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ThermodynamicsHard JEE chemistry MCQ

The standard state Gibbs free energies of formation of $\mathrm{C}$ (graphite) and $C$ (diamond) at $\mathrm{T}=298 \mathrm{~K}$ are \[ \begin{gathered} \Delta_{f} G^{o}[\mathrm{C}(\text { graphite })]=0 \mathrm{~kJ} \mathrm{~mol} \\ \Delta_{f} G^{o}[\mathrm{C}(\text { diamond })]=2.9 \mathrm{~kJ} \mathrm{~mol}^{-1} . \end{gathered} \] The standard state means that the pressure should be 1 bar, and substance should be pure at a given temperature. The conversion of graphite [ C(graphite)] to diamond [ C(diamond)] reduces its volume by $2 \times 10^{-6} \mathrm{~m}^{3} \mathrm{~mol}^{-1}$. If $\mathrm{C}$ (graphite) is converted to $\mathrm{C}$ (diamond) isothermally at $\mathrm{T}=298 \mathrm{~K}$, the pressure at which $\mathrm{C}$ (graphite) is in equilibrium with $\mathrm{C}($ diamond), is [Useful information: $1 \mathrm{~J}=1 \mathrm{~kg} \mathrm{~m}^{2} \mathrm{~s}^{-2} ; 1 \mathrm{~Pa}=1 \mathrm{~kg} \mathrm{~m}^{-1} \mathrm{~s}^{-2} ; 1$ bar $=10^{5} \mathrm{~Pa}$ ]
  1. A. 14501 bar
  2. B. 58001 bar
  3. C. 1450 bar
  4. D. 29001 bar

Solution

The correct option is **A**.

CHEMISTRY

hardPYQ Reworded
Question
Read carefully, then pick the best option.
The standard state Gibbs free energies of formation of C\mathrm{C} (graphite) and CC (diamond) at T=298 K\mathrm{T}=298 \mathrm{~K} are ΔfGo[C( graphite )]=0 kJ molΔfGo[C( diamond )]=2.9 kJ mol1. \begin{gathered} \Delta_{f} G^{o}[\mathrm{C}(\text { graphite })]=0 \mathrm{~kJ} \mathrm{~mol} \\ \Delta_{f} G^{o}[\mathrm{C}(\text { diamond })]=2.9 \mathrm{~kJ} \mathrm{~mol}^{-1} . \end{gathered} The standard state means that the pressure should be 1 bar, and substance should be pure at a given temperature. The conversion of graphite [ C(graphite)] to diamond [ C(diamond)] reduces its volume by 2×106 m3 mol12 \times 10^{-6} \mathrm{~m}^{3} \mathrm{~mol}^{-1}. If C\mathrm{C} (graphite) is converted to C\mathrm{C} (diamond) isothermally at T=298 K\mathrm{T}=298 \mathrm{~K}, the pressure at which C\mathrm{C} (graphite) is in equilibrium with C(\mathrm{C}( diamond), is [Useful information: 1 J=1 kg m2 s2;1 Pa=1 kg m1 s2;11 \mathrm{~J}=1 \mathrm{~kg} \mathrm{~m}^{2} \mathrm{~s}^{-2} ; 1 \mathrm{~Pa}=1 \mathrm{~kg} \mathrm{~m}^{-1} \mathrm{~s}^{-2} ; 1 bar =105 Pa=10^{5} \mathrm{~Pa} ]
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Thermodynamics — Hard JEE Chemistry MCQ | MyGoalPrep