Nitrogen is to be liquefied by the Linde process, see figure, operating with pressure limits of 200 atm (points 3,4,7,and 8) and I at?n (points 8, 9, 10, 15, 2,1). It is desired to obtain 1 mass unit of liquid from cach 6 mass units of nitrogen flowing through the expansion valve ($\alpha = F_r/F_1 = 1/6$). Assume that the heat exchanger is perfectly insulated from its surroundings and that the minimum temperature difference between the two streams passing through this heat exchanger is to be 10°C. In order to maintain steady state conditions, to what temperature must the nitrogen be cooled, by the compressor after-cooler, before it enters the heat exchanger ($T_4$).