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A transformation of a crystal from its stable low-temperature alpha phase to the high-temperature stable beta phase occurs in a specific material. In equilibrium, this

A transformation of a crystal from its stable low-temperature alpha phase to the high-temperature stable beta phase occurs in a specific material. In equilibrium, this phase transformation occurs at a temperature Tt, with a transformation enthalpy of deltaHt. The alpha and beta phases have thermal capacities CP,a and CP,b, respectively (consider CP,a and CP,b to be constant with respect to temperature).

A) Calculate deltaH, deltaS, and deltaG for the a-b transformation at T > Tt. Is the transformation spontaneous under these conditions? Please explain your answer.

B) Calculate deltaH, deltaS, and deltaG for the a-b transformation at T< Tt. Is the transformation spontaneous under these conditions? Please explain your answer.

C) Calculate deltaH, deltaS, and deltaG for the b-a transformation at T > Tt. Is the transformation spontaneous under these conditions? Please explain your answer.

D) Calculate deltaH, deltaS, and deltaG for the b-a transformation at T < Tt. Is the transformation spontaneous under these conditions? Please explain your answer.

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