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Two samples A and B are initially kept i...

Two samples A and B are initially kept in the same state. The sample B through an isothermal process. The final volumes of the samples are the same
(a) Compare final temperatures, final pressures and work doen in A and B.
(b) Repeat the part (i), If samples are compressed to same final volume.

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(a)`(P,V,T)underset(A)overset("adiabatic")to(P_A,V',T_A)`
`(P,V,T)underset(A)overset("isothermal")to(P_B,V',T_B)`
In isothermal process expansion, temperature remains same (i.e., `T_B=T`)
In adiabatic expansion, temperature falls (i.e., `T_A lt T`)
`T_A lt T_B`
To compare perssures and work done, draw `P-V` diagram
From graph `P_A lt P_B`
The area of `P-V` diagram, below the process give work done
`DeltaW_A lt DeltaW_B`
(ii) In adiabetic compression, temperature rises (i.e., `T_A gt T`)
`T_A gt T_B`
`P_A gt P_B`,`DeltaW_A gt DeltaW_B`
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