(III) A copper rod and an aluminum rod of the same length and cross-sectional area are attached end to end (Fig. 14–18). The copper end is placed in a furnace maintained at a con- stant temperature of 205°C. The aluminum end is placed in an icc bath hcld at a constant temperature of 0.0°C. Calculate the temperature at the point where the two rods are joined. Cu Al GURE 14–18 roblem 44. 205°C T= ? 0.0°C
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- Compare the rate of heat conduction through a 13.0-cm-thick wall that has an area of 10.0 m2 and a thermal conductivity that of glass wool with the rate of heat conduction through a 0.750-cm-thick window that has an area of 2.00 m2, assuming the same temperature difference across each.Check Your Understanding When 1.00 g of ammonia boils at atmospheric pressure and 330 . its volume changes from 1.47 to 1130 cm3. Its heat of vaporization at this pressure is 1.37106 J/kg. What is the change in the internal energy of the ammonia when it vaporizes?Check Your Understanding How does the rate of heat transfer by conduction change when all spatial dimensions are doubled?
- To help prevent frost damage, 4.00 kg of water at 0 is sprayed onto a fruit tree. (a) How much heat transfer occurs as the water freezes? (b) How much would the temperature of the 200-kg tree decrease if this amount of heat transferred from the tree? Take the specific heat to be 3.35k J/kg. , and assume that no phase change occurs in the tree.A sealed room has a volume of 24 m3. It's filled with air, which may be assumed to be diatomic, at a temperature of 24 and a pressure of 9.83104 Pa. A 1.00-kg block of ice at its melting point is placed in the room. Assume the walls of the room transfer no heat. What is the equilibrium temperature?An engineer wants to design a structure in which the difference in length between a steel beam and an aluminum beam remains at 0.500 m regardless of temperature, for ordinary temperatures. What must the lengths of the beams be?
- In some countries, liquid nitrogen is used on daily trucks instead of mechanical refrigerators. A 3.00-hour delivery trip requires 200 L of liquid nitrogen, which has a density of 808 kg/m3. (a) Calculate the heat transfer necessary to evaporate this amount of liquid nitrogen and raise its temperature to 3.00 . (Use cp and assume it is constant over the temperature range.) This value is the amount of cooling the liquid nitrogen supplies. (b) What is this heat transfer rate in kilowatt-hours? (c) Compare the amount of cooling obtained from melting an identical mass of 0- ice with that from evaporating the liquid nitrogen.For the human body, what is the rate of heat transfer by conduction through the body's tissue with the following conditions: the tissue thickness is 3.00 cm, the difference in temperature is 2.00 , and the skin area is 1.50 m2. How does this compare with the average heat transfer rate to the body resulting from an energy intake of about 2400 kcal per day? (No exercise is included.)If the pressure and volume of a system are given, is the temperature always uniquely determined?
- (II) To make a secure fit, rivets that are larger than therivet hole are often used and the rivet is cooled (usuallyin dry ice) before it is placed in the hole. A steel rivet1.872 cm in diameter is to be placed in a hole 1.870 cm indiameter in a metal at 22°C. To what temperature must therivet be cooled if it is to fit in the hole?(II) An ordinary glass is filled to the brim with 450.0 mL ofwater at 100.0°C. If the temperature of glass and water isdecreased to 20.0°C, how much water could be added tothe glass?(II) A tire is filled with air at 15°C to a gauge pressure of230 kPa. If the tire reaches a temperature of 38°C, whatfraction of the original air must be removed if the originalpressure of 230 kPa is to be maintained?