The standard state Gibbs free energies of formation of C(graphite) and C(diamond) at T = 298 K areΔfG°Cgraphite=0 kJ mol−1ΔfG°Cdiamonda=2.9 kJ mol−1 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 2×10−6m3 mol−1. 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: 1 J=1 kg m2s−2 ; 1 Pa=1 kg m−1s−2 ; 1 bar=105Pa]
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a
14501 bar
b
29001 bar
c
1450 bar
d
58001 bar
answer is A.
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Detailed Solution
C(g)⇌C(D)ΔGRn O=ΔG(D)O−ΔG(g)o=2.9−0=2.9KJ/molΔG0=+PΔV2.9kg/m=P2×10−6P=1450 Bar