H$7\mathrm{.}1$ Consider a device that has one inlet with air flowing in at $T_1=20C,p_1=200$kPa, and two exit flows: one at $T_2=0C$ and the other at $T_3=40C,$ both at $100$ kPa $.$ The device operates at steady state with no external heat transfer or work and negligible kinetic and potential energy effects. Assume ideal gas with constant specific heats. Determine:

a$.$ fraction of inlet flow that comes out at exit $2(\frac{m_2^{}}{m_1^{}})$

b$.$ is such a device possible?