Styrene, initially at room temperature (25 °c), is heated in a double-pipe cocurrent exchanger prior to entering a polymerization reactor. to carry out this operation a stream from another operation in the process with a connu kym and a hea capacity of 3.6 kj/kg k is fed into the outer pipe at 120 °c. thermal initiation polymerization requires the styrene stream to enter the reactor at a temperature of 70 for a 500-kg/h styrene stream flowing through the inner pipe (1 in. inside diameter the overall heat transfer coefficient has been measured to be 230 w/m k. if the heatina stream flow rate is 800 l/h and the heat capacity and density of styrene are 1.75 kj/kgk and 906 kg/m", respectively, answer the following questions: a. what length of heat exchanger is required for performing the necessary heating of the styrene stream? b. repeat part a if the styrene flow rate is doubled and the utility stream flow rate is held constant. (hint: the heat transfer coefficient varies with the fluid velocity as u v0.8.) c. can the specified operation be performed at double the flow rate in the same heat exchanger as that in part (a) by altering the utility fluid flow rate?