Q.

The standard state Gibbs free energies of formation of C(graphite) and C(diamond) at T = 298 K are

ΔfG°Cgraphite=0kJmol1

ΔfG°Cdiamonda=2.9  kJmol1 

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 2×106m3mol1. If C(graphite)  is converted to C(diamond) isothermally at T = 298 K , the pressure at which C(graphite) is in equilibrium with C(diamond), is [Useful information: 1J=1  kgm2s2 ; 1Pa=1kgm1s2 ; 1bar=105Pa]

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a

14501 bar

b

58001 bar

c

29001 bar

d

1450 bar

answer is A.

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Detailed Solution

C(g)C(D)ΔGRn O=ΔG(D)OΔG(g)o=2.90=2.9KJ/molΔG0=+PΔV2.9kg/m=P2×106P=1450  Bar

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