$5$

In the image above, a liquid with specific gravity $=0\mathrm{.}9$ flows steadily through a turbine. The fluid enters the turbine with gage pressure $287$ kPa $.$ It exits the the turbine with gage pressure $85$ kPa $.$

Determine the work for the fluid as it passes through the turbine in joules per kg fluid. Answer with a positive number if the work is energy transfer into the fluid and a negative number if the work is energy transfer out of the fluid.

You can assume that frictional losses for the fluid as it passes through the turbine are negligible. Also, the turbine inlet and outlet diameters are identical.

Your answer should include at least one digit after the decimal place.