One mole of an non linear triatomic ideal gas is compressed adiabatically at 300 K from 1 atom to 16 atm. Calculate Work done under the following conditions. (i) Expansion is carried out reversibly. (ii) Expansion is carried out irreversibly.

One mole of an non linear triatomic ideal gas is compressed adiabatica

1.	One mole of an non linear triatomic ideal gas is compressed adiabatically at 300 K from 1 atom to 16 atm. Calculate Work done under the following conditions. (i) Expansion is carried out reversibly. (ii) Expansion is carried out irreversibly.
Answer» SOLUTION :q = 0 Adiabatic PROCESS (i) `W_("rev")=DeltaU=C_(V)(T_(2)-T_(1))` `P^(1-gamma)T^(gamma)=K` `T_(2)=300(1/16)^((1-4//3)/(4//3))=600K` w = 3R (600 - 300) = 900 R (ii) `W_("irr")=-P_("EXT")(V_(2)-V_(1))=-P_("ext")((nRT_(2))/P_(2)-(nRT_(1))/P_(1))` `-P_("ext")((nRT_(2))/P_(2)-(nRT_(1))/P_(1))=C_(v)(T_(2)-T_(1))` `-16((RT_(2))/16-(RT_(1))/1)=3R(T_(2)-T_(1))` `-(T_(2)-16T_(1))=3R(T_(2)-T_(1))` `-T_(2)+16T_(1)=3T_(2)-3T_(1)` `4T_(2)=19T_(1)` `T_(2)=19/4xx300=1425K` `w=DeltaU=3R(1425-300)=3375R`