1.

The standard state Gibbs free energies of formation of C (graphite) and C(diamond) at T=298 K areDelta_(f)G^(@)[C("graphite")]=0kJ mol^(-1)Delta_(f)G^(@)[C("diamond")]=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 2xx10^(-6) m^(3) mol^(-1). If C (graphite) is converted to C (diamond) isothermally at T = 298 K, the pressure at with C (graphite) is in equilibrium with C (diamond), is[Useful information : 1J=1kg m^(2)s^(-2), 1Pa=1kg m^(-1)s^(-2)," 1 bar = "10^(5) Pa]

Answer»

<P>58001 BAR
1450 bar
14501 bar
29001 bar

Solution :`dG=VdP-SdT "At 298 K, SdT = 0"`
`therefore dG=VdP`
`underset(1)overset(P)intdG=underset(1)overset(P)intVdPtherefore G-G^(@)=V(P-1)""[because " Solids involved"therefore" V ALMOST constant"]`
`therefore Delta_(r)G=[G_("diamond")^(@)+V_(d)(P-1)]-[G_("graphite")^(@)+V_(g)(P-1)]`
`0=2.9xx10^(3)+(P-1)10^(5)(-2xx10^(-6))""thereforeP=14501 " bar"`


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