An ideal gas is expanded from (p_(1),V_(1),T_(1)) to (p_(2),V_2,T_(2)) under different conditions. The correct statement(s) among the following is (are).

An ideal gas is expanded from (p_(1),V_(1),T_(1)) to (p_(2),V_2,T_(2))

1.	An ideal gas is expanded from (p_(1),V_(1),T_(1)) to (p_(2),V_2,T_(2)) under different conditions. The correct statement(s) among the following is (are).
Answer» The work done on the gas is maximum when it is compressed irreversibly from `(p_(2)V_(2))` to `(p_(1),V_(1))` against constant pressure `p_(1)` The work done on the gs is less when it is expanded reversibly from `V_(1)` to `V_(2)` under isothermal CONDITIONS. The change in INTERNAL energy of the gas (i) zero, if it is expanded reversibly with `T_(1)=T_(2)`, and (ii) positive, if it is expanded reversible under adiabatic conditions with `T_(1) ne T_2` If the expansion is carried out FREELY, it is simultaneously both isothermal as well as adiabatic. Solution : Work done=Area under the curve `thereforew_(REV) LT w_(irr)` `w_(AtoB) gt w_(AtoC)` (d) For free expansion w=0 (free expansion) For adiabatic process q=0 (Adiabatic) `therefore` From first law `DeltaU=q+w` `DeltaU=0` i.e., `DeltaT=0` (Isothermal)