Which one of the following is incorrect for ideal solution? [2016]

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Solution

Q.
Which one of the following is incorrect for ideal solution [2016]

1 $Δ H_{mix} = 0$

2 $Δ U_{mix} = 0$

3 $Δ P = P_{obs} - P_{calculated by Raoult's law} = 0$

4 $Δ G_{mix} = 0$

Ans.
(4)

For an ideal solution, $Δ H_{mix} = 0, Δ V_{mix} = 0,$

Now, $Δ U_{mix} = Δ H_{mix} - P Δ V_{mix}$

$∴$ $Δ U_{mix} = 0$

Also, for an ideal solution,

   $p_{A} = x_{A} p_{A}^{o}, p_{B} = x_{B} p_{B}^{o}$

$∴$    $Δ P = P_{obs} - P_{calculated by Raoult's law} = 0$

$Δ G_{mix} = Δ H_{mix} - T Δ S_{mix}$

For an ideal solution, $Δ S_{mix} \neq 0$

$∴$    $Δ G_{mix} \neq 0$

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