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Chapter 15: 12Q (page 412)

Question:You are asked to test a machine that the inventor calls an 鈥渋n-room air conditioner鈥�: a big box, standing in the middle of the room, with a cable that plugs into a power outlet. When the machine is switched on, you feel a stream of cold air coming out of it. How do you know that this machine cannot cool the room?

Short Answer

Expert verified

The machine cannot cool the room because the heat addition will make the room warmer

Step by step solution

01

Understanding air conditioners 

In this problem, the inventor鈥檚 device called 鈥渋n room air conditioner鈥� is an air-conditioner type heat engine, andit will remove heat from the room.

02

Explanationfor the inventor’smachine about cooling the room                              

The machine made by the inventor is named an 鈥渋n-room air conditioner.鈥� It is a huge box placed in the middle of the room. It is connected to the power outlet through a cable.

By the law of thermodynamics, it can be said that there should be a greater temperature exhaust heat, which should be larger than the removed heat. In this condition, the addition of heat to the machine will make the room warmer.

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Most popular questions from this chapter

Question: An ideal heat pump is used to maintain the inside temperature of a house at \({T_{{\rm{in}}}} = 22{\rm{^\circ C}}\) when the outside temperature is \({T_{{\rm{out}}}}\). Assume that when it is operating, the heat pump does work at a rate of 1500 W. Also assume that the house loses heat via conduction through its walls and other surfaces at a rate given by \(\left( {650\;{{\rm{W}} \mathord{\left/

{\vphantom {{\rm{W}} {{\rm{^\circ C}}}}} \right.} {{\rm{^\circ C}}}}} \right)\left( {{T_{{\rm{in}}}} - {T_{{\rm{out}}}}} \right)\). (a) For what outside temperature would the heat pump have to operate all the time in order to maintain the house at an inside temperature of 22掳C? (b) If the outside temperature is 8掳C, what percentage of the time does the heat pump have to operate in order to maintain the house at an inside temperature of 22掳C?

Question: (II) (a) What is the coefficient of performance of an ideal heat pump that extracts heat from 6掳C air outside and deposits heat inside a house at 24掳C? (b) If this heat pump operates on 1200 W of electrical power, what is the maximum heat it can deliver into the house each hour? See Problem 35.

(I) An ideal gas expands isothermally, performing\({\bf{4}}{\bf{.30 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{J}}\) of work in the process. Calculate (a) the change in internal energy of the gas, and (b) the heat absorbed during this expansion.

Question:(II) A Carnot engine performs work at the rate of 520 kW with an input of 950 kcal of heat per second. If the temperature of the heat source is 520掳C, at what temperature is the waste heat exhausted?

(II) Suppose that you repeatedly shake six coins in your hand and drop them on the floor. Construct a table showing the number of microstates that correspond to each macrostate. What is the probability of obtaining

(a) three heads and three tails, and

(b) six heads?
See all solutions

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