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NEET 2012
Exam
NEET
Year
2012
Subject
Chemistry
Chapter
Thermodynamics (C)

NEET 2012 · Chemistry · Thermodynamics (C)

In which of the following reactions, standard reaction entropy...

In which of the following reactions, standard reaction entropy changes (ΔS∘)\left(\Delta S^{\circ}\right) is positive and standard Gibb's energy change (ΔG∘)\left(\Delta G^{\circ}\right) decreases sharply with increasing temperature?

Options

  1. AC\mathrm{C} (graphite) +12O2(g)⟶CO(g)+\frac{1}{2} \mathrm{O}_2(g) \longrightarrow \mathrm{CO}(g)
  2. BCO(g)+12O2(g)⟶CO2(g)\mathrm{CO}(g)+\frac{1}{2} \mathrm{O}_2(g) \longrightarrow \mathrm{CO}_2(g)
  3. CMg(s)+12O2(g)⟶MgO(s)\mathrm{Mg}(s)+\frac{1}{2} \mathrm{O}_2(g) \longrightarrow \mathrm{MgO}(s)
  4. D12C\frac{1}{2} \mathrm{C} (graphite) +12O2(g)⟶12CO2(g)+\frac{1}{2} \mathrm{O}_2(g) \longrightarrow \frac{1}{2} \mathrm{CO}_2(g)

Correct answer

A. C\mathrm{C} (graphite) +12O2(g)⟶CO(g)+\frac{1}{2} \mathrm{O}_2(g) \longrightarrow \mathrm{CO}(g)

Step-by-step solution

Among the given reactions only in the case of C (graphite) +12O2(g)⟶CO(g)\mathrm{C} \text{ (graphite) }+\frac{1}{2} \mathrm{O}_2(\mathrm{ g}) \longrightarrow \mathrm{CO}(\mathrm{g}) entropy increases because randomness (disorder) increases. Thus, standard entropy change (ΔS∘)\left(\Delta S^{\circ}\right) is positive. Moreover, it is a combustion reaction and all the combustion reactions are generally exothermic, i.e., ΔH∘=−\Delta H^{\circ}=- ve We know that ΔG∘=ΔH∘−TΔS∘ΔG∘=−vv−T(+ve)\begin{aligned} & \Delta G^{\circ}=\Delta H^{\circ}-T \Delta S^{\circ} \\ & \Delta G^{\circ}=-v \mathrm{v}-T(+\mathrm{ve}) \end{aligned} Thus, as the temperature increases, the value of ΔG∘\Delta G^{\circ} decreases.
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