P21_014 - 14. (a) The pV diagram depicting the two paths is...

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14. (a) The pV diagram depicting the two “paths” is shown: (V,p) (2V,2p) path II path I (b) “Path I” consists of an isothermal (constant T ) process in which the volume doubles, followed by a constant-volume process. We consider the Q for each of these steps. We note that the connection between molar heat capacity and the degrees of freedom of a monatomic gas is given by setting f = 3 in Eq. 20-51. Thus, C V = 3 2 R , C p = 5 2 R , and γ = 5 3 . Isothermal: Since this is an ideal gas, Eq. 20-45 holds, which implies ∆ E int =0f o rth i s process. Eq. 20-14 also applies, so that by the Frst law of thermodynamics, Q =0+ W = nRT ln V f /V i = pV ln 2. The ideal gas law is used in the last step.
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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