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Van't Hoff Factor

If Δ H vapori...

Question

If $Δ H_{v a p o r i s a t i o n}$ of substance X(1) (molar mass: 30 g/mol) is 300 J/g at its boiling point 300 K, then molar entropy change for reversible condensation process is

A

30 J/mol. K

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B

− 300 J/mol. K

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C

− 30 J/mol. K

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D

None of these

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Solution

The correct option is C
− 30 J/mol. K

$Δ H_{v a p o r i s a t i o n} = 300 \times 30 J / m o l$

$Δ S_{c o n d e n s a t i o n} = \frac{- Δ H_{v a p o r i s a t i o n}}{T_{b o i l i n g p o i n t}}$

= $\frac{- 300 \times 30}{300} J / m o l . K$

= $- 30 J / m o l K$

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