QUESTION $1[25$ MARKS$]$

A $25$ cm long hair dryer is made with a fan driven by a motor, an electric heater and an air concentrator $($nozzle$).$ When the nozzle touches a horizontal plan, an angle of $28$ is noticed between the hair dryer and the plan. The power supplied to the fan is $120$ W and the rate of heat from the electric heater is $1200$ W $.$ a heat loss of $11$ W is noticed when the hair dryer is used. The conditions of air entering the dryer are $1\mathrm{.}2$ bar, $18C$ and $11\frac{m}{s}.$ At the exit, air is at $1\mathrm{.}4$ bar and $110C$ for a mass flow rate of $0\mathrm{.}2k\frac{g}{s}.$ considering the hair dryer as a steady flow energy equation, calculate:

The change in enthalpy of the air occurring per second between entering the fan and leaving the nozzle

The kinetic energy of the air entering the fan per second

The kinetic energy of the air leaving the nozzle per second

The velocity of the air as it leaves the nozzle

The density of the air as it leaves the nozzle

The flow area at the nozzle exit.