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Entropy

Which of the ...

Question

Which of the following reactions will have a negative $Δ S$ ?

H_{2} O_{(} l) \to H_{2} O_{(} g)

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2 S O_{2 (g)} + O_{2 (g)} \to 2 S O_{3 (g)}

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C l_{2 (g)} \to 2 C l_{(} g)

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C a C O_{3 (g)} \to C a O_{(} s) + C O_{2 (g)}

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Solution

The correct option is B $2 S O_{2 (g)} + O_{2 (g)} \to 2 S O_{3 (g)}$
$2 S O_{2 (g)} + O_{2 (g)} \to 2 S O_{3 (g)}$ $Δ n_{g}$ = 2 - 3 = -1
Since number of gaseous moles is decreasing with forward reaction, the randomness and hence $Δ S$ decreases. Hence, $Δ S < 0$

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