I need solution for parts C and D only ?????????? 43. A Hilsh Vortex tube for sa

Question

I need solution for parts C and D only ??????????

43. A Hilsh Vortex tube for sale commercially is fed with air at 300 K and 5 bar into a tangential slot near the center (point A in Figure P4.3) Stream B leaves from the left end at 1 bar and 250 K; stream C leaves at the right end at 1 bar and 310 K. These two streams then act as a sink and source for a Carnot engine and both streams leave the engine at 1 bar and TD. Assume ideal gases that have a constant heat capacity Cp = 29.3 J/mol K (a) If stream A flows at 1 mol/s, what are the flow rates of streams B and C? (b) What is TD? (c) What is the Carnot power output per mole of stream A? (d) What is the entropy change of the overall process per mole of A? (e) What is the entropy change in the Hilsh tube per mole of A. (f) What is the maximum power that one could obtain by any process per mole of A if all heat were rejected or absorbed from an isothermal reservoir at TD?

Explanation / Answer

a) Flow rate at B = 0.166 mol/ sec

Flow rate at C = 0.833 mol/sec

b) Td = 299.12 K

c) Carnot power output per mole of stream A = 26.4 J/sec

d) entropy change of the overall process per mole of A = 13.3 J/K

e) entropy change in the Hilsh tube per mole of A = 13.3 J/K

f) maximum power that one could obtain by any process per mole of A if all heat were rejected or absorbed from an isothermal reservoir at TD = 4000 J/sec

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