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mk9898
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Homework Statement
Determine the ratio of the work that you must expend when a single-atom ideal Gas once isothermic and once adiabatic to 1/10 of its original volume is compressed. In both cases the initial pressure, initial volume and gas amount are all equal.
The Attempt at a Solution
Case 1: Isotherm --> ##\triangle Q = W##
(saving derivation) ##Q = RTln(10)##
Case 2: Adiabatic: --> ##\frac{fNk\triangle T}{2T}= \frac{-NkdV}{V}##
##\frac{f}{2}lnT + ln(10) = constant##