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 $Li$ are:

$A{l}^{3+}+3e^{-}Al,V^0=-1\mathrm{.}677vs.$ NHE

$L{i}^{+}+e^{-}Li,V^0=-3\mathrm{.}040vs.$ 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:

$Al+xL{i}^{+}+x{e}^{-}L{i}_{x}Al$

$($a$)$ Using the Al$-$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$.$

Weight Percent Lithium