Problem $3(30\%)$

Derive the Clausius$-$Clayperon equation for describing phase equilibrium starting from

the equilibrium criteria. The sublimation pressure of dry ice $(C{O}_2)$ as a function of

temperature is shown below and its molar volume is $2\mathrm{.}8{10}^5\frac{m^3}{m}ol.$ Determine the

heat of sublimation of dry ice at $190K.$ Estimate the fugacity of solid $C{O}_2$ at $190K$

and $200$ bar.