A system pumps water from a lower reservoir to a higher reservoir. The pipe diameter is 0.245 m and the pipe lengths are L1= 5 m, L2= 3 m, L3= 3 m, and L4= 0.3 m. The impeller of the centrifugal pump has a diameter of 0.5 m and operates at 900 rpm. The uniform blade height is 56 mm. The water enters the pump parallel to the pump shaft with a flow rate of 0.19 m³/s. Take viscosity as 0.00112 N s/m². Determine the difference in height between the water surfaces in the two tanks assuming that there are no losses within the pump.

Work to 4 significant digits. Enter all values using base units or their combinations, i.e. m, m/s, Pa, N. Do not use multiples as e.g. mm, kPa.

You can use values with exponents, such as 0.12e3.