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

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry5. Thermodynamics and thermochemistry1 Mark
MCQ
A plot of $ln\, K$ against $\frac{1}{T}$  ($x-$ axis) is expected to be a straight line, with intercept on $Y-$ axis equal to
  • A
    $\frac{{\Delta {S^o}}}{{2.303R}}$
  • ✓
    $\frac{{\Delta {S^o}}}{R}$
  • C
    $-\frac{{\Delta {S^o}}}{R}$
  • D
    $R \times \Delta {S^o}$
✓

Answer

Correct option: B.
$\frac{{\Delta {S^o}}}{R}$
b
$\Delta G ^{\circ}=- RT \ln K =\Delta H ^{\circ}- T \Delta S ^{\circ}$

$\ln K =\frac{\Delta S ^{\circ}}{ R }-\frac{\Delta H ^{\circ}}{ RT }$

Thus, a plot of $\ln K$ versus $1 / T$ (abscissa) will be straight line with slope equal to $-\frac{\Delta H ^{\circ}}{ R }$ and intercept $\frac{\Delta S ^{\circ}}{ R }$

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