Calculate the equilibrium pressure (in Pascal) for the conversion of graphite to diamond at ${25}^{\circ }\mathrm{C}.$ The densities of graphite and diamond may be taken to be $2.20$ and $3.40\mathrm{g}/\mathrm{cc}$ respectively independent of pressure. (Express your answer in scientific notation $x\times {10}^y$ and write the value of y.)

 [ Given : $\mathrm{\Delta }{G}_{298}^{\circ }\left({\mathrm{C}}_{\text{(graphite) }}^{⟶}{\mathrm{C}}_{\text{(diamond) }}\right)=2900\mathrm{J}/\mathrm{mol}$]