AP Free Response Question
2004 Form B - B5
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One mole of an ideal gas is initially at pressure P
_{1}
, volume V
_{1}
, and temperature T
_{1}
, represented by point A on the PV diagram above. The gas is taken around cycle ABCA as shown. Process AB is isobaric, process BC is isochoric, and process CA is isothermal.
(a) Calculate the temperature T
_{2}
at the end of process AB in terms of temperature T
_{1}
.
(b) Calculate the pressure P
_{2}
at the end of process BC in terms of pressure P
_{1}
.
(c) Calculate the net work done on the gas when it is taken from A to B to C. Express your answer in terms of P
_{1}
and V
_{1}
.
(d) Indicate below all of the processes that result in heat being added to the gas. Justify your answer.
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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A Sample Heat Engine
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Resource Lesson:
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2nd Law of Thermodynamics and Entropy
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Heat Cycles
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Ideal Gases
RL -
Kinetic Theory of Gases
RL -
State Variables
RL -
Thermodynamic Processes
Worksheet:
CP -
Gases
CP -
Thermodynamics
WS -
Gas Calculations
WS -
Heat Cycles
WS -
Ideal Gases
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