An inventor claims to have developed a device requiring no energy transfer by work or heat...
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An inventor claims to have developed a device requiring no energy transfer by work or heat transfer, yet able to produce hot and cold streams of air from a single stream of air at an intermediate temperature. Steady-state test data indicates that when air enters at a temperature of T₁ = 21°C and a pressure of P₁ = 5 bar, separate streams of air exit at temperatures of T₂ = 79°C and T3 = -18°C, and each at a pressure of P₂ = P₂ = 1 bar. The device operates at a split ratio y = m3/m₁ = 0.6, meaning sixty percent of the mass flow entering the device at T, and P, exits at the lower temperature T, and the remaining forty percent at the higher temperature T₂. Show by employing the ideal gas model for air and ignoring changes in the kinetic and potential energies whether this device is possible or not. Base your evaluation on the conservation of mass, energy and increase of entropy principle. T₂ = 79°C P₂ = 1 bar Hot outlet Inlet T₁ = 21°C P₁ = 5 bar 3 Cold outlet T₁=-18°C P3= 1 bar An inventor claims to have developed a device requiring no energy transfer by work or heat transfer, yet able to produce hot and cold streams of air from a single stream of air at an intermediate temperature. Steady-state test data indicates that when air enters at a temperature of T₁ = 21°C and a pressure of P₁ = 5 bar, separate streams of air exit at temperatures of T₂ = 79°C and T3 = -18°C, and each at a pressure of P₂ = P₂ = 1 bar. The device operates at a split ratio y = m3/m₁ = 0.6, meaning sixty percent of the mass flow entering the device at T, and P, exits at the lower temperature T, and the remaining forty percent at the higher temperature T₂. Show by employing the ideal gas model for air and ignoring changes in the kinetic and potential energies whether this device is possible or not. Base your evaluation on the conservation of mass, energy and increase of entropy principle. T₂ = 79°C P₂ = 1 bar Hot outlet Inlet T₁ = 21°C P₁ = 5 bar 3 Cold outlet T₁=-18°C P3= 1 bar
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