At a location with an external angle (DELTA) of 30 degrees a curve of radius 1000 ft is used along with a spiral transition curve with k-value of 3 degrees per 100 feet. Calculate the length of each curve segment. Describe the reasons for using a spiral curve.

10 kg of co2 is initially contained at 400 kpa and 300 k. the gas constant for carbon dioxide is 189 j/lkg k) and has a specific heat ratio, k, of 1.289. isentropic expansion then occurs until the pressure is 200 kpa. a) determine the initial volume of co2 in m. b) determine the final temperature in k. c) determine the work done by the system during the expansion kl.