A cyclic process for 1 mole of an ideal gas is shown in the V-T diagram. The work done in AB, BC and CA respectively are

Options

A. `0, R T_2 In((V_1)/(V_2)), R(T_1-T_2)`
B. `R(T_1-T_2), 0, R T_2 In((V_1)/(V_2))`
C. `0, R T_2 In((V_2)/(V_1)), R(T_1-T_2)`
D. `0, R T_2 In((V_2)/(V_1)), R(T_2-T_1)`

Answer

C

Explanation

For process AB (isochoric). `:. Delta W=0`
For process BC (isothermal). `:. W_(BC) = RT_2 . In((V_2)/(V_1))`
For Process CA (isobaric)
`W_(CA)= PDeltaV=RDeltaT = R(T_1-T_2)` (compression process).