At $1000^($@$)$C metal A is soluble in liquid B$,$ but B is not soluble in solid A as shown in the pertinent

part of the phase diagram. A $5$ cm diameter cylinder of A is rotated at $1000$ revolutions per minute

$($rpm$)$ in a large melt of $0\mathrm{.}5$ atom fraction B at $1000^($@$)$C$,$ and it is noted that after $15$ minutes the bar

diameter is $4\mathrm{.}8$ cm $.$ For the same temperature, estimate the bar diameter after $15$ minutes if another

$5$ cm diameter cylinder of A is rotated in a large melt of the same composition, but now it is rotated

at $4000$ rpm $.$ Assume that Sh$=($constant$)$ Sc$^(0\mathrm{.}343)$Re$^(0\mathrm{.}5),$ where R is the radius of the bar, and velocity

in the Reynolds number is the tangential velocity of the rotating bar. PLEASE SOLVE ASAP, HAVE AN EXAM