1) Reduce the partial derivative (๐œ•ฮผ๐œ•๐‘)๐‘“. The answer must be in terms of the thermodynamic properties ๐›ผ,๐‘๐‘ƒ๐‘Ž๐‘›๐‘‘๐‘˜๐‘‡.2) A particular system, containing 1 mol, is taken from state A to state B through a process that obeys ๐‘ƒ๐‘ฃ1/2=๐‘๐‘œ๐‘›๐‘ ๐‘ก.Knowing that during this process ๐›ผ=๐‘Ž๐‘ƒโˆ’1, ๐‘˜๐‘‡=๐‘and ๐‘๐‘ƒ=๐‘๐‘ฃ2are known and ๐‘Ž,๐‘,๐‘are 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 byln๐‘ƒ=๐ดโˆ’๐ต๐‘‡Where ๐ดand ๐ตare 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 byln๐‘ƒ=๐ถโˆ’๐ท๐‘‡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.