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Entropy

A system of ...

Question

A system of $100 k g$ mass undergoes a process in which its specific entropy increases from $0.3 k J g^{- 1}$ $K^{- 1}$ to $0.4 k J g^{- 1}$ $K^{- 1}$ . At the same time, the entropy of the surrounding decreases from $80 k J$ $K^{- 1}$ to $75 k J$ $K^{- 1}$ . Find the ${(Δ S)}_{u n i v e r s e}$ in $k J$ $K^{- 1}$ .

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Solution

$Δ S_{s y s t e m} = 100 \times 1000 (0.4 - 0.3)$ $k J$ $K^{- 1} = 10000$ $k J$ $K^{- 1}$
$Δ S_{s u r r o u n d i n g} = 75 - 80 = - 5$ $k J$ $K^{- 1}$
$Δ S_{u n i v e r s e} = Δ S_{s y s t e m} + Δ S_{s u r r o u n d i n g}$
$= 10000 - 5 = 9995$ $k J$ $k^{- 1}$

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