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Q.

40% of HI undergoes decompose to H₂ and I₂ at 300 K. $∆ G^{⊝}$ for this decomposition reaction at one atmosphere pressure is _______ J mol^-1 . (nearest integer)
(Use R = 8.31 J K^-1 Mol^-1 ; log 2 = 0.3010. In 10 = 2.3, log 3 = 0.477)

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answer is 2735.

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Detailed Solution

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$HI ⇌ \frac{1}{2} H_{2} + \frac{1}{2} I_{2} t_{i 1} teq 1 - 0.4 \frac{0.4}{2} \frac{0.4}{2}$

$K_{p} = \frac{{(0.2)}^{\frac{1}{2}} {(0.2)}^{\frac{1}{2}}}{1 - 0.4} = \frac{0.2}{0.6} = \frac{1}{3}$

$∆ G ° = - RTlnK = - 8.31 x 300 x 2.3 \log (\frac{1}{3})$

$= 2735 J / mol$

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40% of HI undergoes decompose to H2 and I2 at 300 K. ∆G⊝ for this decomposition reaction at one atmosphere pressure is _______ J mol-1 . (nearest integer)(Use R = 8.31 J K-1 Mol-1 ; log 2 = 0.3010. In 10 = 2.3, log 3 = 0.477)