A $40-$lb aluminium bar, initially at Ta$=198$F$,$ is placed in a tank together with $190$lb of liquid water, initially at Tw$=70$F$,$ and allowed to achieve thermal equilibrium. The alumnium bar and water can be modeled as incompressible with specific heats ca$=0\mathrm{.}216$ Btu$/$lbR and cw$=0\mathrm{.}998$ Btu$/$lbR$,$ respectively. Consider the aluminum bar and water as the system and ignore heat transfer between the system and its surroundings. Determine the final temperature Tf$,$ in F$,$ and the amount of entropy produced within the tank, in Btu$/$R$.$