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Chapter 19: Q. 47 (page 545)
Your 300 mL cup of coffee is too hot to drink when served at 90掳C. What is the mass of an ice cube, taken from a -20掳C freezer, that will cool your coffee to a pleasant 60掳C?
The mass is 60.2g
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III One cylinder in the diesel engine of a truck has an initial volume of . Air is admitted to the cylinder at and a pressure of . The piston rod then does of work to rapidly compress the air. What are its final temperature and volume?
A beaker with a metal bottom is filled with of water at . It is brought into good thermal contact with a container holding of a monatomic gas at pressure. Both containers are well insulated from their surroundings.
What is the gas pressure after a long time has elapsed? You can assume that the containers themselves are nearly massless and do not affect the outcome.
A typical nuclear reactor generates 1000 MW (1000 MJ/s) of electrical energy. In doing so, it produces 2000 MW of 鈥渨aste heat鈥� that must be removed from the reactor to keep it from melting down. Many reactors are sited next to large bodies of water so that they can use the water for cooling. Consider a reactor where the intake water is at 18掳C. State regulations limit the temperature of the output water to 30掳C so as not to harm aquatic organisms. How many liters of cooling water have to be pumped through the reactor each minute?
The specific heat of most solids is nearly constant over a wide temperature range. Not so for diamond. Between 200 K and 600 K,
the specific heat of diamond is reasonably well described by c = 2.8T - 350 J/kg K, where T is in K. For gemstone diamonds, 1 carat = 200 mg. How much heat energy is needed to raise the temperature of a 3.5 carat diamond from -50掳C to 250掳C?
In Problems 74 through 76 you are given the equation used to solve a problem. For each of these, you are to
a. Write a realistic problem for which this is the correct equation.
b. Finish the solution of the problem.
76.
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