Question

An inventor claims to have developed a device requiring no energy transfer by work, Wey, or heat transfer, yet able to produce hot and cold streams of air from a

single stream of air at an intermediate temperature. The inventor provides steady-state test data indicating that when air enters at a temperature of 70°F and a pressure of5.1 atm, separate streams of air exit at temperatures of 0 and 175°F,respectively, and each at a pressure of 1 atm. Sixty percent of the mass entering the device exits at the lower temperature. Evaluate the inventor's claim, employing the ideal gas model for air and ignoring changes in the kinetic and potential energies of the streams from inlet to exit. \frac{\dot{\sigma}_{\mathrm{cv}}}{\dot{m}_{\mathrm{l}}}=0.1086 \frac{\mathrm{Btu}}{\mathrm{lb} \cdot{ }^{\circ} \mathrm{R}}

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