A vortex tube has an air inlet flow at 20◦C, 200 kPa and two exit flows of 100 kPa, one at 0◦C and the other at 40◦C, as shown in Fig. P7.162. The tube has no external heat transfer and no work, and all the flows are steady and have negligible kinetic energy. Find the fraction of the inlet flow that comes out at 0◦C. Is this setup possible?

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2 Inlet Hot outlet Cold outlet FIGURE P7.162