(1) The specific volume of a certain perfect gas at 200 kPa and 40°C is 0.65 m³/kg. Calculate its gas constant and molecular weight. (2) One cubic metre of water is placed under an absolute pressure of 7,000 kPa. Calculate the volume at this pressure. (3) The velocity profile for laminar flow in a pipe is given by, v(r) = v(1-r²/R²) where r is measured from the centerline where v = v. at the centreline and R is the pipe radius. Find (r) and dv/ dr. Plot both versus r. C11