A portion of the phase diagram for the binary $M-L$ system is schematically given. At $800C,$

the activity of $L,a_L,$ based on pure $L()$ as the standard state in the $$ phase obeys the

relationship

$ln(\frac{a_L}{x_L})=1+x_M^2$

$x_L^{}=0\mathrm{.}96,$ calculate $x_L^{}$ assuming $L$ to obey Raoult's law in $.$