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5. Thermodynamics and thermochemistry — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry5. Thermodynamics and thermochemistry1 Mark
MCQ
For a dimerization reaction,

$2 A ( g ) \rightarrow A _{2}( g )$

at $298\, K , \Delta U^ \ominus,=-20\, kJ\, mol ^{-1}, \Delta S \odot=-30\, J$$K ^{-1}\, mol ^{-1},$ then the $\Delta G ^{\ominus}$ will be........$J$

  • A
    $13536.6$
  • ✓
    $-13537.6$
  • C
    $-13535.5$
  • D
    $13530.2$
✓

Answer

Correct option: B.
$-13537.6$
b
$\Delta G^{\circ}=\Delta H^{\circ}-T \Delta S^{\circ}$

$=\left(\Delta U^{\circ}+\Delta n_{g} R T\right)-T \Delta S^{\circ}$

$\left.=\left[\{-20+(-1)) \frac{8.314}{1000} \times 298\right\}-\frac{298}{1000} \times(-30)\right] k J$

$=-13.537572 kJ$

$=-13537.57$ Joule

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