Determine the temperature and the pressure at the triple point.Calculate the latent heat of sublimation and vaporization for this substance. Finally, determine, in the triple point, the corresponding latent heat of fusion.

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1) Reduce the partial derivative (πœ•ΞΌπœ•π‘)𝑓. The answer must be in terms of the thermodynamic properties 𝛼,π‘π‘ƒπ‘Žπ‘›π‘‘π‘˜π‘‡.

2) A particular system, containing 1 mol, is taken from state A to state B through a process that obeys 𝑃𝑣1/2=π‘π‘œπ‘›π‘ π‘‘.Knowing that during this process 𝛼=π‘Žπ‘ƒβˆ’1, π‘˜π‘‡=𝑏and 𝑐𝑃=𝑐𝑣2are known and π‘Ž,𝑏,𝑐are positive constants, determine the temperature variation of this system during this process in terms of the known values of states A and B.

3) In the neighborhood of the triple point the vapor pressure of a liquid is given byln𝑃=π΄βˆ’π΅π‘‡Where 𝐴and 𝐡are positive constants. This is the equation of the liquid-vapor transition curve in the T-P plane. Similarly, the vapor pressure of the solid of the same substance is given byln𝑃=πΆβˆ’π·π‘‡where C and D are also positive constants. Determine the temperature and the pressure at the triple point.Calculate the latent heat of sublimation and vaporization for this substance. Finally, determine, in the triple point, the corresponding latent heat of fusion.