Amonatomic ideal gas undergoes a quasi-static process that is described by the function =p1+−) , where the starting state is () and the final state () . assume the system consists of n moles of the gas in a container that can exchange heat with the environment and whose volume can change freely.

(a) evaluate the work done by the gas during the change in the state.
(b) find the change in internal energy of the gas.
(c) find the heat input to the gas during the change.
(d) what are initial and final temperatures?

Along 8-cm diameter steam pipe whose external surface temperature is 900c connects two buildings. the pipe is exposed to ambient air at 70c with a wind speed of 50 km/hr blowing across the pipe. determine the heat loss from the pipe per unit length. (b) air at 500c enters a section of a rectangular duct (15 cm x 20 cm) at an average velocity of 7 m/s. if the walls of the duct are maintained at 100c. a) the length of the tube for an exit temperature of the air to be 40 0c. b)the rate of heat transfer from the air. c) the fan power needed to overcome the pressure drop in this section of the duct.