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Chapter 3: Q17DQ (page 609)

Imagine a special air filter placed in a window of a house. The tiny holes in the filter allow only air molecules moving faster than a certain speed to exit the house, and allow only air molecules moving slower than that speed to enter the house from outside. What effect would this filter have on the temperature inside the house? (It turns out that the second law of thermodynamics鈥攚hich we will discuss in Chapter 20鈥攖ells us that such a wonderful air filter would be impossible to make.)

Short Answer

Expert verified

The temperature of the house will decrease if we place the given filter in the window.

Step by step solution

01

About the second law of thermodynamics

The second law of thermodynamics states that any spontaneously occurring process will always lead to an escalation in theentropy(S) of the universe.

鈭�S=QT

Where S is the entropy, Q is the heat And T is the temperature.

02

Determine the temperature inside the house

If the given special air filter is placed in the window of the house, after a while the average speed of the molecules present in the house will decrease. Thus, decreasing the average kinetic energy per molecule and hence, the temperature of the air in the house is decreased. Therefore, the house will be cooled down.

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Most popular questions from this chapter

Use the concepts of the kinetic-molecular model to explain: (a) why the pressure of a gas in a rigid container increases as heat is added to the gas and (b) why the pressure of a gas increases as we compress it, even if we do not change its temperature.

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