Steam is supplied to a fully loaded $100-$hp turbine at $200$ psia with u$1=1163\mathrm{.}3$ BTU$/$lb$,$ v$1=2\mathrm{.}65$ ft$3/$lb and v$1=400$ fps$.$ Exhaust is at $1$ psia with u$2=925$ BTU$/$lb$,$ v$2=294$ ft$3/$lb and v$2=1100$ fps$.$ The heat loss from the steam in the turbine is $10$ BTU$/$lb$.$ Neglect potential, energy change, and determine the work per lb steam $($lbm$).$