Reference no: EM13898263
1. In lab, Will burns a 0.6-g peanut beneath 50 g of water, which increases in temperature from 22°C to 50°C. The amount of heat absorbed by the water can be found with the equation Q = cmΔT, where Q is the amount of heat, c the specific heat of water, m the mass of water. and ΔT the change in the water's temperature.
a. Assuming that 40% of the heat released makes its way to the water, show that the food value of the peanut is 3500 calories, or 3.5 Calories.
b. What is the food value in calories per gram? In Calories per gram?
2. Radioactive decay of granite and other rocks in Earth's interior provides sufficient energy to keep the interior molten, to heat lava, and to provide warmth to natural hot springs. This is due to the average release of about 0.03 J per kilogram each year. Show that a 500°C increase in temperature for a thermally insulated chunk of granite takes about 13.3 million years. (Assume that the specific heat capacity of granite is 800 J/kg-C°. Use the equation Q = cmΔT.)
3. In a 25°C room, hot coffee in a vacuum flask cools from 75°C to 50°C in 8 hours. Explain why you predict that its temperature after another 8 hours will be 37.5°C.
4. At a certain location, the solar power per unit area reaching Earth's surface is 200 W/m2, averaged over a 24-hour day. If the average power requirement in your home is 3 kW and you can convert solar power to electric power with 10% efficiency, how large a collector area will you need to meet all your household energy requirements From solar energy? (Will a collector fit in your yard or on your roof?)
5. In lab you submerge 100 g of 40°C iron nails in 100 g of 20oC water (the specific heat of iron is 0.12 cal/goC.)
(a) Equate the heat gained by the water to the heat lost by the nails and show that the final temperature of the water becomes 22.1°C.
(b) Your lab partner is surprised by the result and says that since the masses of iron and water are equal, the final water temperature should lie closer to 30°C, half-way between. What is your explanation?
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What is food value in calories per gram in calories per gram
: In lab, Will burns a 0.6-g peanut beneath 50 g of water, which increases in temperature from 22°C to 50°C. What is the food value in calories per gram? In Calories per gram?
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