The following stream is at 100 psia and 178 F. Calculate the fraction that is vapor by solving the Rachford-Rice equation: Chemical Ibmol/h K-value] Propane 20 3.7 n-Butane 30 1.4 In - Pentane 50 0.6 Rachford-Rice Equation: (K-1) = 1+(K-1) = k) 1+(K- - 1) y = KX Calculate v TABLE 7.10 Stream Data for the Hot and Cold Streams of Problem 7.4 Flowrate X specific Supply Target Stream heat (Btu/ F. h) temperature (F) temperature (F) H 20,000 300 100 HU ? 300 300 HU ? 500 500 20,000 190 290 C2 40,000 190 390 CU, ? 30 40 7.4. A plant has one process hot stream (H) and two process cold streams (Cy and C2). Two heating utilities are available for service, HU, and HU2, as well as a cooling utility. The two heating utilities are condensing steams whose costs are 3 and 5 ($/100 Btu), respectively. A minimum driving force of 10F is required for any heat exchange duty. Table 7.10 provides the data for the process. Determine the optimal usage of the two heating utilities and the cooling utility. Synthesize a network of minimum number of heat exchangers satisfying the minimum utility targets