Hot air rises because it has expanded. It then displaces a greater volume of cold air, which increases the buoyant force on it. (a) Calculate the ratio of the buoyant force to the weight of 50.0ºC air surrounded by 20.0ºC air.                                                                                     (b) What energy is needed to cause 1.00 m3 of air to go from 20.0ºC  to 50.0ºC ?                                                                                                                 (c) What gravitational potential energy is gained by this volume of air if it rises 1.00 m? Will this cause a significant cooling of the air?

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Chapter1: Units, Trigonometry. And Vectors
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Hot air rises because it has expanded. It then displaces a greater volume of cold air, which increases the buoyant force on it.
 (a) Calculate the ratio of the buoyant force to the weight of 50.0ºC air surrounded by 20.0ºC air.                                                                                     (b) What energy is needed to cause 1.00 m3 of air to go from 20.0ºC  to 50.0ºC ?                                                                                                                 (c) What gravitational potential energy is gained by this volume of air if it rises 1.00 m? Will this cause a significant cooling of the air?

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