Charles and Mary are visiting a history park where a turbine uses flowing water from a stream to create power for

making flour. Water enters the turbine with a temperature of $22\mathrm{.}0C,$ and mass flow rate of $184\frac{g}{s}.$ Water exits

the turbine $12\mathrm{.}9ft$ below the entrance at $21\mathrm{.}4C.$ The turbine lacks sufficient insulation and loses heat at a rate of

$-34\mathrm{.}2$ W$.$ Assume that the heat capacity of liquid water is $4\mathrm{.}18\frac{J}{g*C}.$

Calculate the work produced by the turbine.

$W^{}=?$watts