*** 32. A double-chambered container contains one mole of helium in one of its 1000 cm³ Pull to volume chambers. The container is well-insulated, and of low specific heat, so that no appre- ciable heat is added to the gas during the process we describe. The gas is initially at a tempera- ture of 300 K and a pressure of 1 atmosphere. The partition between the two chambers is then quickly raised, and the gas expands freely to fill the entire container. Whenever a monatomic gas like helium doubles its volume adiabatically like this, the pressure in the gas will drop to 0.315 of what it was before (for reasons that we did not explain in this chapter), so the final pressure of the expanded gas will be 0.315 atmospheres. remove 1000 cm³ 1000 cm³ a) What is the temperature of the gas after the expansion? b) What is the change in the internal energy of the gas? c) How much heat is added to the gas? [Hint: Maybe read the problem again.] d) How much work is done by the gas as it expands? [Hint: The pressure is not constant, so you cannot use the formula W = pAV.]

*** 32. A double-chambered container contains one mole of helium in one of its 1000 cm³ Pull to volume chambers. The container is well-insulated, and of low specific heat, so that no appre- ciable heat is added to the gas during the process we describe. The gas is initially at a tempera- ture of 300 K and a pressure of 1 atmosphere. The partition between the two chambers is then quickly raised, and the gas expands freely to fill the entire container. Whenever a monatomic gas like helium doubles its volume adiabatically like this, the pressure in the gas will drop to 0.315 of what it was before (for reasons that we did not explain in this chapter), so the final pressure of the expanded gas will be 0.315 atmospheres. remove 1000 cm³ 1000 cm³ a) What is the temperature of the gas after the expansion? b) What is the change in the internal energy of the gas? c) How much heat is added to the gas? [Hint: Maybe read the problem again.] d) How much work is done by the gas as it expands? [Hint: The pressure is not constant, so you cannot use the formula W = pAV.]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

*** 32. A double-chambered container contains one mole of helium in one of its 1000 cm³
Pull to
volume chambers. The container is well-insulated, and of low specific heat, so that no appre-
remove
ciable heat is added to the gas during the process we describe. The gas is initially at a tempera-
ture of 300 K and a pressure of 1 atmosphere. The partition between the two chambers is then
quickly raised, and the gas expands freely to fill the entire container. Whenever a monatomic
gas like helium doubles its volume adiabatically like this, the pressure in the gas will drop to
0.315 of what it was before (for reasons that we did not explain in this chapter), so the final
1000 cm3
1000 cm³
pressure of the expanded gas will be 0.315 atmospheres.
a) What is the temperature of the gas after the expansion?
b) What is the change in the internal energy of the gas?
c) How much heat is added to the gas? [Hint: Maybe read the problem again.]
d) How much work is done by the gas as it expands? [Hint: The pressure is not constant,
so you cannot use the formula W = pAV.]

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