Engineering
Chemistry
First Law and Various Process
Question

As shown in P-T diagram below, an ideal gas is expanded adiabatically from state (1) to final state (2), if the process is reversible, the final state is (3) if process is irreversible. Then identify the correct statement(s): 

 ΔUirreversible < ΔUreversible

|Wirreversible| < |Wreversible|    

|Wirreversible| > |Wreversible|

V3 > V2

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Solution

(Tirr.)adi. > (Trev.)adi.        ....(i)    
as Pf = P2 =same for both
so Tf α Vf ⇒ V3 > V2
as 21st relation valid so (Vf)irr. adia. > (Vf)rev. adia. 
in given graph as  ΔTirr. adia. < ΔTrev. adia.
                             |wirr. adia.| < |wrev. adia.|
                             |ΔUirr.| < |ΔUrev.|
|w| = nCvΔT
ΔU = nCvΔT = negative
so with sign
ΔUirr > ΔUrev

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