Thermodynamics and Thermochemistry - Result Question 29
29. The direct conversion of $A$ to $B$ is difficult, hence it is carried out by the following shown path
Given that $\quad \Delta S _{(A \rightarrow C)}=50 $ $eu$
$\Delta S _{(C \rightarrow D)}=30 $ $eu$
$\Delta S _{(D \rightarrow B)}=-20$ eu where, eu is entropy unit
Then, $\Delta S _{(A \rightarrow B)}$ is
(2006, 3M)
(a) $+100$ eu
(b) $+60$ eu
(c) $-100$ eu
(d) $-60$ eu
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Answer:
Correct Answer: 29. (b)
Solution:
Entropy is a state function hence,
$ \begin{aligned} \Delta S _{A \rightarrow B} & =\Delta S _{A \rightarrow C}+\Delta S _{C \rightarrow D}+\Delta S _{D \rightarrow B} \\ & =50 \hspace{1mm} eu+30 \hspace{1mm} eu+(-20 \hspace{1mm} eu) \\ & =60\hspace{1mm} eu \end{aligned} $