Thermodynamics on steady state

[summaryseven]

Homework Statement

At steady state, a stream of liquid water at 20C, 1bar is mixed with a stream of ethylene glycol (M=62.07 g/mol) to form a refrigerant mixture that is 50% glycol by mass. The water molar flow rate is 4.2 kmol/min. The density of ethylene glycol is 1.115 times that of water.

Determine

a) the molar flow rate, in kmol/min, and volumetric flow rate, in m3/min, of the entering
ethylene glycol.

Homework Equations

m1 + m2 = m3

m1h1 + m2h2 = m3h3

The Attempt at a Solution

Firstly, I do not know whether is there a leaving flow on the ethylene glycol there that make it to have the m3 flow rate to exist.

If I assume there is a flow rate exit there,

Vf = 0.001002 m^3/kg
Density of water = 1/0.001002
= 998 kg/m^3
Density of ethylene = 1.115 x 998
= 1112.77kg/m^3

Mw = 18.015 kg/kmol
Volume flow rate of water = 18.015(4.2)(0.001002)
= 0.07581 m^3/min

0.07581 + m2 = m3

If I assume that the mass flow rate for the exit one is m3 = 0.5m2

The answer turns out to be negative, which i don't think is correct

 

[rude man]

questions for you:

what is the mass flow of the water?
therefore, what is the mass flow of the ethylene glycol?
therefore, what is the volumetric flow of ethylene glycol?
and finally the molar flow of the ethylene glycol?