Chemistry - Thermodynamics - II Question with Solution | TestHub

ChemistryThermodynamics - IIFree Energy and EquilibriumHard2 minPYQ_2022

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$40 %$ of $HI$ undergoes decomposition to $H_{2}$ and $I_{2}$ at $300 K . {ΔG}^{Θ}$ for this decompostion reaction at one atmopsphere pressure is____ ${Jmol}^{- 1}$ -[nearest integer]

$(Use R = 8.31 {JK}^{- 1} {mol}^{- 1}; \log 2 = 0.3010, \ln 10 = 2.3, \log 3 = 0.477)$

Answer:

2735

Solution:

$HI (g) ⇌ \frac{1}{2} H_{2} (g) + \frac{1}{2} I_{2} (g)$

Initial moles	$1$	$0$	$0$
moles at equilibrium	$(1 - 0.4)$	$0.2$	$0.2$

$K_{P} = \frac{{(0.2)}^{\frac{1}{2}} \times {(0.2)}^{\frac{1}{2}}}{(0.6)}$

$K_{P} = \frac{0.2}{0.6} = \frac{1}{3}$

$ΔG ° = - 2.3 {RTlogK}_{P}$

$= - 2.3 \times 8.31 \times 300 \log \frac{1}{3}$

= $2375 {Jmol}^{- 1}$

Stream:JEESubject:ChemistryTopic:Thermodynamics - IISubtopic:Free Energy and Equilibrium

⏱ 2mℹ️ Source: PYQ_2022

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