Well, I goofed here also. The critical pressure and temperature for ethylene is 50.75 bara, 282.65 K. I said in my earlier response that at 52 bara, 10 C you were in a slightly subcooled state. Actually, you are in a compressed liquid state. At that condition which is above the critical state I calculate a density of 266.67 kg/m3. Now, if the flow is basically going to be isothermal not falling below 10 C then as the pressure drops to 20 bara you are going to enter the two phase region which I am sure you do not wish to do. I guess my suggestion would be, would you be able to raise the entering temperature of the ethylene to at least 15 C @ 52 bara? This would put you in the superheated region with a gas density of 125.19 kg/m3. Of course as the pressure drops to 20 bara and the environmental temperature as indicated does not drop below 10 C you obviously stay in the superheated region.
I would just like to point out that my pressure, temperature and density numbers given above come from ASHRAE’s THPRSI that I have found very reliable.