Q$1$: An air conditioned space with inside design condition of $DBT=26C,WBT=20C$ and outside air at $DBT=34C,RH=50\%.$ There is a commune extract duct to mix the fresh outdoor air of $0\mathrm{.}45k\frac{g}{s}$ to room recirculated air of $0\mathrm{.}35k\frac{g}{s}.$ the mixed air passes through a cooler has contact factor $0\mathrm{.}85$ and the dew point of the coil $8C.$

a$)$ Find the properties for all points by using equations and compare these values with the values gain with psychometric chart. b$)$ Drew the process on the psychometric chart. c$)$ Obtain the sensible$,$ latent and total heat gain.