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$α - D$ glucose undergoes mutarotation to $β - D$ glucose in an aqueous solution at 298 K. If 64% of conversion observed after some time to attain equilibrium, then the reaction quotient and spontanity of reaction is

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0.56, non-spontaneous

1.78, non spontaneous

0.56, spontaneous

1.78, spontaneous

answer is C.

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Detailed Solution

$α - D g l u \cos e ⇌ β - D g l u \cos e$

$reaction quotient (Q) = \frac{[β - D g l u \cos e]}{[α - D g l u \cos e]}$

$= \frac{64}{36} = 1.777$

$Δ G^{0} = - 2.303 R T \log (Q)$

$= - 1.014 kJ . {mol}^{- 1}$

$As Δ G ° value is negative, reaction is spontaneous$

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