1. A cylindrical aluminum rod is positioned between two enclosed volumes, each con- taining x moles of water. One of these volumes consists of steam and liquid water in thermal equilibrium, while the other contains water and ice in thermal equilibrium. The rod has a length of 24.0 cm, and a cross-sectional area of 14.0 cm². It conducts heat from the hotter volume (condensing steam) to the cooler one (melting ice) in steady-state. Treat the heat loss to the surroundings by the two volumes and the rod as negligible.

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1. A cylindrical aluminum rod is positioned between two enclosed volumes, each con-
taining a moles of water. One of these volumes consists of steam and liquid water in thermal
equilibrium, while the other contains water and ice in thermal equilibrium. The rod has a
length of 24.0 cm, and a cross-sectional area of 14.0 cm². It conducts heat from the hotter
volume (condensing steam) to the cooler one (melting ice) in steady-state. Treat the heat
loss to the surroundings by the two volumes and the rod as negligible.
steam & water
aluminum rod
water & ice
(a) Find the rate (in watts) at which heat is being transferred through the rod.
(b) Find the rate (in grams per second) at which the steam is condensing.
Transcribed Image Text:1. A cylindrical aluminum rod is positioned between two enclosed volumes, each con- taining a moles of water. One of these volumes consists of steam and liquid water in thermal equilibrium, while the other contains water and ice in thermal equilibrium. The rod has a length of 24.0 cm, and a cross-sectional area of 14.0 cm². It conducts heat from the hotter volume (condensing steam) to the cooler one (melting ice) in steady-state. Treat the heat loss to the surroundings by the two volumes and the rod as negligible. steam & water aluminum rod water & ice (a) Find the rate (in watts) at which heat is being transferred through the rod. (b) Find the rate (in grams per second) at which the steam is condensing.
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