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1) You are running a manufacturing process where a mole fraction of 0.40 species

ID: 961236 • Letter: 1

Question

1) You are running a manufacturing process where a mole fraction of 0.40 species in a
binary mixture of 1 and 2 is required at a flow rate of 5 mol/s and a temperature of 300K. This is
achieved by mixing pure streams of 1 and 2. The stream of pure2 flows into the mixer at a
temperature of 300K. The molar enthalpy of mixing of species 1 and 2 is given by
Hmix,m=833x1x2 J/mol
Heat capacity data as follows; Cp,1,m=50J/(mol K), Cp,2,m=70 J/(mol K)
Assuming an adiabatic mixing process, what is the inlet temperature required for stream 1 to
achieve the desired outlet stream temperature.

2. What is the maximum number of phases you can have at equilibriu

Explanation / Answer

Given adiabatic process,

=> Initial energy = Final energy

Hmix,m=833x1x2 J/mol

x1=0.4,

=>Hmix,m= 199.92 J/mol

Q = 0

=> 199.92J/mol - 5mol/s*0.4*50J/(mol K) * (300-T) -5mol/s*0.6*70J/(mol K) * (300-300) =0

T = 298K

2) Maximum no. of phases, P = 2+N-F

N = no of components,

F = degrees of freedom

For max P, let F=0;

No of components = 2

=> Max no of phases = 4