AP Free Response Question
2009 B4
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The cylinder represented above contains 2.2 kg of water vapor initially at a volume of 2.0 m
^{3}
and an absolute pressure of 3.0 x 10
^{5}
Pa. This state is represented by point A in the PV diagram below. The molar mass of water is 18 g, and the water vapor can be treated as an ideal gas.
(a) Calculate the temperature of the water vapor at point A.
The absolute pressure of the water vapor is increased at constant volume to 4.0 x 10
^{5}
Pa at point B, and then the volume of the water vapor is increased at constant pressure to 2.5 m
^{3}
at point C, as shown in the PV diagram.
(b) Calculate the temperature of the water vapor at point C.
(c) i. Does the internal energy of the water vapor for the process A → B → C increase, decrease, remain the same?
(c) ii. Justify your choice.
(d) Calculate the work done on the water vapor for the process A → B → C.
Topic Formulas
Description
Published Formula
1st Law of Thermodynamics
Carnot efficiency
efficiency of a heat cycle
Ideal Gas Law
internal energy of a confined gas
Kinetic Theory of Gases
pressure
root-mean-square speed
specific heat of a confined gas
work done by a confined gas
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