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Spontaneity

For the react...

Question

For the reaction,
$2 C l_{(g)} \to C l_{2 (g)}$ , what are the signs of $Δ H$ and $Δ S$ ?

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Solution

$Δ H$ and $Δ S$ are negative
The given reaction represents the formation of chlorine molecule from chlorine atoms.
Here, bond formation is taking place. Therefore, energy is being released. Hence, $Δ H$ is negative.
Also, two moles of atoms have more randomness than one mole of a molecule. Since spontaneity is decreased, $Δ S$ is negative for the given reaction.

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