Carnot Cycle (I)

 
Figure 1: The Carnot Cycle

For a reversible Carnot engine operating between tex2html_wrap_inline21 and tex2html_wrap_inline23 , whose working fluid is two moles of a monatomic ideal gas, if tex2html_wrap_inline25 is exactly one-half tex2html_wrap_inline27 , obtain an expression for tex2html_wrap_inline29 in terms of tex2html_wrap_inline31 and assorted numerical constants. Point A in this Carnot cycle, according to our usage, is the `corner' where the volume is smallest at tex2html_wrap_inline21 . Point B is on the same isotherm. Point C is connected to Point B by a reversible adiabatic expansion and lies on the tex2html_wrap_inline23 isotherm..

Use the letter `a' to stand for tex2html_wrap_inline31 , `b' for tex2html_wrap_inline27 , etc..

You may use the two asterisk `**' or the caret `^' notation to indicate powers, i.e. v**2 = v^2 = v*v.
Answer is:

Query, is the above formula correct?



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Carl W. David
Department of Chemsitry
University of Connecticut
Storrs, Connecticut 06269-4060
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david@uconnvm.uconn.edu