Question

For questions 30 through 32 use the following information You are asked to analyze a process that has the process flow diagram shown in Figure 2. Answer questions 30 through 32 based on the information in this diagram. m2 kg/hr 0.10 [kg A/kg] X2.[kg B/kg] Unit 1 X2c [kg C/kg] 0.00 [kg D/kg] 1000 kg/hr X14 [kg A/kg) 0.35[kg B/kg] X1.c [kg C/kg] X1.0 [kg D/kg) 500 kg/hr 0.05 [kg A/kg] 0.10 [kg B/kg] 0.40 [kg C/kg) 0.45 [kg D/kg] Figure 2 ANSWER = C 30. What is the correct value of X1.c [kg C/kg]? A. 0.100 B. 0.225 C. 0.350 D. 0.600 E. None of the above ANSWER = B 31. What is the correct value of x1,0 [kg D/kg)? A. 0.100 B. 0.225 C. 0.350 D. 0.600 E. None of the above 32. What is the correct value of X2,kg B/kg]? A. 0.100 B. 0.225 C. 0.350 D. 0.600 E. None of the above ANSWERED

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Answer 1

We just need to do overall and component mass balances to find all the unknowns. Here, x denotes mass fraction Amount of any component in stream = Mass fracion * Total mass flowrate of stream Consider Overall Mass Balance: Total Mass IN Total Mass OUT 1000 m2 + 500 500 kg/hr m2 Consider Component B Mass Balance: Total B IN Total B OUT B in stream IN B in top stream OUT + 0.35 * 1000 X2,8 * m2 0.35 * 1000 X2,8 * 500 B in bottom stream OUT 0.1 * 500 0.1 * 500 X2,8 = 350-50 - 500 0.6 kg B/kg (Answer to 32) Sum of mass fractions of all components in each stream should be 1. Thus, For top stream OUT, 0.1 + X2,8 + X2.c + 0 = 0.1 +0.6 + X2,c +0 = 1 1 Thus, X2, = 0.3 kg C/ kg Consider Component C Mass Balance: Total CIN Total COUT Cin stream IN Cin top stream OUT + X1,c* 1000 X2,c* m2 X1,c * 1000 0.3 * 500 + Cin bottom stream OUT 0.4 * 500 0.4 * 500 + X2,8 = 150+200 1000 0.35 kg C/kg (Answer to 30)

Consider Component D Mass Balance: Total DIN Total D OUT D in stream IN Din top stream OUT + Din bottom stream OUT X1,0 * 1000 0 * 500 + 0.45 * 500 225 X1,0 1000 0.225 kg D/ kg (Answer to 31)