Adischarge of 2, 200 ft^3/sec flows in a trapezoidal channel at a normal depth of 8.0 ft. the channel has a slope of 0.01, a 12 ft bottom width, and side slopes of 1: 1 (h: v). determine the manning coefficient of channel roughness. also determine the sensitivity range of the roughness coefficient estimate if the flow rate can only be estimated to within ±200[cfs].

Asteam is contained in a rigid tank with a volume of 1 m3. initially, the pressure and temperature are 7 bar and 500 oc, respectively. the temperature drops due to cooling process. determine: (1) the temperature at which condensation begins in °c, (2) the fraction of the total mass that has condensed when the pressure decreased to 0.5 bar. (3) the volume in m3 occupied by saturated liquid at the final state?