A reversible cyclic process for an ideal gas is shown below. Here, P, V, and T are pressure, volume and temperature, respectively. The thermodynamic parameters q, w, H and U are heat, work, enthalpy and internal energy, respectively.

The correct option (s) is (are)

Options

A. `q_(AC)=DeltaU_(BC) and W_(AB)=P_(2)(V_(2)-V_(1))`
B. `W_(BC)=P_(2)(V_(2)-V_(1))and q_(BC)=DeltaH_(AC)`
C. `DeltaH_(CA)ltDeltaU_(CA)and q_(AC)=DeltaU_(BC)`
D. `q_(BC)=DeltaH_(AC) and DeltaH_(CA) gt DeltaU_(CA)`

Answer

B, C

Explanation

AC `rarr` Isochoric
AB `rarr` Isothermal
BC `rarr` Isobaric
`# q_(AC)=DeltaU_(BC)=nC_(V)(T_(2)-T_(1))`
`W_(AB)=nRT_(1)ln((V_(2))/(V_(1)))" A(wrong)"`
`#q_(BC)=DeltaH_(AC)=nC_(P)(T_(2)-T_(1))`
`W_(BC)=-P_(2)(V_(1)-V_(2))" B(correct)"`
`# nC_(P)(T_(1)-T_(2))ltnC_(V)(T_(1)-T_(2))" C(correct)"`
`DeltaH_(CA)ltDeltaU_(CA)`
`# D` (wrong).