Insulation 65.0°C Ice and Boiling water COPPER STEEL water *ームー 1.00 m
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A long rod, insulated to prevent heat loss along its sides, is
in perfect thermal contact with boiling water (at atmospheric pressure)
at one end and with an ice–water mixture at the other (Fig. ).
The rod consists of a 1.00 m section of copper (one end in boiling
water) joined end to end to a length L2 of steel (one end in the ice–
water mixture).
Both sections of the rod have cross-sectional areas of
4.00 cm2. The temperature of the copper–steel junction is 65.0 C after a
steady state has been set up. (a) How much heat per second flows from
the boiling water to the ice–water mixture? (b) What is the length L2 of
the steel section?
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- 2,2 A 50 g silver disk at 300°Cis placed in 200 cm of methyl alcohol at 14°C, then removed quickly. The silver temperature is found to have dropped to 120°C: Calculate the new temperature of the methyl alcohol. [HINT: Specific heat capacities of silver and methyl alcohol are, respectively, 235 J/(kg-K) and 2530 J(kg K), and density of methyl alcohol is 792 kg/m]1) The walls of a house are 11 cm thick and have an average thermal conductivity two times that of cork. The walls' surface area is 850000 cm2 and their inside surface is at 18°C, while their outside surface is at 4°C. (Thermal conductivity of cork is 0.036 W/m°C). Calculate, (i) The rate of heat conduction through house walls in Watts: (1) Amount of heat conducted in Joules, in 5 min: 2) A spherical infrared heater of radius 6.5 cm and an emissivity of 0.82 radiates 0.48 kW of power. Given, Stefan's constant = 5.67x10 Wm K Calculate, Temperature of the heater in Celsius: 1) A 275-turns square loop of 34 cm on a side, carrying a current of 22 A creates a torque of 385 N m when the plane of the coil makes an angle 38° with the magnetic field.A long rod, insulated to prevent heat loss along its sides, is in perfect thermal contact with boiling water (at atmospheric pressure) at one end and with an ice-water mixture at the other (Figure 1). The rod consists of a 1.00m section of copper (with one end in the boiling water) joined end-to-end to a length L2 of steel (with one end in the ice water). Both sections of the rod have cross-sectional areas of 4.00 cm^2. The temperature of the copper-steel junction is 65.0 C after a steady state has been reached. Assume that the thermal conductivities of copper and steel are given by kcopper=385 W/m⋅K and ksteel=50.2 W/m⋅K. How much heat per second H (=Q/Δt) flows from the boiling water to the ice-water mixture?
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