1. Aluminum-lithium alloys are well known in the aerospace industry as strong. light-weight materials for advanced aircraft structures. However, these alloys have also been considered as electrodes in Li-ion batteries. The standard reduction potentials for Al and L are: Al3+3eAlL+eLiV0=1.677v..NHEV0=3.040vs.NHE Thus, in an electrochemical cell with Al metal and Li metal as the two electrodes, lithium will serve as the anode and aluminum the cathode, with the cathodic reaction written generally as: Al+xLi++xeiLin (a) Using the AI-Li phase diagram* to determine the phase evolution of the discharge, determine the expected discharge voltage profile if the reaction was performed at 150C. Make a sketch and label it. "Aluminum-lithium phase diagram: Note that there is appreciable solubility of lithium in aluminum, particularly at high temperatures. Therefore, we can designote the (Al) region as ' '. The AlLi compound is not a line compound at high temperatures, but rather has a range of stoichiometry. Therefore, we can designate = Alli (b) The graph shown below is actual experimental data acquired by researchers at Sandia National lab obtained at room temperature for this Li/Al cell. However, our phase diagram does not include the phases at room-temperature. Based on the specific capacities they observed, which Al-L compound did they likely obtain at the end of the discharge? Explain your answer. (Hint: Re-write the alloys in the form LixM and determine the specific capacity for each one; ther'sompare to the capacity obtained in the experimental data). (c) What is the Gibbs energy of formation (Gfo) for the phase formed at the end of the discharge? Assume that the plateau is at about 0.2V