Physics 101: Lecture 23, Pg 1 Physics 101: Lecture 23 Heat Final

Physics 101: Lecture 23, Pg 2Heat l Definition: Flow of energy between two objects due to difference in temperature è Note: similar to WORK è Object does not “have” heat (it has energy: temp) l Units: Joule è 4186 Joules = 1 Calorie = 1000 calories = è calorie: Amount of heat needed to raise 1g of water 1ºC 10

Physics 101: Lecture 23, Pg 3 Example: Sears Tower l You decide to take the stairs to the top of the Sears tower (442m). If you have a weight of 670N and your body was 100% efficient in converting food into mechanical energy. How many Calories would you need to eat to replenish your body Whopper with Cheese: 696 Cal Big Mac with Cheese: 560 Cal

Physics 101: Lecture 23, Pg 4 Specific Heat l Heat adds energy to object/system l IF system does NO work then:  Heat increases internal energy. Q =  U è Heat increases temperature! Q = c m  T è Heat required to increase Temp depends on amount of material (m) and type of material (c) l Q = cm  T : “Cause” = “inertia” x “effect” (just like F=ma) è cause = Q è effect =  T è inertia = cm (mass x specific heat capacity) l  T = Q/cm (just like a = F/m) 15

Physics 101: Lecture 23, Pg 5 Question l After a grueling work out, you drink a liter of cold water (0 C). How many Calories does it take for your body to raise the water up to body temperature of 36 C? 1) 36 2) 360 3) 3,600 4) 36,000 1 liter = 1,000 grams of H g x 1 calorie/(gram degree) x (36 degree) = 36,000 calories 36,000 calories = 36 Calories! 18

Physics 101: Lecture 23, Pg 6 Question Suppose you have two insulated buckets containing the same amount of water at room temperature. You also happen to have two blocks of metal of the same mass, both at the same temperature, warmer than the water in the buckets. One block is made of aluminum and one is made of copper. You put the aluminum block into one bucket of water, and the copper block into the other. After waiting a while you measure the temperature of the water in both buckets. Which is warmer? 1. The water in the bucket containing the aluminum block 2. The water in the bucket containing the copper block 3. The water in both buckets will be at the same temperature Since aluminum has a higher specific heat than copper, you are adding more heat to the water when you dump the aluminum in the bucket (q=mc  T). 20 Substance c in J/(kg-C) aluminum900 copper387

Physics 101: Lecture 23, Pg 7 Specific Heat Question Suppose you have equal masses of aluminum and copper at the same initial temperature. You add 1000 J of heat to each of them. Which one ends up at the higher final temperature A) aluminum B) copper C) the same  T = Q/cm 23 Substance c in J/(kg-C) aluminum900 copper387 iron452 lead128 human body 3500 water 4186 ice 2000

Physics 101: Lecture 23, Pg 8 Latent Heat L l As you add heat to water, the temperature increases for a while, then it remains constant, despite the additional heat! l Latent Heat L [J/kg] is heat which must be added (or removed) for material to change phase (liquid- gas). 28 T Q added to water water temp rises water changes to steam (boils) steam temp rises 100 o C Latent Heat Substance L f (J/kg) L v (J/kg) water33.5 x x 10 5

Physics 101: Lecture 23, Pg 9 Ice Question l Which will do a better job cooling your soda, a “cooler” filled with water at 0C, or a cooler filled with ice at 0 C. A) WaterB) About SameC) Ice T Q added to water ice temp rises ice changes to water (melts) water temp rises 0 o C Latent Heat Substance L f (J/kg) L v (J/kg) water33.5 x x 10 5 Latent Heat L [J/kg] is heat which must be added (or removed) for material to change phase (liquid- gas). 30

Physics 101: Lecture 23, Pg 10 Example: sweat l During a tough work out, your body sweats (and evaporates) 1 liter of water to keep cool (37 C). How much water would you need to drink (at 2C) to achieve the same thermal cooling? (recall C V = 4.2 J/g for water, L v =2.2x10 3 J/g) 33

Physics 101: Lecture 23, Pg 11 Question Summers in Phoenix Arizona are very hot (125 F is not uncommon), and very dry. If you hop into an outdoor swimming pool on a summer day in Phoenix, you will probably find that the water is too warm to be very refreshing. However, when you get out of the pool and let the sun dry you off, you find that you are quite cold for a few minutes (yes...you will have goose-bumps on a day when the air temperature is over 120 degrees). How can you explain this? 35

Physics 101: Lecture 23, Pg 12 Example: ice and water l How much ice (at 0 C) do you need to add to 0.5 liters of a water at 25 C, to cool it down to 10 C? (L = 80 cal/g, c = 1 cal/g C, c ice = 0.5 cal/g C)

Physics 101: Lecture 23, Pg 13 Example: ice and water 2 l 0.8kg of ice (at -10 o C) is added to 1.4kg of water at 20 o C, How much of the ice will melt? (L f = 33.5x10 4 J/kg, c water = 4186 J/kg C, c ice = 2000 J/kg C)

Physics 101: Lecture 23, Pg 14 Summary l Heat is FLOW of energy è Flow of energy may increase temperature l Specific Heat   t = Q / (c m) è Monatomic IDEAL Gas C V = 3/2 R è Diatomic IDEAL Gas C V = 5/2 R l Latent Heat è heat associated with change in phase