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1. Determine the equation for the adiabatic change of a system of an ideal
gas, which starts at some initial state given by Po,V , T .
(a) How does that equation compare to the equation oo
for an isothermal
change of a system?
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2. Find a description of a Carnot cycle. Sketch a diagram of a Carnot cycle
on a PV diagram, giving the equations for each of the sides of the cycle.
(a) Pick some reasonable numerical values for P, V, and T and calculate
the numbers for the other three corners of the Carnot cycle.
For example, suppose you start with a volume of 1 liter (1000 cc) of
air(treat air as pure nitrogen, if you wish) at room temperature and one
atmosphere of pressure. Suppose you run through a Carnot cycle that
has a compression ratio typical of a modern automobile engine, say
about 8 to 1.
Complete the numerical calculations for this case and draw a PV
diagram to scale.
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