Solving Isothermal Expansion of an Ideal Monatomic Gas

AI Thread Summary
The discussion revolves around solving a problem related to the isothermal expansion of an ideal monatomic gas, where the user expresses confusion about several parts of the question. Key points include the need to find functions for pressure and temperature during the expansion, as well as determining maximum temperature and work done. The user has attempted part (a) and derived a pressure function but is uncertain about its correctness and struggles with parts (b) and (c) due to missing information. They also clarify that the problem does not involve adiabatic processes. Overall, the user seeks guidance on how to approach the remaining parts of the problem effectively.
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ok i really don't understand this question, especially about finding the functions for the recompressed isothermal and about the recompression stuff, I am just stuck

An ideal monatomic gas is expanded from initial volume V1 = 1 litre, P1 = 2atm, and T1 = 300K to a volume V2 = 2 litres, and P2 = 1atm. The expansion is performed along a straight line in the PV-diagram. It is then re-compressed isothermally to its original values. a) find the function P(V) describing the expansion b) find the function T(V) during the expansion c) at which volume is the temperature a maximum Tmax and what is the volume Vm at this maximium temperature Tmax? d) what is the work done, the change in internal energy and the heat taken in during the temperature increase T to Tmax? e) what are these values for the final part of the expansion Vm to V2? f) fint the efficiency

for the parts about work done and internal energy i think i know how to do those, by using formulas like dU=nCvdT, I am just not sure

also does this question have anything to do with adiabatic processes? i don't think it does...but correct me if I am wrong, thanks!
 
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What parts of this problem have you attempted ? Please show your work first.

No, this question has nothing to do with adiabatic processes (but that should be for you to figure out).
 
k for part a i used p1, v1, v2, and p1, to find the slope which is rise/run and the slope is -1, i then plugged this into y=mx+b substituting p1 as y and v1 as x, and found b to be 3, so the equation i got is P(V) = -V + 3, which i don't know if its right or not..part b i have no idea how to do because i don't have T2 given so i can't find slope and do wht i did in part a, part c i tried to use pv=nrt and isolate T but I am stuck because i don't know the V at Tmax, and i don't know Tmax so i have 2 unkowns..and i think i could do parts d,e and f if i figure the rest out
 
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