Suppose a $500-$mL beaker is filled to the brim with ethyl alcohol at a temperature of $5\mathrm{.}00$C$.$ You may assume the beaker is made of tempered glass, and has effectively zero thermal expansion.

$$ Part $($a$)$

What volume, in milliliters, will overflow the beaker when its temperature reaches $24\mathrm{.}5$C$?$ The coefficient of volume expansion for ethyl alcohol is $1\mathrm{.}100103$C$1.$

$$ Part $($b$)$

What volume of water, in milliliters, will overflow under the same conditions? The coefficient of volume expansion for water is $2\mathrm{.}10104$C$1.$