Question

An aqueous mixture is prepared by feeding 3kg/s of 50% A (w/w) and 5kg/s 75% B (w/w) to a well stirred blender which has a capacity of 25kg. If after a period of steady state operation , a concentration of A changes to 60%, develop expression for the variation of outlet composition of A with time.

Answer 1

To develop an expression for the variation of the outlet composition of A with time, we use the concept of mass balance. By equating the mass of A entering the blender to the mass of A leaving the blender, and applying the law of conservation of mass, we can find the variation of outlet composition of A with time.

Step-by-step explanation:

To develop an expression for the variation of the outlet composition of A with time, we need to use the concept of mass balance. By applying the law of conservation of mass, we can equate the mass of A entering the blender to the mass of A leaving the blender:

Mass_A_in = Mass_A_out

Mass_A_in = (Mass_A_inlet × Concentration_A_inlet) + (Mass_B_inlet × Concentration_A_inlet)

Assuming steady-state operation and using the given values, we can solve for the variation of outlet composition of A with time:

Mass_A_out = (Mass_A_outlet × Concentration_A_outlet)

Solving for Concentration_A_outlet:

Concentration_A_outlet = (Mass_A_inlet × Concentration_A_inlet + Mass_B_inlet × Concentration_A_inlet) / Mass_A_outlet

This expression provides the variation of the outlet composition of A with time.