申論題

2. (20 points) The adiabatic thermoelastic effect describes the change in temperature with pressure for a brittle solid when it is loaded rapidly. This effect can be used to measure the stress that develop around defects in materials using cyclic loading and thermal imaging. (a) Show that the variation of temperature with respect to pressure at constant entropy (adiabatic condition) is. [10 points] (b) For 1 mole of alumina originally at T = 298 K, please estimate the change in temperature when it is loaded to 500 MPa, given tha [10 points]