Q$3](10$ Marks$)$

An ideal Brayton cycle with reheating system has a minimum pressure of $1$ bar. The minimum and maximum temperatures in the cycle are $300$ K and $1300$ K $.$ The temperature inlets of the two turbines are equal. The exit pressure of each turbine is quarter it's inlet.

Determine:

$1-$ The temperature at each point.

$2-$ The net work.

$3-$ The thermal efficiency.

$4-$ Draw the T$-$S diagram

Neglect the mass of the fuel. $CP=1\mathrm{.}005k\frac{J}{k}g.K,Y=1\mathrm{.}4$