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An ideal gas undergoes an adiabatic expansion, a process in which no heat flows into or out of the gas. As a result,

(a) the temperature of the gas remains constant and the pressure decreases.

(b) both the temperature and pressure of the gas decrease.

(c) the temperature of the gas decreases and the pressure increases.

(d) both the temperature and volume of the gas increase.

(e) both the temperature and pressure of the gas increase

Short Answer

Expert verified

The correct option is (b).

Step by step solution

01

Concepts 

From the first law of thermodynamics, you get \(\Delta U = Q - W\).

Now, for the adiabatic process,\(Q = 0\).

02

Explanation 

Now, for the adiabatic process, you get:

\(\begin{array}{c}\Delta U = Q - W\\\Delta U = - W\end{array}\)

For adiabatic expansion, the distance between the gas molecules increases, which causes a decrease in pressure.

In adiabatic expansion, the work is done by the gas; so the internal energy of the gas decreases, which results in a decrease in temperature.

Hence, option (b) is the correct answer.

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Most popular questions from this chapter

Question: An ideal gas undergoes an isobaric compression and then an isovolumetric process that brings it back to its initial temperature. Had the gas undergone one isothermal process instead,

(a) the work done on the gas would be the same.

(b) the work done on the gas would be less.

(c) the work done on the gas would be greater.

(d) Need to know the temperature of the isothermal process.

Question:(II) A four-cylinder gasoline engine has an efficiency of 0.22 and delivers 180 J of work per cycle per cylinder. If the engine runs at 25 cycles per second (1500 rpm), determine (a) the work done per second, and (b) the total heat input per second from the gasoline. (c) If the energy content of gasoline is 130 MJ per gallon, how long does one gallon last?

An ideal gas undergoes an isothermal process. Which of the following statements are true? (i) No heat is added to or removed from the gas. (ii) The internal energy of the gas does not change. (iii) The average kinetic energy of the molecules does not change.

(a) (i) only.

(b) (i) and (ii) only.

(c) (i) and (iii) only.

(d) (ii) and (iii) only.

(e) (i), (ii), and (iii).

(f) None of the above.

Question: (II) How much less per year would it cost a family to operate a heat pump that has a coefficient of performance of 2.9 than an electric heater that costs \(2000 to heat their home for a year? If the conversion to the heat pump costs \)15,000, how long would it take the family to break even on heating costs? How much would the family save in 20 years?

(III) Rank the following five-card hands in order of increasing probability: (a) four aces and a king; (b) six of hearts, eight of diamonds, queen of clubs, three of hearts, jack of spades; (c) two jacks, two queens, and an ace; and (d) any hand having no two equal-value cards (no pairs, etc.). Discuss your ranking in terms of microstates and macrostates.

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