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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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?

OBoiling
water
COPPER
-1.00 m-
65.0°C
STEEL
-42-→
0800
Ice and
water
17
Transcribed Image Text:OBoiling water COPPER -1.00 m- 65.0°C STEEL -42-→ 0800 Ice and water 17
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