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} $