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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##