question_answer

Refer to the Carnot cycle of an ideal gas shown in the figure. Let \[{{W}_{a\to b}},{{W}_{b\to c}},{{W}_{c\to d}}\] and \[{{W}_{d\to a}}\]represent the work done by the system during the processes \[a\to b,\,b\to c,\,c\to d\] and \[d\to a\]respectively. Consider the following relations

(i) \[{{W}_{a\to b}}+{{W}_{b\to c}}+{{W}_{c\to d}}+{{W}_{d\to a}}>0\]

(ii) \[{{W}_{a\to b}}+{{W}_{b\to c}}+{{W}_{c\to d}}+{{W}_{d\to a}}<0\]

(iii) \[{{W}_{a\to b}}+{{W}_{c\to d}}>0\]

(iv) \[{{W}_{b\to c}}+{{W}_{d\to a}}=0\]

                Which of the above relation(s) is/are true?

A)  (i) and (iii)          

B)  (iii) and (iv)

C)  (i) (iii) and (iv)                  

D)  (ii),(iii) and (iv)