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4 4.1.8 A gas containing 80%CH4 and 20%He is sent through a quartz diffusion tube (see Figure and its composition is 50%He. Calculate the composition of the waste gas if 100kg moles of gas are processed per minute. Use the following notations: Q= flow rate, kgmol/min,n=kg-moles, x= mole fraction. Use the following symbols for subscript: i= input stream, w= waste stream, p= product stream, 1= CH4, methane, 2=He, helium. Use t=1 minute. a) Write the mass balance (MB) equations, and identify the unknowns b) Calculate the degree of freedom. If df>0, write additional constraint(s) until df=0 c) Solve the MB equations for the unknown variables d) Verify the mass balances for methane and helium