Question

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)
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) lt DeltaU_(CA) and q_(AC)=DeltaU_(BC)`
D. `q_(BC)=DeltaH_(AC) and DeltaH_(CA) gt DeltaU_(CA)`.

Answer 1

Correct Answer - B::C
In the given cyclic process:
`AC to` Isochoric process
`AB to` Isothermal process
`BC to ` isobaric process
(b). `w_(BC)=-P_(2)(V_(2)-V_(1))` work of isobaric expansion (correct)
`=P_2(V_(1)-V_(2))`
`q_(BC)=DeltaH_(AC)=nC_(p)(T_(2)-T_(1))` Enthalpy change in isobaric process (correct)
(c) `nC_(p)(T_(1)-T_(2)) lt nC_(V)(T_(1)-T_(2))`
`DeltaH_(CA) lt DeltaU_(CA)` (correct)
`q_(AC)=DeltaU_(BC)`.