A uniform rod KJ of weight w shown in the figure rests against a frictionless vertical wall at the point K and a rough horizontal surface at point J. It is given that w = 10 kN, a = 4 m and b = 3 m.
The minimum coefficient of static friction that is required at the point J to hold the rod in equilibrium is __________. (round off to three decimal places)
A 100 mg of HNO3 (strong acid) is added to water, bringing the final volume to 1.0 liter. Consider the atomic weights of H, N, and O, as 1 g/mol. 14 g mol. and 16 g/mol, respectively. The final pH of this water is (Ignore the dissociation of water.)
In a city, the chemical formula of biodegradable fraction of municipal solid waste (MSW) is C100H250O80N. The waste has to be treated by forced-aeration composting process for which air requirement has to be estimated.
Assume oxygen in air (by weight) = 23% and density of air = 1.3 kg/m3. Atomic mass : C = 12, H = 1, O = 16, N = 14.
C and H are oxidized completely whereas N is converted only into NH3 during oxidation.
For oxidative degradation of 1 tonne of the waste, the required theoretical volume of air (in m3/tonne) will be (round off the nearest integer)
A sewage treatment plant receives sewage at a flow rate of 5000 m3/day. The total suspended solids (TSS) concentration in the sewage at the inlet of primary clarifier is 200 mg/L. After the primary treatment, the TSS concentration in sewage is reduced by 60%. The sludge from the primary clarifier contains 2% solids concentration. Subsequently, the sludge is subjected to gravity thickening process to achieve a solids concentration of 6%. Assume that the density of sludge, before and after thickening, is 1000 kg/m3. The daily volume of the thickened sludge (in m3/day) will be _________. (round off to the nearest integer)