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JEE Mains · Chemistry · STD 11 - 6.1. Equilibrium - 1 (chemical Equilibrium)

\(2 O _{3}( g ) \rightleftharpoons 3 O _{2}( g )\) At \(300 \,K\), ozone is fifty percent dissociated. The standard free energy change at this temperature and \(1\, atm\) pressure is \((-)\) \(........\,J\, mol ^{-1}\) (Nearest integer) [Given: \(\ln 1.35=0.3\) and \(R =8.3 J K ^{-1} mol ^{-1}\) ]

  1. A \(102\)
  2. B \(243\)
  3. C \(747\)
  4. D \(545\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(747\)

Step-by-step Solution

Detailed explanation

\(2 O _{3} \rightleftharpoons 3 O _{2}( g )\) \(\frac{2}{5} \quad\quad\quad \frac{3}{5}\) \(k _{ p }=\frac{ P _{ O _{2}}^{3}}{ P _{ O _{3}}^{2}}\) \(k_{p}=1.35\) \(\Delta G ^{\circ}=- RT \ln k _{ p }\) \(=-8.3 \times 300 \times \ln 1.35\) \(=-747 \,J / mol\)
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