A 900 mm diameter conduit 3600 m long is laid at a uniform slope of 1 in 1500 and connects two reservoirs. When the levels in the reservoirs are low the conduit runs partly full and it is found that a normal depth of 600 mm gives a rate of flow of 0.322 m3 s−1. The Chezy coefficient C is given by Kmn , where K is a constant, m is the hydraulic mean depth and n = . Neglecting losses of head at entry and exit obtain

(a) the value of K,

(b) the discharge when the conduit is flowing full and the difference in level between the two reservoirs is 4.5 m.