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

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry5. Thermodynamics and thermochemistry1 Mark
MCQ
For the reaction takes place at certain temperature $N{H_2}COON{H_4}(s)\,\, \rightleftharpoons \,2N{H_3}(g)\, + \,C{O_2}(g)$. If equilibrium pressure is $3X$ bar then ${\Delta _r}{G^o}$ would be
  • A
    $-\,RT\,ln\, 9 \,-\, 3\,RT \,ln\, X$
  • B
    $RT\,ln\, 4 \,-\, 3\,RT \,ln\, X$
  • C
    $-\,3\,RT\, ln\, X$
  • ✓
    $-\,RT\,ln\, 4 \,-\, 3\,RT \,ln\, X$
✓

Answer

Correct option: D.
$-\,RT\,ln\, 4 \,-\, 3\,RT \,ln\, X$
d
$\Delta G^{\circ}=- R T \ln K_p , K_p =(2 x ) 2 X =4 X$

$\Delta G^{\circ}=-R \operatorname{TIn}(4 \times 3)$

$\Delta G^{\circ}=- R \operatorname{Tln} 4-3 R \operatorname{TIn} X$

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