$1.$ A pump rated at $8$kW pumps water from one holding tank to another at a rate of $0\mathrm{.}015$ m$3/$s$.$ Both tanks are open to the atmosphere and the free surface in the receiving tank is $10$ m higher than that in the supply tank. The diameter of the pipe connecting the tanks has a diameter of $0\mathrm{.}05$ m and an equivalent length of $40$ m$.$ What is the efficiency of the pump?

For flow through a pipe, refer to the graph below for determining the friction factor $,$ as a function of the Reynold$$s Number $($Re$).$ Read off values directly from the graph. Assume the pipe to be smooth. Given: $=1000$ kg$/$m$3,=8\mathrm{.}57\backslash$times $10-4$ Pa$$sLaminar Critical