In: Physics
1. The Eiffel Tower is a steel structure whose height increases by 19.8 cm when the temperature changes from -9 to +40 oC. What is the approximate height (in meters) at the lower temperature?
2. Many hot-water heating systems have a reservoir tank connected directly to the pipeline, so as to allow for expansion when the water becomes hot. The heating system of a house has 87.3 m of copper pipe whose inside radius is 9.70 x 10- 3 m. When the water and pipe are heated from 21.7 to 84.1 °C, what must be the minimum volume of the reservoir tank to hold the overflow of water?
3. When you drink cold water, your body must expend metabolic energy in order to maintain normal body temperature (37.0°C) by warming up the water in your stomach. Could drinking ice water, then, substitute for exercise as a way to "burn calories?" Suppose you expend 410. kilocalories during a brisk hour-long walk. How many liters of ice water (0°C) would you have to drink in order to use up 410. kilocalories of metabolic energy? For comparison, the stomach can hold about 1 liter.
4. A snow maker at a resort pumps 120 kg of lake water per minute and sprays it into the air above a ski run. The water droplets freeze in the air and fall to the ground, forming a layer of snow. If all of the water pumped into the air turns to snow, and the snow cools to the ambient air temperature of -7.5°C, how much heat does the snow-making process release each minute? Assume the temperature of the lake water is 14.8°C, and use 2.00x103 J/(kg·C°) for the specific heat capacity of snow.