FIGURE P$6\mathrm{.}57$

$6\mathrm{.}58$ inventor claims to have developed a device requiring no work or heat transfer input yet able to produce hot and cold air streams at steady state. Data claimed by the inventor are shown on the control volume in Fig. P$6\mathrm{.}58.$ The ideal gas model can be used for the air, and kinetic and potential energy effects can be neglected. Evaluate this claim.

FIGURE PO$.5$