A bio$-$oil at $30\backslash$deg C of average enthalpy $=2\mathrm{.}8$ kJ$/($kg$)($K$)$ flows at $35$ kg$/$s from an openreservoir standing on a hill at $500$ m onto another open reservoir at the bottom. To ensurerapid flow, the pipe is heated at a rate of $140,000$ BTU$/$hr and the bio$-$oil reaches atemperature of $60\backslash$deg C$.$ Assuming a $100\%$ efficiency on the pump. What should be theminimum capacity of the pump $($in kW$)$ in the pipeline to assist in moving the oil