GATE ME 2021 Set 2 — Question 60

NAT+2 / -0HardCarnot Cycle & EntropyLaws & PropertiesThermodynamicsAvailability, Exergy & Irreversibility

Thermodynamics → Laws & Properties → Availability, Exergy & Irreversibility

Last updated 5 September 2026

Question

An adiabatic vortex tube, shown in the figure given below is supplied with 5 kg/s of air (inlet 1) at 500 kPa and 300 K. Two separate streams of air are leaving the device from outlets 2 and 3. Hot air leaves the device at a rate of 3 kg/s from outlet 2 at 100 kPa and 340 K, and 2 kg/s of cold air stream is leaving the device from outlet 3 at 100 kPa and 240 K. Assume constant specific heat of air is 1005 J/kg.K and gas constant is 287 J/kg.K. There is no work transfer across the boundary of this device. The rate of entropy generation is_______kW/K (round off to one decimal place).

\dot{S}_{gen} = \sum \dot{m}_e s_e - \sum \dot{m}_i s_i

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\dot{S}_{gen} = \sum \dot{m}_e s_e - \sum \dot{m}_i s_i

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