Water from a river circulates through a building for heating and cooling. The riversflow rate is about 500 cubic feet per second^2. In winter, the water’s temperature is just above freezing. In summer, the water’s temperature is about 25◦C 3 . The specific heat of air is about 1.0 kJ/kg. The density of air is 1.225 kg/m^3. The volume of the Powerhouse is approximately 6000 m3 . (a) On a warm spring day, the outside temperature is in the high eighties, about 30◦C. How much water is required to cool the air to a more comfortable 26°C? (b) If cool water arrives from upriver and cool water flows away down the river, how long would it take for the river to supply enough cool water to provide this cooling? ( c) How cold does it have to be in order for warming using the river water to be possible?
Water from a river circulates through a building for heating and cooling. The riversflow rate is about 500 cubic feet per second^2. In winter, the water’s temperature is just above freezing. In summer, the water’s temperature is about 25◦C 3 . The specific heat of air is about 1.0 kJ/kg. The density of air is 1.225 kg/m^3. The volume of the Powerhouse is approximately 6000 m3 . (a) On a warm spring day, the outside temperature is in the high eighties, about 30◦C. How much water is required to cool the air to a more comfortable 26°C? (b) If cool water arrives from upriver and cool water flows away down the river, how long would it take for the river to supply enough cool water to provide this cooling? ( c) How cold does it have to be in order for warming using the river water to be possible?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Water from a river circulates through a building for heating and cooling. The riversflow rate is about 500 cubic feet per second^2. In winter, the water’s temperature is just above freezing. In summer, the water’s temperature is about 25◦C 3 . The specific heat of air is about 1.0 kJ/kg. The density of air is 1.225 kg/m^3. The volume of the Powerhouse is approximately 6000 m3 .
(a) On a warm spring day, the outside temperature is in the high eighties, about 30◦C. How much water is required to cool the air to a more comfortable 26°C?
(b) If cool water arrives from upriver and cool water flows away down the river, how long would it take for the river to supply enough cool water to provide this cooling? (
c) How cold does it have to be in order for warming using the river water to be possible?
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