(3) A 50 g piece of metal at 950is dropped into 250 g of water at l 7 C and as a

Question

(3) A 50 g piece of metal at 950is dropped into 250 g of water at l 7 C and as a result cools to 194'C. what is the specific heat of the metal ? (4) An 80 kg person (37?) is inmersed in a tub containing 120 liters (about 30 gallons) of 28-C water. What is the temperature established at thermal equilibrium ? Note:lt 1000 m; ml of water has a mass of 1 gram. Also assume that the person produces no additional internal body heat- very unrealistic, of course. Comprehension Questions: A. Suppose you apply a flame and add a certain amount of heat to one liter of water, and its temperature rises by 2'C. If you add the same amount of heat to two liters of water, by how much will its temperature rise? B. suppose you add a certain amount ofheat to l g of. Substance X. [c-.5 calig ..C)]. and apply the same amount of heat to 1 g of Substance 25 cC) Do both substances experience the same temperature increase? If not, how are the temperature increases of the two substances related? C. The purpose of the radiator of a car is to absorb some of the energy released by burning gasoline; if this is not done the engine overheats. In the radiator flows a liquid which does the heat absorption. Which of the following two liquids would do this job more effectively, and why? Liquid A [e- calg C) Liquid B [c-))

Explanation / Answer

3)

m = mass of metal = 50 g = 0.050 kg

Tm = initial temperature of metal = 95 c

T = final equilibrium temperature = 19.4 C

c = specific heat of metal = ?

cw = specific heat of water = 4186

mw = mass of water = 250 g = 0.250 kg

Tw = initial temperature of water = 17 C

Using conservation of heat

m c (Tm - T) = mw cw (T - Tw)

(0.050) c (95 - 19.4) = (0.250) (4186) (19.4 - 17)

c = 664.4

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