$(4$ points$)$

The electronic components of a computer are cooled by air flowing through a fan mounted at the

inlet of the electronics enclosure. At steady state, air enters at $24\mathrm{.}9C$ and $100$ kPa $.$ For noise

control, the velocity of the entering air cannot exceed $1\mathrm{.}75\frac{m}{s}.$ For temperature control, the

temperature of the air at the exit cannot exceed $32.$ The electronics use $81\mathrm{.}4$ W of power and

the fan uses $16\mathrm{.}3$ W $($assume that the power dissipated by the electronics is released in the form

of heat$).$ Assume that the velocity of the air is constant while flowing through the enclosure. You

may also assume a constant specific heat around room temperature. Determine the minimum

mass flow rate of the air and the minimum fan inlet diameter in order for the temperature and

noise control requirements to be met?

$k\frac{g}{s}$

cm