kg) • T = change in temperature (T2- T1) • c = specific heat • ***this heat added causes a change in temperature***
14.4 Specific Heat Specific Heat • characteristic of material (changes slightly with temperature) • water: 1kcal/kgoC or 4186 J/kg oC (20oC) • ice: 2100 J/kg oC (-5oC) • steam: 2010 J/kg oC (110oC)
14.4 Specific Heat When: • Q = -; T = -; heat is transferred out of substance • Q = +; T = +; heat is transferred into of substance
14.5 Calorimetry • In an isolated system energy is conserved • If heat is lost by one • component of the system it is gained by another component of the system. • -(Q+) = +(Q-) • maca(T2-T1) = - mbcb(T1-T2)
14.5 Calorimetry Calorimetry • Technique used to quantitatively measure heat exchange Calorimeter • Device used to quantitatively measure heat exchange within a system • Used to find specific heat of an unknown substance • Well insulated so no heat exchange with environment
14.5 Calorimetry If 200 mL of tea at 95oC is poured into a 150 g cup at 25oC what will be the final temperature of the tea? (cwater = 4186 J/kgoC cglass = 840 J/kgoC )
14.5 Calorimetry • Answer: 85.8oC
14.6 Latent Heat Latent Heat • Heat required to change the phase of a substance • solid liquid, liquid gas • Units: kJ/kg, J/kg, J/g, Kcal/kg
14.6 Latent Heat Latent Heat Two types: • Heat of fusion—heat required to melt 1kg of a substance • Lf H2O = 333 kJ/kg • Heat of vaporization—heat required to vaporize 1 kg of a substance • Lv H2O =2260 kJ/kg
14.6 Latent Heat Heating Curve • A graph of Temperature vs. Heat added • Shows what happens as heat is added to a sample of substance
14.6 Latent Heat Heating Curve: Water • What happens in each part? • What equation do we use to find heat? T Q
14.6 Latent Heat How much heat is needed to change the temperature of 1,350 mL of water from –17°C to 145°C?
0 14.6 Latent Heat Answer: 4.24 x 106 J
0 There are three ways heat can move from one place to another: • Conduction • Convection • Radiation
0 14.7 Conduction Conduction • Heat moves in an object without the net movement of its particles. • Results of molecular collisions • Hot molecules collide with cold molecules and ???? • Only occurs when there is a temperature difference • Rate of flow temperature difference, area in contact , 1/length(of motion)
0 14.7 Conduction Conductors • Substances where heat moves quickly Insulators • Substance when heat moves slowly
0 14.7 Conduction At room temperature why does a carpet feel warmer than a tile floor? Why are storm doors so good at insulating if glass is a good conductor of heat? Why do you layer clothes to keep warm? Building materials: R-Value—rates how resistant a material is to the flow of heat. • R = l/k
0 14.8 Convection Convection • Heat is transferred by the mass movement of molecules from one place to another • Forced vs Natural convection • Convection Currents
0 14.8 Convection Convection • In the human body 20% of food energy is used to do work, 80% goes into heat • If this heat was not dissipated body temperature would increase by 3°C per hour • Blood moves heat by convection to beneath skin and it is conducted to the surface
0 14.9 Radiation Radiation • Transfer of heat without a medium • Most heat from fire comes by way of radiation • Infrared Radiation form the Sun is responsible for heating the Earth
0 14.9 Radiation Stefan-Boltzmann equation • Shows the rate at which an object radiates energy • Q/t = eAT4 where: • = Stefan-Boltzmann constant (5.67 x 10-8 W/m2•K4) • e = emissivity; number between 0 &1 that shows how well an object absorbs (emits) radiation (1 = pure black)
0 14.9 Radiation Stefan-Boltzmann equation • So rate of emission of radiation (Q/t) is proportional to Temperature4!
0 14.9 Radiation Radiation from the Sun strikes the Earth at 1350 J per second per square meter or 1350 W/m2 (solar constant) • During cloudy conditions about 70% reaches ground when clear 1000W/m2