Refer to the Carnot cycle of an ideal gas shown in the figure.
Let \( W_{a \rightarrow b}, W_{b \rightarrow c}, W_{c \rightarrow d} \) and \( W_{d \rightarrow a} \) represent the work done
\( \mathrm{P} \) by the system during the processes \( a \rightarrow b, b \rightarrow c, c \rightarrow d \),
W and \( d \rightarrow a \) respectively. Consider the following relations
[AMU (Med.) 2012]
(1) \( W_{a \rightarrow b}+W_{b \rightarrow c}+W_{c \rightarrow d}+W_{d \rightarrow a}0 \)
(2) \( W_{a \rightarrow b}+W_{b \rightarrow c}+W_{c \rightarrow d}+W_{d \rightarrow a}0 \)
(3) \( W_{a \rightarrow b}+W_{c \rightarrow d}0 \)
(4) \( W_{b \rightarrow c}+W_{d \rightarrow a}=0 \)
Which of the above relation is/are true?
(a) 1 and 3 only
(b) 3 and 4 only
(c) 1,3 and 4 only
(d) 2, 3 and 4 only
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