Project ForgeProcess Calculations
Laws of Thermodynamics
GATE 2014
Hard
Match the following thermodynamic expressions (Group 1) with their names (Group 2): P. (∂G/∂ni)_{T,P,n(j≠i)}, Q. (∂G/∂ni)_{S,V,n(j≠i)}, R. exp(−ΔG°reaction/RT), S. Σ(ni dμi)_{T,P}=0 — I. Arrhenius equation, II. Reaction equilibrium constant, III. Chemical potential, IV. Gibbs-Duhem equation
- AQ−III, R−I, S−II
- BQ−III, R−II, S−IV
- P−III, R−II, S−IV
- DP−III, R−IV, S−I
Explanation
P=(∂G/∂ni)_{T,P,nj}=μi, the definition of chemical potential → III. R=exp(−ΔG°rxn/RT)=K, the reaction equilibrium constant → II. S=Σ(nidμi)_{T,P}=0 is exactly the Gibbs-Duhem equation → IV. So P−III, R−II, S−IV.
Source: GATE CH 2014 (2014)
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