$11.1000$ Kg of liquid at $30$C in a well stirred vessel has to be heated to $120$C$,$ using immersed coils carrying condensing steam at $150$C$.$ The area of the steam coils is $1\mathrm{.}2$ m$2$ and the overall heat transfer co$-$efficient to the liquid is $1500$ W$/$m$2.$C$.$ Assuming negligible heat loss to the surrounding and specific heat capacity of the liquid to be $4$ kJ$/$kg$.$C$,$ the time taken for the liquid to reach desired temperature will be

$15$ min

$22$ min

$44$ min

$51$ min