One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A is `P_0`. Choose the correct option (s) from the following

Options

A. (i),(ii)
B. (ii),(iii),(iv)
C. (i),(ii),(iii)
D. all

Answer

D

Explanation

`n=1,P_A=P_0`
(i) AB is isothermal process. Hence, temperature or internal energy is constant. (i) is O.K.
(ii) `DeltaW_(AB)=nRT_0ln((4V_0)/(V_0))=P_0V_0ln(4)`
(ii) is O.K.
(iii) `ArarrB,P_AV_A=P_BV_B`
`P_0V_0=P_B.4V_0`
`P_B=(P_0)/(4)`
BC is inclined line passing through origin on `V-T` diagram, i.e., BC is isobaric process.
(iv) `CrarrA` isochoric process
`(P_C)/(T_C)=(P_A)/(T_A)`
`((P_0)/(4))/(T_C)=(P_0)/(T_0)`
`T_C=(T_0)/(4)`, (iv) is O.K.