Which of the following statements is/are False?

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If heat of vaporization of water $100 ° C$ is 40.6 KJ/mol, then when 9gm of water vapours are condensed to liquid at $100 ° C$ & 1 atm, then $Δ S_{s y s t e m} = 54.42 J / K$

When ${(Δ G_{s y s t e m})}_{P, T} < 0$ ; the reaction must be exothermic.

$d G = V d p - S d T$ is applicable for closed system in which both PV and non – PV work occurs.

If ${(Δ G_{s y s t e m})}_{P, T} < 0$ , then process can be work producing.

answer is A, B, C.

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Detailed Solution

$Δ S_{s y s t e m} = - \frac{0.5 m o l \times 40.6 K j / m o l}{373 K} = - 54.42 J / K$
$d G = d H - d (T S)$
$= d (U + P V) - d (T S)$
$Δ G_{P . T} = d U + P d v - T d S$
$= d q + d w_{r e v} + d w_{i r r} + P d v - T d s$
$Δ G = d w_{n o n m e c h a n i c a l o n t h e s y s t e m}$
$d w_{n o n m e c h a n i c a l o n t h e s y s t e m} = - Δ G_{T . P}$
So D is true
$d G = d H - d (T S)$
$= d (V + P V) - d (T S)$
$= d U + P d V + V d P - T d S - S d T$
$= d q + d W_{m e c h} + d W_{n o n m e c h} + P d V + V d P - T d S - S d T$ $d G = d W_{n o n m e c h} + V d P - S d T$
So, C is false
B is false
For part “A” $Δ S_{s y s t e m} = - 54.42 J / K$