Two solid spheres, A and B, made of the same material, are at temperatures of 0° C and 100° C, respectively. The spheres are placed in thermal contact in an ideal calorimeter, and they reach an equilibrium temperature of 20° C. (1) Which is the bigger sphere? (2) What is the ratio of their diameters?
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- A bubble having a diameter of 27 cm is re- leased from a depth of 4.6 m from the bottom of a swimming pool. The temperature of the water at the surface is 18°C, whereas it is 17°C at the point of release. What will the diameter of the bubble be when it reaches the surface? The acceleration of gravity is 9.8 m/s² and the density of water is 1000 kg/m³. Answer in units of cm. Answer in units of cm.A styrofoam cooler (k = 0.030 W/(m-°C) has outside dimensions of 0.170 m x 0.250 m x 0.260 m, and an average thickness of 2.0 cm. How long will it take for 1.10 kg of ice at -5.0°C to melt (to water at 0°C) in the cooler if the outside temperature is 34.0°C? Assume that ice temperature increases linearly from -5.0°C to 0°C. Neglect any temperature change of the air in the cooler. Data: Specific heat of ice is 2050 J/(kg-K). Laten heat of fusion of water is 3.34×105 J/kg.A copper rod and an aluminum rod of equal diameter are joined end to end in good thermal contact. The temperature of the free end of the copper rod is held constant at 100°C, and that of the far end of the aluminum rod is held at 0°C. If the copper rod is 0.50 m long, what must be the length of the aluminum rod so that the temperature at the junction is 50°C?
- A copper rod and an aluminum rod of equal diameter are joined end to end in good thermal contact. The temperature of the free end of the copper rod is held constant at 100°C, and that of the far end of the aluminum rod is held at 0°C. If the copper rod is 0.42 m long, what must be the length of the aluminum rod so that the temperature at the junction is 50°C?A cramming student warms 0.500 L of cold coffee in a Pyrex carafe. Full carafe of coffee at 20°F. How much coffee has spilled when the coffee and carafe reach 95°C? Given that the carafe is an isotropic solid, Pyrex has a linear thermal expansion coefficient of 3.3 x 10-6 K-1 and water (coffee) has 207 x 106 K-1.Older railroad tracks in the U.S. are made of Part A 12-m-long pieces of steel. When the tracks are laid, gaps are left between the sections to prevent buckling when the steel thermally expands. If a track is laid at 16° C, how large should the gaps be if the track is not to buckle when the temperature is as high as 50° C? The coefficient of linear expansion of soft steel is 1.1 × 10-5 °C-1. Express your answer with the appropriate units. HẢ .... Value %3D Submit Previous Answers Request Answer
- A bubble having a diameter of 62 cm is re- leased from a depth of 4.6 m from the bottom of a swimming pool. The temperature of the water at the surface is 21°C, whereas it is 15°C at the point of release. What will the diameter of the bubble be when it reaches the surface? The acceleration of gravity is 9.8 m/s² and the density of water is 1000 kg/m³. Answer in units of cm.A pair of eyeglass frames are made of an epoxy plastic (coefficient of linear expansion = 1.30 10-4°C-1). At room temperature (20.0°C), the frames have circular lens holes 2.40 cm in radius. To what temperature must the frames be heated if lenses 2.41 cm in radius are to be inserted into them?A cramming student warms 0.500 L of cold coffee in a Pyrex carafe. Full carafe of coffee at 20°F. How much coffee has spilled when the coffee and carafe reach 95°C? Given that the carafe is an isotropic solid, Pyrex has a linear thermal expansion coefficient of 3.3 x 10-6 K-1 and water (coffee) has 207 x 106 K-1.
- Homework 2: Problem 7: When builders were constructing a sidewalk they forgot to include an expansion joint between two of the segments, L = 1.7 m at To = 20° C. Assume the opposite ends of each segment are fixed and the linear expansion coefficient is α = 11.8 × 10-6 °C-1. Part (a) As the day heats to Tb the segments press against each other and begin to raise the junction a distance h forming a triangle. What is the height (in meters) at Tb=110° F? h = ______ m Part (b) What should the gap have been, in units of meters, to prevent them from touching? g = ______mA spherical shell has inner radius 3.00 cm and outer radius 7.00 cm. It is made of material with thermal conductivity k = 0.800 W/m - °C. The interior is maintained at tempera- ture 5°C and the exterior at 40°C. After an interval of time, the shell reaches a steady state with the temperature at each point within it remaining constant in time. (a) Explain why the rate of energy transfer P must be the same through each spherical surface, of radius r, within the shell and must satisfy dT_ dr 4rkr? (b) Next, prove that r0.07 r-2 dr 4 Tk Joos 40 dT = where Tis in degrees Celsius and ris in meters. (c) Find the rate of energy transfer through the shell. (d) Prove that dT = 1.84 Jo.03 | r? dr where Tis in degrees Celsius and r is in meters. (e) Find the temperature within the shell as a function of radius. (f) Find the temperature at r = 5.00 cm, halfway through the shell.